Answer:
Step-by-step explanation:
D. 18 1/5 +22 2/5 +40 1/5
-(-22 2/5) and -(-40 1/5) -----> -*- will become +
8x7x6 = 336. There are 8 possible options for slot 1, then 7 for 2, and 6 for the last slot.
A semicircle's perimeter is half the perimeter of the complete circle.
The perimeter of the complete circle is its circumference which is found by the equation: πD.
Then the equation of the perimeter of the semicircle is πD/2
In this case D = 24 in, then the perimeteir is π (24in/2) = 12π in ≈ 37.7 in
Answer: The exact length is 12π inches and the approximate length is 37.7 inches
Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
