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JulsSmile [24]
3 years ago
5

The angle measurements in the diagram are represented by the following expressions

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

∠ B = 45°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent , then

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

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The power is how many times you multiply the number by itself. 
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Which of the following BEST describes a pyramid?
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C

Step-by-step explanation:

Pyramids must have bases and a point off the base

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Steve puts an 18-foot ladder against his house. The ladder reaches a height of 15 feet on the house. How far is the bottom of th
krek1111 [17]

Answer:

3 \sqrt{11}

Step-by-step explanation:

Since we are given the hypotenuse which is 18 since it slanted, and leans on the house. And we are given one of the legs which is 15 since it is vertical. We can use the pythagorean theorem to solve for this problem.

{a}^{2}  +  {b}^{2}  = c {}^{2}

where a and b are the legs and c is the hypotenuse l.

Let plug it in

{a}^{2}  + 15 {}^{2}  =  {18}^{2}

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{a}^{2}  = 99

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4 0
3 years ago
The ratio of boys to girls in the
9966 [12]

Answer:

Answer : 52 girls

Step-by-step explanation:

Your ratio of boys to girls is 3:4

Set up a fractional proportion and cross multiply

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cross multiply

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3x = 156

x = 156/3

x = 52 girls

Hope this was helpful!❤

5 0
3 years ago
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
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