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Grace [21]
3 years ago
8

What is the value of x 24 9 21 14

Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0
Both of this angles are same side interior angles which means both of this angles when added equal to 180 degrees

5x +15 + 3x - 3 = 180

8x - 12 = 180
     +12     +12

8x = 192 

x = 24
nasty-shy [4]3 years ago
4 0

we know that

(5x+15)\°+(3x-3)\°=180\° -----> by consecutive interior angles

so

Solve for x

(5x+15)+(3x-3)=180\\ 8x+12=180\\8x=180-12 \\x=168/8 \\x=21\°

therefore

<u>the answer is</u>

x=21\°

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A container has 1 pink block and 3 green blocks. Juan wants to make the probability of randomly selecting a black block equal to
alex41 [277]

Answer:

4

Step-by-step explanation:

He should add 4 black blocks because there are a total of 4 other blocks, and in order to have a probability of 50%, the number of black blocks needs to be equal to the total number of the other colored blocks.

8 0
3 years ago
The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length
Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P =  2(L + W)  ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}

\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}

Substitute the value of the Perimeter and the length (L) into the formula:

\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

\displaystyle\mathsf{34\:=14\:+2W}

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).  

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0
3 years ago
The Great Pyramid of Giza is a square pyramid located by El Giza, Egypt. The height of the pyramid is currently 455.4 feet. The
jonny [76]
V = a²h/3

Plugging values in we get 8.67X10^7, or 86,700,000
3 0
3 years ago
Which is an asymptotic of the graph of the function y=cot [x- 2pi/3]
astraxan [27]

Answer:

B

Step-by-step sexplanations

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5 0
3 years ago
Erin made a line plot of the amount of time she practiced shooting free throws each day in the past 10 days.
Airida [17]

Answer:

Data: for the 10 days of practice, we have:

0.5 hours 1 time.

0.75 hours 2 times

1 hour 3 times

1.25 hours 2 times

1.5 hours 1 time

2 hours 1 time.

A) the largest amount number of times that she practiced by the same amount of time is 3 (for the 1-hour practice)

The smallest is 1 ( for the 0.5h, 1.5h, and 2h practices)

the difference is 3 - 1 = 2.

B) the time that she practiced more times is 1 hour, she practiced that amount of time in 3 different days out of the 10 days.

C) the equation can be found by multiplying the number of hours by the number of times that she practiced that amount of time, and then adding all of them:

0.5h*1 + 0.75h*2 + 1h*3 + 1.25h*2 + 1.5h*1 + 2h*1  

D) the solution for the previous equation is 11 hours. Here the correct option is A.

5 0
3 years ago
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