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3 years ago

If FH = 9x + 15 and GH = 5x + 4, then FG = ?

Mathematics

1 answer:

Tatiana [17]3 years ago

4 0

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

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1 year ago

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Answer:

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Step-by-step explanation:

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2 years ago

If k = -3 what is the value of k + (2k - 10) ? A. –19 B. –7 C. 1 D. –14

gladu [14]

Answer:

Step-by-step explanation:

We have the expression $k+(2k-10)$

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3 years ago

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Mashcka [7]

Answer:

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Step-by-step explanation:

To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.

Area of square = s² where s = side length

It appears the given side length is 12 so s = 12

Which means area = 12² = 144ft²

For semi circle

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The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12

To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6

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==> multiply 18 and π

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