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2 years ago

Are the following figures similar?

Mathematics

1 answer:

adelina 88 [10]2 years ago

4 0

C) yes the corresponding angles are congruent

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X2 - 6x + 12 and y = 2x - 4, algebraically are

olga_2 [115]

The solution is (4, 4)

Solution:

Given system of equations are:

$y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2$

Substitute eqn 2 in eqn 1

$x^2 - 6x + 12 = 2x - 4$

Make the right side of equation 0

$x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0$

Solve by quadratic equation

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4$

Substitute x = 4 in eqn 2

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

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2 years ago

How many servings in 3/4 of a cookie when each serving is 1/2 cookie

pishuonlain [190]

1 1/2 servings are in 3/4 bc 2/4= 1/2 and theres 1/2 a cookie left and if u take half of that it gets to 3/4

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2 years ago

Solve each system by elimination.

mixas84 [53]

For eliminating you need to have a variable that cancels the other out and in this case 2x and -2x do. Then you want to take -3y+9y and add the numbers after the equal sign. -9+3

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2 years ago

Nadia charges $6.50 an hour for babysitting. She babysits 16.50 hours the first week of the month and 22 hours the second week o

Sveta_85 [38]

She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.

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2 years ago

Find the measure of the indicated angle to the nearest degree

Paha777 [63]

Answer:

Step-by-step explanation:

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