Answer:
x=18, 96-24=72, x+3x=72, 4x=72, x=18
Step-by-step explanation:
Answer:
yes, by SAS
Step-by-step explanation:
cause the GI and JL are congruent and the same for HG and LK
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V =
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h =
= 12
Area of square base = 10² = 100, hence
V =
× 100 × 12 = 4 × 100 = 400
Area is square units, so the new area would be the scale factor squared:
Scale factor is 2, so the area would increase by 2^2 = 4
The answer is B.4