The answer is 46°.
The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc.
That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.
Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.
Therefore it's 46.
Answer:
25
Step-by-step explanation:
180-90-65 = 25
Opposite angles are same
Answer:
Length = 11.25 and width = 3.75 inches.
Step-by-step explanation:
You must mean that the length is 3 times its width.
If the the width is x then the length is 3x inches.
Perimeter = 2*length + 2*width.
2(3x) + 2x = 30
6x + 2x = 30
8x = 30
x = 3.75.
3x = 11.25.
N + d = 20....n = 20 - d
0.05n + 0.10d = 1.35
0.05(20 - d) + 0.10n = 1.35
1 - 0.05d + 0.10d = 1.35
-0.05d + 0.10d = 1.35 - 1
0.05d = 0.35
d = 0.35/0.05
d = 7 <==== 7 dimes
n + d = 20
n + 7 = 20
n = 20 - 7
n = 13 <=== 13 nickels
