Question

Which of the following statements is INCORRECT? please help me this assignment is overdue

Answer 1

Answer:

B. DE = 58

Step-by-step explanation:

The base angles (<F and <E) of the ∆DEF are congruent/equal. This means that ∆DEF is an isosceles triangle.

This implies that, the two sides (DF and DE) that are opposite to the base angles are congruent/equal.

DE = 40 (given) => option B is INCORRECT

Therefore:

8x - 24 = 40

Solve for x

8x - 24 + 24 = 40 + 24

8x = 64

8x/8 = 64/8

x = 8 (option C is CORRECT)

Let's find DF and FE:

DF = 8x - 24

Plug in the value of x

DF = 8(8) - 24

DF = 64 - 24

DF = 40 (Option D is CORRECT)

FE = 6x + 10

FE = 6(8) + 10

FE = 48 + 10

FE = 58 (Option A is CORRECT)

The only incorrect statement is:

B. DE = 58