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Fiesta28 [93]
2 years ago
9

Find the measure of angle x in the figure below:

Mathematics
1 answer:
Solnce55 [7]2 years ago
6 0

Answer:

30°

Step-by-step explanation:

180-75-75=30

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3 years ago
Please help thank you and show all work.
Daniel [21]
Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

51*tan(15)
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Now, subtract that from 207 to get the height of the smaller building.

207-14=193

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

3x+1=2(x+8)

Distributive property

3x+1=2x+16

Subtract both sides by 1 and 2x

x=15

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)

6 0
3 years ago
Find a polynomial f(x) of degree 5 that has the following zeros.
lara [203]

Answer:

Step-by-step explanation:

F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)

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2 years ago
A pool in the shape of a rectangle prism is being filled with water. The length and width is 24 feet and 15 feet. If the hight o
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Check the picture below.

\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=24\\ w=15\\ h=1\frac{1}{3} \end{cases}\implies V=(24)(15)(1\frac{1}{3})\implies \stackrel{in~ft^3}{V}=(24)(15)(\frac{4}{3}) \\\\\\ \stackrel{\textit{converting all feet to inches}}{\stackrel{in~in^3}{V}=(24\cdot 12)(15\cdot 12)(\frac{4}{3}\cdot 12)}\implies V=(288)(180)(16)\implies V=\stackrel{in^3}{829440}

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2 years ago
Bill has enough money to buy no more than 1/2 pound of cheese. How much cheese could he buy?
andriy [413]
1/2 I guess I don't  think you typed in the question correctly. Not trying to be mean.
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