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Svetllana [295]
3 years ago
11

Please help thank you and show all work.

Mathematics
1 answer:
Daniel [21]3 years ago
6 0
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)
\approx 14

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! :)

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AveGali [126]

Answer:

0

Step-by-step explanation:

Use slope intercept form: \frac{y_2-y_1}{x_2-x_1}

\frac{-4-(-4)}{-12-(-6)} = \frac{0}{-6} = 0

5 0
3 years ago
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Triss [41]

Answer:

1.54 in²

Step-by-step explanation:

Given that,

→ Radius (r) = 0.7 in

Formula we use,

→ πr²

The area of the circle will be,

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→ (22/7) × 0.7 × 0.7

→ (22/7) × 0.49

→ [ 1.54 in² ]

Hence, area of circle is 1.54 in².

8 0
2 years ago
Please help, this is for 8th grade math.
expeople1 [14]

Answer:

(2,-2)

Step-by-step explanation:

The first step is to substitute y in the first equation with the right side of the second equation because they both equal to y.

-3x+4 = 4x-10

-3x-4x+4-4 = 4x-4x-10-4

-7x = -14

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x = 2

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y = 4(2)-10

y = 8-10

y = -2

Plugin x = 2 and y = -2 into (x,y), and you get (2,-2)

6 0
3 years ago
Ax+by+c=0 solve for y
kvv77 [185]

Answer: \large\boxed{y=\frac{-ax}{b} -\frac{c}{b}}

Step-by-step explanation:

ax+by+c=0\\ax+by=-c\\by=-ax-c\\y=\frac{-ax-c}{b}\\y=\frac{-ax}{b} -\frac{c}{b}

8 0
2 years ago
C
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The table on the far left

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