Answer: 18
Step-by-step explanation: Angles opposite of each other in a trapezoid equal 180 minus each other so 180 - 105 = 75 so 75 = 4y + 3
Subtract 3 from both sides
72 = 4y
Divide by 4
y = 18
Given:
To find:
The 
.
Solution:
In circle B, 
is central angle and 
is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[Central angle theorem]
Divide both sides by 2.
Therefore, 
.
Answer:
x = 100
Step-by-step explanation:
Both angles are equivalent. 150-50=100. There's your answer! :)
The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore, to solve this problem you have to follow the proccedure shown below.
1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:
15x</span>²-3x+25x-5
2. Then, you have:
15x²+22x-5
3. As you can see, the correct answer is the last option: 15x²+22x-5
