Step 1: Find the slope:

Step 2: Set up your equation
using one of the points.
Using (5,6) we have
.
Using (6,10) we have 
Both of those equations would be correct.
Here, Area of a Triangle = 1/2 * b * h
A = 1/2 * 6 * 8
A = 1/2 * 48
A = 24
Area of two traingles = 2(24) = 48
Now, Area of a rectangle = 25 * 5 = 125
Now, Total area of the figure = 125 + 48 = 173 units2
In short, Your Answer would be Option A
Hope this helps!
Angles on a straight line add up to 180 degrees so
45 + 3x = 180
Subtract 45 from both sides to remove the 45 on the left
3x = 135
Then divide both sides by 3
x = 45
Answer is X = 45
Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

Solving for h:

Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
5.7y-5.2=y/2.5
Add 5.2 to both sides:
5.7y = y/2.5 + 5.2
y/2.5 = 0.4y
5.7y = 0.4y + 5.2
Subtract 0.4y from both sides:
5.3y = 5.2
Divide both sides by 5.3:
y = 5.2/5.3
y = 0.98113