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Hi there!

53)

The altitude of a triangle is always perpendicular to the base, therefore:

5x° must equal 90°.

Solve for x:

5x = 90

5x / 5 = 90 / 5   ----> x = 18

KL is equal to  2x - 5, so plug the value of x into the equation:

KL = 2(18) - 5

KL = 36 - 5   ---> KL = 31

54)

A median bisects the base, therefore:

AD ≅ DC

Set both equations equal to each other:

3x = 2x + 1

Subtract 2x from both sides:

x = 1

Plug in the value of x into the equation for DC:

2(1) + 1 = 3.

DC = 3.

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.