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Mashcka
3 months ago
8

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
Mathematics
1 answer:
babunello [11.8K]3 months ago
7 0

Answer:

A is TRUE (44 in² * 2 = 88 in²).

B is FALSE because x(x-3) = 88 for the rectangle or x(x-3)/2 = 44 for the triangle.

C is TRUE if x(x-3) = 88 leads to x² - 3x - 88 = 0.

D is TRUE:

x² - 3x - 88 = 0.

Δ = 9 + 4 * 88 = 361 = 19².

Thus, x = 11 or x = -8 (we discard negative values).

E is FALSE as 11 * 4 ≠ 88.

Step-by-step explanation:

Please correct me if I'm mistaken.

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