Answer:
C. 5
Step-by-step explanation:
Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:
distance formula:
d = √(x2 - x1)^2 + (y2 - y1)^2
d = √(2 - 2)^2 + (-1 - 4)^2
d = √(0)^2 + (-5)^2
d = √0 + 25
d = √25
d = 5
Given that the figures are similar polygons, the ratio of their ratios should be equal to the square of the ratio of their circumference. If we let x be the lateral area of the smaller cylinder then,
(x/210π) = (24π/60π)²
The value of x from the equation is,
x = 33.6π
Thus, the area of the smaller cylinder is equal to 33.6π mm².
Answer:
<em>B. 86 degrees</em>
Step-by-step explanation:
Given the following angles:
m∠NOQ = 110
m∠NOP = 24
Using the addition postulate:
m∠NOQ = m∠NOP + m∠POQ
110 = 24 + m∠POQ
m∠POQ = 110 - 24
m∠POQ = 86
<em>Hence the measure of m∠POQ is 86 degrees</em>
