Answer:
c 4.1 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
The sector is only 78 degrees
Take the fraction of a circle and multiply by the circumference to find the length x
x = C* 78/360
= 2 * pi *r * 78/360
= 2 * pi *3 * 78/360
Using 3.14 for pi
= 4.082
Rounding to the nearest tenth
x = 4.1 inches
ANSWER
A. 1/9
EXPLANATION
When we have an expression with a negative exponent we can solve it by "flipping" the fraction and solving with the positive exponent:

In this problem we have to find:

We can think of a whole number as a fraction whose denominator is 1:

So we can use the trick:

And solve:
Answer:
they are supplementary
Step-by-step explanation:
-35v - 56
Hope this helps! :))
Answer:
37 degrees
Step-by-step explanation:
1. m∠CBA = 71+45 = 116 degrees
2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.
3. m∠CBA + m∠CDA = 2*116 = 232.
4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.
5. m∠BAD = m∠BCD = 128/2 = 64 degrees
6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees