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Ksenya-84 [330]
4 years ago
5

Polygon ABCDEFGH will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A′B′C′D′E

′F′G′H′. What will the length of be?
Mathematics
1 answer:
Romashka [77]4 years ago
3 0
What are the answer choices?
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If FH = 9x + 15 and GH = 5x + 4,<br> then FG = ?
Tatiana [17]

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

4 0
3 years ago
What is the missing number?<br><br> –3.4 + (–8 + 2) = [ _ + (–8)] + 2
Kisachek [45]
-3.4 + (-8 + 2) = ( _ + (-8) + 2)
-3.4 + (-6) = ( _ + (-8) + 2)
-9.4 = ( _ + (-8) + 2)
-9.4 = ( _ + -6)
Now remember whatever you do to one side you have to do to the other. :)
-9.4 - -6 = -6 - -6
= -3.4
You had to do one side of the equation before you could do the other side because you needed an answer to follow. 
4 0
3 years ago
Read 2 more answers
Please also solve this
Virty [35]

Answer:

56 HAHHHAH K.HFGIUWFV,

Step-by-step explanation:

3 0
3 years ago
I need to know what 15 and 30 are in fraction form
gogolik [260]

just put it over each other or search it up. that’s what i do
3 0
4 years ago
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On expression that is equal to 5.1 - 5.9
Nastasia [14]

Answer: 10.2-11.8

Step-by-step explanation:

im guessing that the question is "write one expression that is equal to 5.1 - 5.9" i would make it simple as possible and double both numbers to get 10.2-11.8"

8 0
3 years ago
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