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3 years ago

ABC is a straight angle. Find measure of ABX and measure of CBX

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

14x + 70 + 20x + 8 = 180
34x + 78 = 180
34x = 102
x = 3
ABX = 14(3) + 70 = 112
CBX = 180 - 112 = 68

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we know that

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step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

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step 2

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substitute the value of $x=1, y=11$ in the equation of the circle and then compare the results

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therefore

the ordered pair Q not lie on the circle

case B) $R(2,4)$

substitute the value of $x=2, y=4$ in the equation of the circle and then compare the results

$(2-6)^{2}+(4-1)^{2}=25$

$16+9=25$ ------> is true

therefore

the ordered pair R lie on the circle

case C) $S(4,-4)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(4-6)^{2}+(-4-1)^{2}=25$

$4+25=25$ ------> is not true

therefore

the ordered pair S not lie on the circle

case D) $T(9,-2)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(9-6)^{2}+(-2-1)^{2}=25$

$9+9=25$ ------> is not true

therefore

the ordered pair T not lie on the circle

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