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Shtirlitz [24]
3 years ago
9

One angle is 25° bigger than another angle. the two angles are supplementary. what is the measure of the two angles

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0
1st angle  - x⁰
2nd angle - (x+25)⁰
The angles are supplementary,
so
x+x+25=180
2x=155
x=77.5⁰ -1st angle

77.5+25=102.5⁰ - 2nd angle


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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

Find the equation of the circle

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

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

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3 years ago
Simplify (2 {sqrt 5}+ 3 {sqrt 7})^2. Show your work. Justify each step.
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It would be the third one hope i helped

Step-by-step explanation:

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If you could help me on all of them you a live saver
PtichkaEL [24]

Answer:

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(1.39)BUC = { 1,2,3,4,5,6}

(1.40) { 2,4 }

(1.41) { 1,3,5 }

(1.42) { phi }

(1.43) AU(BUC) = { 1,2,3,4,5,6 }

(1.44) { phi }

(1.45) {1,2,3,4,5}

(1.46) { 1,2,3,4,5 }

\huge\underline\red{Hope\:that\:helps}

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Add K to both sides to get U×K=X
and
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