The 2 angles given are vertical angles , which mean they equal the same.
Set the 2 equations to equal each other and solve for x:
7x-26 = 5x +10
Add 26 to each side:
7x = 5x + 36
Subtract 5x from each side:
2x = 36
Divide both sides by 2:
X = 36/2
X = 18
I’m not so sure I fully understand the question. But I would say the rate is 1.
I say this because the line on your graph is a y=mx+b equation.
For every unit it moves over on the X axis it moves the same unit on the Y axis.
I hope this helps.
Answer:
10
Step-by-step explanation:
if the shadows are half of each other then the building is going to be half of the tree
Answer: See below
Explanation:
6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
Answer:
11. ∠ABC = 96°
12. (x – 2)² + (y + 3)² = 4
Step-by-step explanation:
11. The inscribe angle (the angle inside the circle, ∠ABC) is equal to half of the outer circle.
∠ABC = 1/2∠AC
∠ABC = 1/2(192°) = 96°
12. The general equation for a circle is: (x – h)² + (y – k)² = r², where
h and k are the center of the circle (h, k), and r is the radius.
Look at the graph, the circle is centered at (2, -3), so
h=2
k=-3
and the radius of the circle is 2, so
r=2
Plug it all back into the equation:
(x – h)² + (y – k)² = r²
(x – (2))² + (y – (-3))² = (2)²
(x – 2)² + (y + 3)² = 4
