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Anestetic [448]

4 years ago

9

Given: HF || JK; HG ≅ JG

2 answers:

rusak2 [61]4 years ago

6 0

A. FGH ≅ KGJ because vertical angles are congruent

I JUST TOOK THE TEST!!!!

Naily [24]4 years ago

4 0

The answer is A. <span>FGH ≅ KGJ because vertical angles are congruent.

This is correct because according to the verticle angle theorem i</span><span>f two </span>angles<span> are </span>vertical angles<span>, then they are congruent.

Sorry that this answer is very late, but hope it helps!</span>

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What is the place of the 9 in the number 5,948,003

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School starts in 45 minutes and you live 13 miles from school. What average speed (in miles per hour) would allow you to arrive

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Can anybody tell me what is the answer to -2/5 - (-1/10)

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2 years ago

The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and

sergejj [24]

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130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

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5 0

3 years ago

Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0

3 years ago