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.


Now, subtract that from 207 to get the height of the smaller building.

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.

Distributive property

Subtract both sides by 1 and 2x

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! :)
Answer:
75
Step-by-step explanation:
Number of necklace= k × amount of time spent
6= k × 2/5
K = 6÷2/5
K= 6×5/2
K= 15
Therefore the number of necklace made in 5 hours can be calculated as follows
15 = number of necklace ÷ 5
Number of necklace = 15 ×5
Number of necklace = 75
Answer:
10, 14
Step-by-step explanation:
take the x values and plug into mid point formula and then divide by 2
so... (-214 + 234) divided by 2 = 10
do the same for the y values
so ... (14 + 14) divided by 2 = 14
so ... 10,14
First, write the expression.
180=(x+96)+5x
Second, add all coefficients.
180=6x+96
Subtract 96 from each side.
180-96=6x+96-96
84=6x
Divide both sides by 6.
14=x
Now that you have found the value of x, substitute x to solve the angles.
The first angle:
x+96
14+96=110 degrees
The second angle:
5*x
5*14=70 degrees
She needs to score another 95 on her next test!