If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m of angle SQR =4x+15,find m of angle PQT

1 answer:

8 0

"Bisect" is a mathematical term which means to divide into two equal parts. We can bisect angles, lines, and more. The line that divides is called the "bisector".
sample problem:

 If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m of angle SQR =4x+15,find m of angle PQT.

Since it is mentioned that ray QS bisects the angle PQR, it is understood that the m of angle of PQT is 4x+15. It is because as metioned earlier, to bisect angles or lines, it means dividing into 2 equal parts, thus, bisect equal measurements of angles.

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Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

Original Equation :
$\sqrt{x} - 5 = x - 11$

New Equation {Added 5 to Both Sides} :
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Now we must square both sides of the equation.

Old Equation :
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New Equation {Changed by Squaring Both Sides} :
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And now we must solve the new equation.

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Step 2 - Subtract x from both sides
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Step 3 - Simplify
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Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

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$\frac{13+ \sqrt{25}}{2}$

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$\frac{13+5}{2}$

$\frac{18}{2}$

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