How to find angle in trapezoid given one angle.

Answer:7 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

The given statement is FALSE.

Given statement;

When practicing statistics in real life, it is not very important to check the necessary assumptions of a statistical procedure to effectively carry out and use the results.

The above-mentioned statement is FALSE.

→ We are aware that checking assumptions is crucial when applying statistics in daily life because failing to do so will prevent us from receiving fair answers to our statistical queries or drawing valid inferences. To use the good process and appropriate statistical distributions while utilizing statistics in daily life, it is crucial to examine assumptions.

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Answer:

each angle is 83

Step-by-step explanation:

166÷ 2 = 83

check

83+83=166

hope it helps!!

Answer:

sum of two vertically angle =166°

X=166°/2 = 83°.

hence, each angle is equal to 83°.

X=

Given:

if Trevor drives 225 miles

From the shown figure, to drive 225 miles he will use about 15 gallons

Given: the gasoline costs $2.379 per gallon

so, the total cost = 15 x 2.379 = $ 35.685

So, the answer will be $35.685

Answer:

Step-by-step explanation:

x+y = 9

x-y = 60

-----------

2x = 69

x = 34.5

y = 9-x = -25.5

smaller number: -25.5

larger number: 34.5

Answer:

The last one the one with (-6,00) and Range (5,00)

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

The surface area is 65.94 ft

The mode of the data represented in this line plot will be 8.

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

Answer:

dddd

Step-by-step explanation:

All the factors of 24

1

2

3

4

6

8

12

24

Answer:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12,and 24.

Recall that the surface area of a cube is given by

Where s the side length of the cube.

For the given case, the side length is x = 7 units

So, the surface area of the cube is

Answer:

Step-by-step explanation:

The correct equation that shows a step in the process of completing the square on the given quadratic y = x^2 + 8x – 3 is y = x^2 + 8x + 16 – 3 – 16. Completing the square involves adding and subtracting a constant term in order to create a perfect square trinomial. In this case, the constant term added is (8/2)^2 = 16, which is half the coefficient of the x-term squared. This step transforms the quadratic into the form (x + a)^2 + b, where a represents half of the x-term coefficient and b represents the constant term.

By adding 16 to the equation to create a perfect square trinomial, we need to subtract 16 afterward to maintain the equation’s balance. Thus, the equation becomes:

y = x^2 + 8x + 16 - 3 - 16

Simplifying further:

y = (x + 4)^2 - 19

Therefore, the correct equation is:

y = (x + 4)^2 - 19

Answer:

Step-by-step explanation:

Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.

Answer:

We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so, → x + 5.2 + 11.1 + 6.4 = 34.6 ⇒ Simplify equation → x + 22.7 = 34.6 ⇒ Minus 22.7 from both sides to isolate x → x = 11.9 feet

Step-by-step explanation:

mark brainliest

Answer:

1.08 feet

Step-by-step explanation:

5.2+6.4+11.1+x = 34.6

11.1x = 34.6 - 22.7

11x = 11.9

x = 11.9/11

1.08 feet

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

D) m=-5/7

Step-by-step explanation:

I used my calculator, but -5 divided by 7 equals -5/7.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

9(x + 3)< 6x - 12  equation

Step 2

9(x + 3)< 6x - 12  simplify

3x+27<-12

Step 3

3x+27<-12  Simplify by adding and dividing

x<-13

Answer^

FG and KH are congruent using the AAS theorem. ∠F = ∠K and ∠G = ∠H

The AAS (Angle-Angle-Side) Congruence Theorem is a geometric theorem that states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

In other words, if two triangles have two corresponding angles that are congruent, and the included side between these angles is also congruent in both triangles, then the two triangles are congruent.

The diagram shows that we have two triangles here. The first triangle is equal to the second triangle.

This is shown by the fact that the angle at F = angle at K

the angle at H = angle at G

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Answer:

use AAS for this

Step-by-step explanation:

Answer:

So Really, The Leftover Butter Is 3/8

Step-by-step explanation:

Alright So, Subtract 3/4 By 1/8 = 5/8 Then Subtract 5/8 By 1/4 =3/8

So 3/8 Of The Butter Was Left Over

I HOPE THIS HELPS : )

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

x = 18

Step-by-step explanation:

I the given triangle, it appears that M and N are the midpoints of the segments BG and BD respectively. If it so, then let us solve it.

By mid segment theorem:

2MN = GD

2(6x - 51) = 114

12x - 102 = 114

12x = 114 + 102

12x = 216

x = 216/12

x = 18

Answer: 6 thousandths but if you’re talking about the second six then it would be 6 ten thousandths

Step-by-step explanation:

Answer:

if you mean the place value of the last 6 it would be 6 thousandths if you mean the 2nd to last  it would be 6 hundredths.

Step-by-step explanation:

The resultant of the subtraction by the head-to-tail method, is determined as 7.81.

The head-to-tail method of vector subtraction is done by adding the negative of the second vector to the first.

The diagram can be found in the image uploaded.

The resultant vector is determined as follows;

R² = 6² + 5²

R² = 61

R = √61

R = 7.81

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Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation: