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weeeeeb [17]
3 years ago
7

is tangent to circle P at point Q. Circle P is shown. Line segment P Q is a radius. Line segment Q R is a tangent that intersect

s the circle at point Q. A line is drawn from point R to point P and goes through a point on the circle. Angle Q P R is 53 degrees. What is the measure of angle R? 37° 53° 90° 97°
Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

Answer:37

Step-by-step explanation:

Anna11 [10]3 years ago
3 0

Answer:

m\angle R=37^o

Step-by-step explanation:

we know that

If Line segment Q R is a tangent to circle P at point Q

then

Line segment QR is perpendicular to line segment PQ (radius) and PQR is a right triangle

so

m\angle QPR+m\angle R=90^o ---> by complementary angles in a right triangle

substitute the given value

53^o+m\angle R=90^o

m\angle R=90^o-53^o=37^o

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5x 2y = 7 y = x 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}.
OLEGan [10]

The correct option is A, which is {(5/7, 12/7)}.

<h2>Given to us,</h2>

equation 1, 5x + 2y = 7,

equation 2, y = x+1

To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of  y in equation 1,

5x + 2y = 7

<h3>substituting,</h3>

5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}

Now, we have the value of x, substitute the value in equation 2, to get y,

y=x+1\\y=(\frac{5}{7})+1\\

Taking LCM,

y=\frac{5+(1\times 7)}{7}  \\y= \dfrac{12}{7}

Hence, the correct option is A, which is {(5/7, 12/7)}.

To know more visit:

brainly.com/question/2263981

4 0
2 years ago
What is the solution for 5x^2-x+6=0
kati45 [8]

The easiest way to solve this problem is by using the Pythagorean theorem :D

Pythagorean theorem: [-b +- sqrt(b^2 - 4ac)]/2a

5 = a

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therefore, by plugging these values in!

[-(-1) +- sqrt((-1)^2 - 4(5)(6))]/2(5)

[1 +- sqrt(1 - 120)]/10

Oh so we're using imaginary numbers, so in this case you'll need to know that i = sqrt(-1), so keep this in mind (I can see why this was so difficult)

[1 +- sqrt(119)*i]10

answers:

( 1 + i*sqrt(119) ) / 10

( 1 - i*sqrt(119) ) / 10

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<span>\[(2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})\]</span>
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Answer:

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Step-by-step explanation:

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