Which of the proportions is correctly set up to find the missing dimension of the enlarged trapezoid? StartFraction 2 over x EndFraction = StartFraction 6.5 over 3.25 EndFraction StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5 EndFraction StartFraction 2 over 3.25 EndFraction = StartFraction 6.25 over x EndFraction StartFraction x over 6.5 EndFraction = StartFraction 3.25 over 2 EndFraction

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Anser B your welcome sorry about the other answer with them not answering correctly  

Answer 2

Answer:

b is the anser

Step-by-step explanation:


Related Questions

For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.

For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that ABCXYZ ?

Answers

The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC△XYZ is option B

What are congruent triangles?

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

Angle - Side - Angle = ASASide -  Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HL

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that ABCXYZ ?

Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.

Answers

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

20-[10{5+9÷(10÷7)3}

20-[10{5+9(107)3}

Answers

Answer:

-219

Step-by-step explanation:

Start with the inner most parenthesis.  Follow the orderof operation:

Parentheses

Mult/Div.  Left to right

Add/Sub  Left to right

20-[10{5+9(107)3}

a factory made about 90,000 thousands toys last year. what is the greatest number of toys the factory could have made last year?

Answers

The greatest number of toys the factory could have made last year is 163,787,585 toys. This is calculated by multiplying the daily production rate of 492,827 toys by the number of days in a year (365), and then dividing the total by 1,000 to convert it to thousands.

90,000 thousands toys is equivalent to 90,000,000 toys (since 1 thousand = 1000).

To find the greatest number of toys the factory could have made last year, we can multiply the number of toys made per day by the number of days in a year.

Since there are 365 days in a year, the factory could have made

492,827 toys/day x 365 days = 179,847,755 toys

However, since the question asks for the greatest number of toys the factory could have made, we need to take into account any possible missed production days (e.g. holidays, maintenance, etc.).

Assuming the factory operated at full capacity for 90% of the year, the greatest number of toys they could have made would be fin my multiplying,

492,827 toys/day x 365 days x 0.9 = 163,787,584.5 or approximately 163,787,585 toys.

Therefore, the greatest number of toys the factory could have made last year is 163,787,585 toys.

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--The given question is incomplete, the complete question is given

"A toy factory makes 492,827 toys each day. a factory made about 90,000 thousands toys last year. what is the greatest number of toys the factory could have made last year?'--

3. Estimate the value of -V 150 by plotting it ona number line.• BetweenDecimal estimate: 2

3. Estimate the value of -V 150 by plotting it ona number line. BetweenDecimal estimate: 2

Answers

The first thing is to calculate the value of the root.

\(-\sqrt{150}=-12.247\)

therefore, is between -12 and -13

decimal estimate: 0.24

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden. The graph models the growth of
each plant since the day they were planted.
12
11
10
9
8
Height 74
of Plant 6-
(cm) 5
4
3
1
1
3
Days After Being Planted
How many days after being planted were the two plants the same height?
OA 2
B. 3
OC. 5

Answers

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his

The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.Thus, if a point lies on the graph of a function, then it must also satisfy the function.On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.The graph models the growth of each plant since the day they were planted.

We need to find How many days after being planted were the two plants the same height.The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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Shauna calculated the net sales for her company using the following figures: Gross sales = $72,900 Sales discounts = $2,450 Purchase returns and allowances = $3,750 Sales returns and allowances = $2,550 The net sales of Shauna's company are __________.

Answers

The net sales of Shauna's company when she calculated the sales for her company using the figures is $66700.

What are net sales?

The total of a company's net sales is its gross sales less any returns, allowances, and discounts. Externally, net sales calculations are not always obvious. They can frequently be taken into account when calculating top-line revenues that are shown on the income statement.

The total number of units sold is multiplied by the price per unit for the purpose of calculating gross sales. The term "returns" or "sales returns" refers to products that customers have sent back in exchange for reimbursement.

The nets sales based on the information given will be:

Gross sales = $72900

Less: Retuned sales = $3750

Less Discount = $2450

Net sales = $66700

Therefore, the net sale is $66700.

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PLEASE HELP ME ASAP ILL GIVE BRAINLIEST

PLEASE HELP ME ASAP ILL GIVE BRAINLIEST

Answers

The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

How to define the absolute value function?

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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Please help I will give brainliest

Please help I will give brainliest

Answers

quadrilateral; irregular

Answer:

quadrilateral

Step-by-step explanation:

4 sides = quadrilateral

Which expressions are equivalent to

4(3e+2)+9(e+4)+1 ?

Select all that apply.

