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Bad White [126]
3 years ago
11

Find the measure of HG¯¯¯¯¯¯¯¯. A. 12 B. 16 C. 14 D. 7

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

HG^2 = FG * (FG + EF)

Fill in the values:

(x+3)^2 = x * (7+x)

Simplify the right side:

(x+3)^2 = 7x +x^2

Rewrite the left side using the FOIL method

x^2 + 6x + 9 = 7x +x^2

Subtract x^2 from both sides:

6x +9 = 7x

Subtract 6x from both sides:

x = 9

Now you have x solve for HG

HG = x +3 = 9+3 = 12

The answer is A.

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horrorfan [7]
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8 0
3 years ago
Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?
Hoochie [10]

Answer:

parallelogram

Step-by-step explanation:

slope of DE = (4-7) / (-4 - 2) = 1/2

slope of FT = (-3 - -6) / (11-5) = 1/2

DE // FT

slope of EF = (-6 - 4) / (5 - -4) = - 10/9

slope of DT = (-3 - 7) / (11 - 2) = - 10/9

EF // DT

7 0
2 years ago
What is the Kinetic energy of a 2000 kg bus that is moving at 30m/s? <br><br> Explain please
agasfer [191]

There's a formula for that.

KE = (1/2)mv²

... = (1/2)(2000 kg)(30 m/s)²

... = 900,000 kg·m²/s²

... = 900,000 J

_____

It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.

1 J = 1 kg·m²/s²

4 0
3 years ago
Express the number 180 as the sum of four numbers that form a geometric
ale4655 [162]

Answer:

dadadddddddddddddddddddd

Step-by-step explanation:

ddasddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

6 0
2 years ago
Which statement describes the expression of 16 + 1/2 * 8 - 6
HACTEHA [7]
16 added to the product of 1/2 times 8, and then subtracted by 6.

16+4-6=20-6=14
4 0
3 years ago
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