Darnell is trying to understand the Pythagorean Theorem by drawing a few triangles. He found that 1² + 1² = (√2)² is accurate. Which statement is true about Darnell’s triangle? A. The triangle is not a right triangle because the lengths of its sides measure the same.

B. The triangle is not a right triangle because the hypotenuse is shorter that the lengths of its sides.

C. The triangle is a right triangle, the lengths of its sides are 1 and √2 with a hypotenuse of 1.

D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.

PLEASE HELP ASAP

D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.

Step-by-step explanation:

The Pythagorean Theorem is modeled by a² + b² = c².

c represents the hypotenuse and a and b represent the other two sides.

The Pythagorean Theorem can only be applied to right triangles.

D.

Step-by-step explanation:

Srry if your question was already answered but im very sure its D.

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simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .