Use the figure to the right to find the value of PT. T is the midpoint of PQ. PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

Divide both sides by -2

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

3 ft

step-by-step explanation:

since the triangle is right use pythagoras' identity to solve for a

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

a² + 8² = ( )²

a² + 64 = 73 ( subtract 64 from both sides )

a² = 9 ( take the square root of both sides )

a = = 3

by definition, an arc subtended by a central angle of some given measure has the same measure. so .