Answer:
The first one would be corresponding angles postulate and the second one is linear pair postulate.
Step-by-step explanation:
Answer:
x = 45
Step-by-step explanation:
Corresponding sides of similar triangles will be in same ratio.
Cross multiply
x*28 = 20*(x+18) {Use distributive method}
28x = 20x + 360
28x - 20x = 360
8x = 360
x = 360/8
x = 45
24 * 3/4 = 18
The radius of smaller cone is 3/4 the radius of original cone, so since these cones are similar, height must also be 3/4 times smaller.
So since radius is squared and we also multiple the height (V = 1/3 π r² h),
the volume of smaller cone would be 3³ / 4³ = 27 / 64 times smaller
So we have 1920 * (27 / 64) = 810.
Final answer: B