Answer:
45°, 54°, 81°
Step-by-step explanation:
5x+6x+9x=20x
20x --> 180
x --> 9
for each angle :
5x --> 45°
6x --> 54°
9x --> 81°
Let x be the percentage change.
972x = 1150
x = 1.18 = 118%
Prime factors of 4,725 are 3, 5 and 7
Answer:
x = 5 and z = 108
Step-by-step explanation:
We have two intersection lines and since z and 108 lie opposite each other, they are called vertical angles. By definition, vertical angles are congruent to each other, so that means z = 108.
Now, notice that z and 6x + 42 lie on the same line. A line has a measure of 180 degrees, which means that these two will add up to 180 (they are supplementary angles). Then we can write:
z + (6x + 42) = 180
We already know that z = 108, so plug that in and solve for x:
108 + (6x + 42) = 180
6x + 150 = 180
6x = 30
x = 5
Thus, x = 5 and z = 108.