Answer:116
Step-by-step explanation: 5x-2=4x+10
x=12
double the angle to get the arc
Answer:
n = 24
Step-by-step explanation:
(n + 18) and 2n are "complementary angles:" they add up to 90°.
Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.
Then 3n = 72. Dividing both sides by 3 results in n = 24.
n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.
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:
Point H does lie on the graph y = 4.6x - 7
Step-by-step explanation:
Step 1: Define
y = 4.6x - 7
H(0, -7)
Step 2: Substitute, Evaluate, and Check
-7 = 4.6(0) - 7
-7 = 0 - 7
-7 = -7
