True
∠2 and ∠5 are both vertical at the vertex of the 2 straight lines
Answer:
35.6
Step-by-step explanation:
cos = adj/ hypt
cos (77) = 8/x
x = 8/cos (77) = 35.56
Let's say that the shorter piece is x and the longer piece is 5x (because it's 5 times as long). x+5x=72 and 6x=72. Dividing both sides by 6, we get that x=12, and 72-12=the length of the other piece (since there are only 2 pieces)=60
To determine how much of the wall is blue we first need to find its area. The wall is a rectangle, then its area is the product of its height and length:

Hence, the area of the wall is 140 square ft. To determine how much of the wall is already painted we multiply this by 1/2, then:

Therefore, 70 square ft are blue.
Answer: 8
Area of a triangle=(1/2)bh
16=(1/2)4x
16=2x
x=8