3 (7e +15)

16e +45

45 + 21e

3 (7e +45)

6+2 (5e +20) + 5

Answers

Answer:

45 + 21e   3  (7e  +15)

Step-by-step explanation:

The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be

⇒ 45 + 21e

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4(3e+2) + 9(e+4) + 1

Now,

We can simplify the expression as;

⇒ 4(3e+2) + 9(e+4) + 1

⇒ 12e + 8 + 9e + 36 + 1

⇒ 21e + 45

⇒ 45 + 21e

Thus, The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be;

⇒ 45 + 21e

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≥≥↔≡⇒mjfjch hfxcfhdskjlhvhjgfcvnfhju,b

Answers

Answer:

$1620.00

Step-by-step explanation:

Does anyone know how to do this?

Does anyone know how to do this?

Answers

Answer:

A

Step-by-step explanation:

\(\dfrac{f(x)}{g(x)}=\dfrac{x+1}{x^{2}-x}\\f(x) = \dfrac{x+1}{x^{2}-x}*g(x)\\\\\dfrac{2}{x}*\dfrac{x^{2}-x}{x+1}=g(x)\\\\\\\dfrac{2}{x}*\dfrac{x(x-1)}{x+1}=g(x)\\\\\\\dfrac{2(x-1)}{x+1}=g(x)\\\\\\)

An unusually wet spring has caused the size of a mosquito population in some city to increase by 7​% each day. If an estimated 18​0,000 mosquitoes are in the city on May 9​, find how many mosquitoes will inhabit the city on May 19. Use y=18​0,000(1.07)x where x is number of days since May 9. Question content area bottom Part 1 On May 19 there will be approximately enter your response here mosquitoes. ​(Round to the nearest thousand as​ needed.)

Answers

There will be 354087.24 mosquitoes on the 19th of May.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

.

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 9 May 19  = 10 days

Therefore, a number of mosquitoes inhabiting the city on May 19 will be :

y = 180000(1.07)^10

y = 180000  x  1.96715136

y = 354087.24

y = 354087.24  (nearest whole number).

Therefore there will be 354087.24 mosquitoes on the 19th of May.

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Help plz:)))I’ll mark u Brainliest

Help plz:)))Ill mark u Brainliest

Answers

9514 1404 393

Answer:

  x = 18

Step-by-step explanation:

The parallel lines cut the transversals proportionally.

  (2x -1)/40 = 21/24

  2x -1 = 35 . . . . . . . multiply by 40

  2x = 36 . . . . . . . . add 1

  x = 18  . . . . . . . . . divide by 2

Macy of New York sold LeeCo. of Chicago office equipment with a $6,300 list price. Sale terms were 3/10, n/30 FOB New York. Macy agreed to prepay the $40 freight. LeeCo. pays the invoice within the discount period. What does LeeCo. pay Macy?

Answers

The amount that LeeCo pays Macy for the office equipment at the $6,300 list price, sales terms of 3/10, n/30 FOB with payment made within the discount window, is $6,111.

What is a cash discount?

A cash discount refers to a reduction in the price of an item due to payment within the discount period.

A cash discount incentivizes the customer to make prompt payments.

The list price of the equipment = $6,300

Sales terms: 3/10, n/30 FOB

Prepaid freight = $40

Cash discount = $189 ($6,300 x 3%)

Payment after the discount = $6,111 ($6,300 - $189)

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The distance from Detroit, MI to Paris, France is approximately 3930 mi. Flying from Detroit to Paris takes 8 hr with the jet stream. The return flight takes 8.3 hr since the plane is flying against the jet stream.
a. The speed of the plane in still air, rounded to the nearest whole number, is
b. The speed of the jet stream, rounded to the nearest whole number, is

Answers

Answer:

a. 482

b. 9.0

Step-by-step explanation:

The speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph

How does air stream affects speed of flight?

Flight speed in air stream = Flight speed in still air + effect of air stream

If the flight is going opposit, then:

Flight speed in air stream = Flight speed in still air - speed of air stream

If the flight is going along with flight, then:

Flight speed in air stream = Flight speed in still air + speed of air stream

For this case, we're specified that:

Distance from Detroid to Paris is approx 3930 milesTime it takes by flight along the air stream = 8 hoursTime it takes by flight against the air stream = 8.3 hours

Speed of flight along the stream is:

\(S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8} = 491.25 \: \rm mph\)

Speed of flight against the stream is:

\(S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8.3} \approx 473.49 \: \rm mph\)

Let the speed of air stream be y, and that of the flight in still air be x miles per hour, then we get:

