Which lines, if any, must be parallel based on the given
information? Justify your conclusion.
Answers
The lines that must be parallel for ∠9 to be congruent to ∠13 is c║ d converse of the corresponding angle theorem.
How to find the angles when a transversal cut parallel lines?When a transversal line cut across parallel lines, angle relationships are formed. Examples are corresponding angles, alternate angles etc.
Therefore, the lines that must be parallel for ∠9 to be congruent to ∠13 is as follows;
∠9 ≅ ∠ 13
Therefore,
∠9 and ∠ 13 are corresponding angles. when c║ d converse of the corresponding angle theorem.
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Related Questions
the volume of the prism below is 264 in3. what is the height of the prism
Answers
The volume of any prism = base area x height
Given Volume = 264 in^3
The prism is triangular based
Therefore, its base area = 1/2 x base x height
The base of the triangle= 8in
Height of the triangle = 6in
\(\begin{gathered} \text{ Base area = }\frac{1}{2}\text{ x 8 x 6} \\ \text{Base area= 24in}^2 \end{gathered}\)\(\begin{gathered} \text{ Recall, Volume = Base area x height} \\ H\text{eight = }\frac{\text{Volume}}{\text{Base area}} \\ \text{ Height=}\frac{264in^3}{24in^2} \\ \\ \text{Height}=11\text{ in} \end{gathered}\)The height of the prism is 11 in.
Simplify 18-6(2+4-1+2)÷3
Answers
Answer:
4
Step-by-step explanation:
Use PEDMAS
18 - 6(2+4-1+2) ÷ 3
18 - 6(6 - 1 + 2) ÷ 3
18 - 6(5 + 2) ÷ 3
18 - 6(7) ÷ 3
18 - 42 ÷ 3
18 - 14
4
Hope this helps!
The value of the simplified expression is 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
18 - 6 (2 + 4 - 1 + 2) ÷ 3
Apply the PEMDAS rule.
P = Parenthesis
E = exponents
M = Multiplication
D = Division
A = addition
S = Subtraction
Step 1:
18 - 6 (8 - 1) ÷ 3 ( remove the parentheses )
18 - 6 x 7 ÷ 3
Step 2:
18 - 42 ÷ 3 ( Multiplication )
Step 3:
18 - 42/3 (Division)
18 - 14
Step 4:
18 - 14 ( Subtraction )
4
Thus,
The value of the expression is 4.
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A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
Question 9 of 10
Which of these statements describes a coupon?
A. The shopper receives a discount now and pays sales tax on the
discounted price of the item.
B. The shopper receives a discount now and pays sales tax on the
full price of the item.
O C. The shopper receives a discount later and pays sales tax on the
full price of the item.
D. The shopper receives a discount later and pays sales tax on the
discounted price of the item.
SUBMIT
Answers
Answer:
A. The shopper receives a discount now and pays sales tax on the
discounted price of the item. I think, makes most sense
The customer pays sales tax on the lower price of the item and obtains a discount immediately. Then the correct option is A.
What is a coupon?A coupon that entitles the bearer to a reduction on a certain good.
The total amount of the product is calculated by first deducting the amount of discount and then apply sales tax on discounted price.
The shopper receives a discount now and pays sales tax on the discounted price of the item.
Then the correct option is A.
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A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% are yellow. Of the remaining key chains, 3/5 are green. How many red key chains are inside the bin?
Answers
pls help!!
Q:In a random sample, 8 students were asked how long it takes them to get ready for school in the morning. The times are listed below, compute the following:
22 29 21 24 27 28 25 36
Range:
Variance:
Std Deviation:
Answers
The required statistical parameters has been computed as follows:
Range = 15.
Standard deviation, SD = 4.4441.
Variance = 19.75.
How to calculate the range?Mathematically, the range of a data set can be calculated by using this formula;
Range = Highest number - Lowest number
Range = 36 - 21
Range = 15.
How to calculate the mean?Mathematically, the mean for these data sets would be calculated by using this formula:
Mean = [F(x)]/n
F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36
F(x) = 212.
Mean = 212/8
Mean = 26.5
Next, we would calculate the standard deviation by using this formula:
SD = √(1/n × ∑(xi - u₁)²)
SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)
Standard deviation, SD = 4.4441.
In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:
Variance = δ²
Variance = 4.4441²
Variance = 19.75.
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Help me please I will give Brainlyest
Answers
Answers Below
1) = 1/5
2) = 1/4
3) = 3/20
4) = 2/25
5) = 1/3
Please Brainly
Answer:
i)1/5
ii)1/2
iii)3/20
iv)1/3
Step-by-step explanation:
Just keep eliminating in all sums as we are multiplying and u will get the ans.
