Answer:
Creoqe eusta yeutue busbcaa alhy on
Step-by-step explanation:
Lines a and b are parallel, and line t is a transversal.
Notice that angles 2 and 7 are on the outside of the parallel lines, and they are on different sides of the transversal.
Angles 2 and 7 are alternate exterior angles.
The answer is (a) alternate exterior angles theorem.
It is by the "alternate exterior angles theorem" that angles 2 and 7 are congruent.
Answer:
w=-8
Step-by-step explanation:
2w+22=-6(w+7)
2w+22=-6w-42
8w+22=-42
8w=-64
w=-8
Therefore, w=-8
Answer:
9ft
Step-by-step explanation:
The top of a ladder is placed against the side of a house. The ladder is 15ft long and the wall is 12ft high. How far from the wall will the base of the ladder be positioned if the top of the ladder meets the top of the wall.
We solve this question using Pythagoras Theorem
c² = a² + b²
Height of the wall = Opposite side = b = 12ft
Length of the ladder = Hypotenuse = c = 15ft
Distance between the wall and the base of the Ladder = Adjacent = a
Hence:
15² = a² + 12²
a² = 15² - 12²
a = √15² - 12²
a = √81
a = 9 ft
Therefore, the wall will be 9ft from the base of the ladder , if the top of the ladder meets the top of the wall