Along air stream:

\(x + y =491.25\\\) (in miles per hour)

and Against the stream:

\(x - y =473.49\\\) (in miles per hour)

Adding both the equations side by side, we get:

\(2x + y - y = 491.25 + 473.49\\\\x = \dfrac{964.74}{2} =482.37 \: \rm mph\)

Using this value, we get the value of y as:

\(x + y =491.25\\y = 491.25 - x = 491.25 - 482.37 = 8.88 \: \rm mph\)

Rounding to the nearest whole numbers, we get:

x = 482 mph, and y = 9 mph

Thus, the speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph

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Simplify: |−25| × |11| + (−|−20|) A. −295 B. 295​

Answers

Answer:

-25×11+(-21)

-275-21

=-296

A house is sold for $195,000. The mortgage is $168,745.60 at 8%. Annual taxes are $3,893.25. The closing will occur on June 15. What are the total prorations for interest (for the full month) and for property taxes to the nearest $100? Will the prorations be added to, or subtracted from, the seller's equity?

Answers

To calculate the prorations for interest and property taxes, we need to determine the number of days each party (the buyer and the seller) will own the property during the month of June.

There are a total of 30 days in June, so the seller will own the property for 15 days (from June 1 to June 15), and the buyer will own the property for 15 days (from June 16 to June 30).

Prorations for Interest:

The annual interest rate is 8%, which means the monthly interest rate is 8%/12 = 0.6667%. To calculate the daily interest rate, we divide the monthly interest rate by 30 (the number of days in June):

0.6667% / 30 = 0.0222%

The total interest owed for the full month is:

$168,745.60 x 0.6667% = $1,124.28

To calculate the prorated interest for the seller, we multiply the daily interest rate by the number of days the seller owned the property:

0.0222% x $168,745.60 x 15 = $559.02

To calculate the prorated interest for the buyer, we multiply the daily interest rate by the number of days the buyer will own the property:

0.0222% x $168,745.60 x 15 = $559.02

Therefore, the total prorations for interest are:

$559.02 for the seller and $559.02 for the buyer.

Prorations for Property Taxes:

To calculate the prorated property taxes, we divide the annual taxes by 365 (the number of days in a year) to get the daily tax rate:

$3,893.25 / 365 = $10.66 per day

To calculate the prorated property taxes for the seller, we multiply the daily tax rate by the number of days the seller owned the property:

$10.66 x 15 = $159.90

To calculate the prorated property taxes for the buyer, we multiply the daily tax rate by the number of days the buyer will own the property:

$10.66 x 15 = $159.90

Therefore, the total prorations for property taxes are:

$159.90 for the seller and $159.90 for the buyer.

The prorations will be subtracted from the seller's equity because they represent expenses incurred by the seller during the time they owned the property.

A party rental company has chairs and tables for rent.The total cost to rent 5 chairs and 3 tables is $39.The total cost to rent 2 chairs and 12 tables is $129.What is the cost to rent each chair and each table?

Answers

Answer:

The cost to rent each chair is $0.6.

The cost to rent each table is $10.5.

Step-by-step explanation:

Let's denote the cost of renting one chair as c and the cost of renting one table as t. Then we can write two equations based on the given information:

5c + 3t = 39 (equation 1)

2c + 12t = 129 (equation 2)

We can use these equations to solve for c and t. One way to do this is to solve for one variable in terms of the other in one of the equations, and then substitute that expression into the other equation. For example, we can solve equation 1 for c:

5c + 3t = 39

5c = 39 - 3t

c = (39 - 3t)/5

Now we can substitute this expression for c into equation 2:

2c + 12t = 129

2[(39 - 3t)/5] + 12t = 129

Simplifying and solving for t, we get:

(78 - 6t)/5 + 12t = 129

78 - 6t + 60t = 645

54t = 567

t = 10.5

So the cost of renting one table is $10.5. We can substitute this value back into equation 1 to solve for c:

5c + 3t = 39

5c + 3(10.5) = 39

5c = 3

c = 0.6

Therefore, the cost of renting one chair is $0.6.

In summary, the cost to rent each chair is $0.6 and the cost to rent each table is $10.5.

A shop makes a profit of £2 750 in March
It has an Easter sale and the profit for April is £3 162.50
Work out the profit percentage increase

Answers

The percent increase of the profit is 15%

How to determine the percent increase of the profit?

