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Genrish500 [490]
3 years ago
5

Angle PSR measures 99°. Point S has three lines extending from it. One line extends to point P, another to point Q, and the othe

r to point R. Angle P S Q is (3 x + 18) degrees. Angle Q S R is (9 x minus 27) degrees. What is the measure of AnglePSQ in degrees? 9° 24° 45° 54°
Mathematics
2 answers:
liberstina [14]3 years ago
4 0

Answer:

45 degree

Step-by-step explanation:

We are given that

Angle PSR=99 degrees

Angle PSQ=(3x+18) degrees

Angle QSR=(9x-27)degrees

According to question

Angle PSR=Angle PSQ+angle QSR

Substitute the values

99=3x+18+9x-27

12x-9=99

12x=99+9=108

x=\frac{108}{12}=9

Substitute the value of x

Angle PSQ=(3(9)+18)=45^{\circ}

Hence, the measure of angle PSQ=45 degree

Keith_Richards [23]3 years ago
3 0

Answer:

C)45 degrees on the test in edge

Step-by-step explanation:

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<h3>2nd Graph</h3>

Step-by-step explanation:

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3 years ago
The sum of squares of three consecutive numbers is 77 find the numbers​
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Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

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∴by the problem ,

x^{2} +(x+1)^{2}+(x+2)^{2}  = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\

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x^{2} +2x- 24 = 0\\

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d) F2 = -F1.

Step-by-step explanation:

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