Pls mark me brainliest
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in lòng are cut from the four corners
and the flaps are folded upward to form an open box. If the volume of the box is 234 in³, what were the original
dimensions of the piece of metal?
Answers
The original dimensions of the piece of metal were 15 inches by 20 inches.
To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.
When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.
The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.
Substituting the values, we have:
234 = (x+3)(x-2)(1)
Simplifying the equation, we get:
234 = x^2 + x - 6
Rearranging the equation, we have:
x^2 + x - 240 = 0
Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.
Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.
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5.2: Bowling for Triangles (Part 2)
Here is a visual pattern of dots. The number of dots D(n) is a function of the step number n.
1. What values make sense for n in this situation? What values don't make sense for n?
Answers
Using the pattern, n can represent the the increase of dots according to step.
In the given question we have to find what values make sense for n in this situation.
n is representing the number.
As we can see that there is a pattern given.
In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.
So if we see the pattern then according to number of step the dots increasing accordingly.
As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.
So, n can represent the the increase of dots according to step.
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PLS HELP URGENT
In triangle PQR.
Sis the point on PR such that angle RSQ = 90°
RQ = 14 cm
RS -- 10 cm
SP - 5 cm
Work out the length of PQ.
Answers
PQ=11
PS^2+SR^2=QR^2
PS^2+PS^2=PQ^2
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...
Cos = Adjacent/Hypotenuse
cos(R) = 10/14 = 5/7
__
The law of cosines gives us the relation ...
PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)
PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121
PQ = √121 = 11
The length of PQ is 11 cm.
_____
Alternate solution
This can be solved using the Pythagorean theorem twice.
QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96
PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121
PQ = √121 = 11
A group of friends wants to go to the amusement park. They have $99.75 to spend on parking and admission. Parking is $17.25, and tickets cost $13.75 per person, including tax. Write and solve an equation which can be used to determine p, the number of people who can go to the amusement park.
Answers
Select the expressions that are equivalent to -5(-2w + 9 )
Answers
Answer:10−45
Step-by-step explanation: if you actually saw it then you will get that answer
A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean amount eaten by the 10 dogs is 14 oz. The sum of squared deviations is 220. What is the variance for this data set
Answers
Using statistical concepts, it is found that the variance for this data set is of 22 oz squared.
What are the mean and the variance of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
From the second bullet point, the variance can also be interpreted as the sum of squared deviations divided by the sample size.
In this problem, the sum of squared deviations is 220 and the sample size is 10, hence, the variance for this data set is of 22 oz squared.
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Q.No.4. Ali is hiking on the hill, whose height is given by f(u,v)=n^2 e^((u+n)/(v+n)). Currently, he is positioned at point (3,5). Find the direction at which he moves down the hills quickly. (5 points) Where n is the product of first and second digit of your arid number e.g. 19-arid-435 take n=4x3=12
Answers
Answer:
///////
Step-by-step explanation:
What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answers
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
Your firm purchases a business copier that costs $14,000 and requires $3,000 in maintenance for each year of its four-year life. After four years, the copier will be replaced. The copier falls into the MACRS three-year class life category. Use table 12.8 on page 415 in your textbook for DDB depreciation. If the tax rate is 32 percent, whats the depreciation tax shield for this project in year 4?
Answers
Answer:
The depreciation tax shield for this project in year 4 is $178.24.
Explanation:
To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.
From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.
Using the DDB method, we can calculate the depreciation expense for each year as follows:
Year 1: Depreciation expense = $14,000 x 33.33% = $4,667
Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554
Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830
Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557
The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:
$4,667 + $3,554 + $830 + $557 = $9,608
Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:
Depreciation tax shield = Depreciation expense in year 4 x Tax rate
Depreciation tax shield = $557 x 32% = $178.24
Therefore, the depreciation tax shield for this project in year 4 is $178.24.
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A triangle has side lengths of (8d – 3) centimeters, (60 + 2) centimeters, and
(75 + 8) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answers
After leaving an airport, a plane flies for 2 hours on a course of 60 degrees at a speed of 200 kilometers per hour. The plane then flies for 3 hours on a course of 210 degrees at a speed of 100 kilometers per hour What is the distance of the airport from the plane in kilometers? Round to the nearest tenth
Answers
Answer: 205.3
I suppose all measures of angles are done from the same axis (for example x-axis)
Step-by-step explanation:
You just have to use the theorem of Al'Kashi:
\(d^2=400^2+300^2-2*300*400*cos(30^o)\\\\d\approx{205.3(km)}\)
1 2/3 divided by 2 1/5
Answers
Answer:
0.75757575757
Step-by-step explanation:
devide 255 in the ratio 3:7:7:10
Answers
Answer:5
Step-by-step explanation:
5098
Write down the percentage multiplier to find 3% of a quantity
Answers
Answer:
0.03
Step-by-step explanation:
Hope this helps.
Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30-minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class?
Answers
Answer:
15 Poses
Step-by-step explanation:
SInce he can teach 30 poses in 60 minutes and if the class time is cut by half then the poses are cut by half. Look below.
Minutes : 60/2 = 30 minutes
Poses : 30/2 = 15 poses
Find the volume of a right rectangular prism that has a base area of 112 square feet and a height of 4 1/2
Answers
The volume of the right rectangular prism is 504 cubic feet.
To find the volume of a right rectangular prism with a base area of 112 square feet and a height of 4½ feet, we can use the formula:
Volume = Base Area x Height
First, we need to convert the height to feet and inches or decimal feet:
4½ feet = 4.5 feet
Now we can substitute the given values into the formula and calculate the volume:
Volume = 112 square feet x 4.5 feet
Volume = 504 cubic feet
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Urgenttt! Please help.
What is 1.3333… expressed as a fraction in simplest form? SHOW YOUR WORK.
(Hint: You will use two equations to answer this question. One of them is: x = 1.3)
Answers
Step 1: To convert 1.33 repeating into a fraction, begin writing this simple equation:
n = 1.33 (equation 1)
Step 2: Notice that there are 2 digitss in the repeating block (33), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.
100 × n = 133.333 (equation 2)
Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.
100 × n = 133.333
1 × n = 1.33
99 × n = 132
132
99
could be the answer, but it still can be put in the simplest form, i.e., reduced.
To simplify this fraction, divide the numerator and denominator by 33 (the GCF - greatest common factor).
n = 132
99
= 132 ÷ 33
99 ÷ 33
= 4
3
. So, 1.33 = 4/3
as the lowest possible fraction.
Julian’s friend James also has a tank in the shape of a triangular prism. The dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank. If the area of the triangular base of Julian’s tank is approximately 400 square inches, what is the approximate area of the triangular base of James’ tank?
3,025 square inches
2,035 square inches
3,045 square inches
4,025 square inches
Answers
The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
What is scale?A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
A = area of triangular base of James' tank, A' = area of triangular base of Julian's tank = 400 in²So, scale, S = A/A'
The approximate area of the triangular base of James’ tankSo, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
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Xx
Which equation models the rational function shown in
the graph?
2(x+2)
X-2
O f(x) =
O f(x) = x-2
x+2
2(x-2)
x+2
Of(x)=.
O f(x) = x+2
X-2
Answers
At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.
What is equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
From given graph we can see that
At x=2, the function in the graph is approaches to infinity.
It means function is not defined at x=2
We know that a rational function is undefined when denominator is equal to zero.
For equation 1:
f(x)= 2(x+2)/(x-2)
Equating the denominator:
x-2=0
x=2
It means function is not defined at x=2
The y-intercept is: y= -2
The function is passing through the point (1,-6).
When we substitute x=1
Hence, option 1 is true.
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Hey<3 If you help you’re amazing if you don’t you’re awesome.
Answers
============================================================
Check out the diagram below.
I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.
Block A = largest block on the leftBlock B = middle blockBlock C = smallest block on the rightSo,
volume of block A = length*width*height = 6*6*8 = 288 ft^3volume of block B = length*width*height = 6*6*5 = 180 ft^3volume of block C = length*width*height = 6*6*3 = 108 ft^3Therefore, the total volume we're working with is:
A+B+C = 288+180+108 = 576 cubic feet
The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.
4) A skate park charges $5.00 for admission and
$0.75 for each hour at the park. If Rolina spends
a total of $7.25 at the park, how long was she
there?
Answers
Answer:
She was there for 3 hours.
Step-by-step explanation:
7.25-5= 2.25
2.25÷0.75=3
Mr. Vega wants to put a rectangular pool in his backyard . If the length of the pool is 75ft. and the width of the pool is 22 feet, what will the perimeter of the pool be?
Answers
Answer:
2(l+b)
2(75+22)
=194
Step-by-step explanation:
the perimeter of the pool is calculated with a formula.
2(l+b)
Graphs. First correct answer will mark brainliest.
30 POINTS!!
Answers
The assumption in answering the question is that no student scored 0
The assumptions made in answering the questionFrom the question, we have the following parameters that can be used in our computation:
The bar chart
On the bar chart, we hae
Students that score more than 8 = 5
Students in the class = 33
The (b) is calculated by considering all students that score more than 0 from the histogram
This means that the assumption is that no student scored 0
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