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Find the width of a rectangle room with the length of 60 meters in a area a of 2,400 m²

Answers

Answer: width = 40m

Explanation:
W = Area/length
W = 2400/60
W = 40

A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?
6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones

Answers

15 upgraded phones add them all up subtract the biggest from smallest then divide 2 sums to get your answer

Answer:

Step-by-step explanation:

C.) 15 upgraded phones

It took the paramedics 840 seconds to arrive at the scene. How many minutes did it take for the paramedics to arrive? (Round to the nearest minute, if necessary.)​

Answers

Answer:

14 min

Step-by-step explanation:

Dividing 840 seconds by (60 sec / 1 min) results in 14 minutes.

( (60 sec / 1 min) is a conversion factor, sec to min or min to sec.)

Answer:

14 minutes

Step-by-step explanation:

840/60 = 14

Sjwjsjsj help due 1 minute

Sjwjsjsj help due 1 minute

Answers

Answer:

#1. b. 11

#2. b. 5.1

Step-by-step explanation:

Number 1

USE PEMDAS

Calculate within aprentheses (8/4) = 2

2^2 = 4

2 times 4 = 8

14-8+5 = 11

Number 2

3/5 = 0.60

8.5 x 0.60 = 5.1

Answer:

1. B

2. B

Step-by-step explanation:

please help me with intersections i’ll give you brainlist

please help me with intersections ill give you brainlist

Answers

Answer:

(-3,-1)

Step-by-step explanation:

The two lines intersect at that point. -3 is in the x axis and -1 is in the y axis.

14. A company uses many different delivery
services. The probability that any given parcel
will be sent by the ABC Speedy Delivery Service
is 0.71. The probability that the parcel will arrive
on time given the ABC Speedy Delivery
Company was used is 0.93. If a parcel is
randomly selected, find the probability that it will
be sent with the ABC Speedy Delivery Company
and arrive on time.

Answers

Answer:

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Sent by ABC Speedy Delivery Service.

Event B: Arrived on time.

The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.

This means that \(P(A) = 0.71\)

The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.

This means that \(P(B|A) = 0.93\)

Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

This is \(P(A \cap B)\). So

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

\(P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603\)

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

PLEASE HELP IMAGE ATTACHED!!
a) Write a polynomial expression for the area of the shaded portion of the figure b) The area of the shaded portion is indicated above the figure . Find the area of the larger and smaller rectangles

A) A polynomial expression for the area of the shaded portion of the figure is ?

B) The area of the larger rectangle is ? Sq in.

C) The area of the smaller rectangle is ? Sq in.

PLEASE HELP IMAGE ATTACHED!!a) Write a polynomial expression for the area of the shaded portion of the

Answers

Part a: The shaded area of the figure's polynomial expression: 16x + 30.

B) The larger rectangle has a surface area of 96 Sq in.

D) The smaller rectangle has a surface area of 18 Sq in.

Explain the term polynomial expression?

By combining numbers and variables with the help of arithmetic operations like addition, subtraction, multiplied, division, and exponentiation, polynomials are algebraic expressions.

A polynomial can be made by adding or removing terms. Applications ranging from engineering and sciences to business can benefit greatly from polynomials

For question:

Dimensions are-

Complete region:

length L = 2x + 6Width W = x + 5

Non shaded rectangle:

length l = 2xwidth w = x

Part A: The shaded area of the figure's polynomial expression is as follows:

Area = Length * width(complete)   -  Length * width(smaller)

Area = (2x + 6)(x + 5) - 2x(x)

Area = 2x² + 16x + 30 - 2x²

Area = 16x + 30

Find x-

Given shaded area = 78 sq. in

78 = 16x + 30

16x = 48

x = 3

B) The larger rectangle has a surface area of ___Sq in.

Area of larger rectangle = (2x + 6)(x + 5)

 = (2*3 + 6)(3 + 5)

= 12*8

= 96 Sq in.

D) The smaller rectangle has a surface area of __Sq in.

Area of smaller rectangle = 2x (x)

= 2*3*3

= 18 Sq in

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plssss help (the answer choices are the same for all)

plssss help (the answer choices are the same for all)

Answers

1) x < 8/3
2) x > -9
3) Infinite Solutions
4) No Solution

Please correct me if I’m wrong. Hope this helps!

help i have test and have no idea how to do this

help i have test and have no idea how to do this

Answers

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

How to explain the information

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

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Michael’s father bought him a 16-foot board to cut into shelves for his bedroom. michael plans to cut the board into 11 equal size lengths for his shelves.the saw blade that michael will use to cut the board will change the length of the board by -0.125 inches for each cut. how will this affect the total length of the board?

Answers

Step-by-step explanation:

you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc

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