Answer:
x = 9
Step-by-step explanation:
The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.
Therefore, based on the exterior angle theorem of a triangle, we have the following equation:
2(7x + 2)° = (17x - 23)
14x + 4 = 17x - 23
Collect like terms
14x - 17x = -4 - 23
-3x = -27
Divide both sides by -3
-3x/-3 = -27/-3
x = 9
Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as

substituting our given data we have

step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as

substituting our given data we have

Answer: B
Step-by-step explanation:
S = An/1 - r
A1 = 6
6/1 - (-1/4)
6/1 + (1/4)
6/1.25
S = 4.8 or 24/5
1st quadrant is the answer