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valina [46]
3 years ago
8

2. If GFE~GJH, find the value of FG. ​

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

  • 77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

<u>Use ratios to find the value of x:</u>

  • (4x - 5)/(x + 7) = 35/12.5
  • (4x - 5)/(x + 7) = 14/5
  • 5(4x - 5) = 14(x + 7)
  • 20x - 25 = 14x + 98
  • 20x - 14x = 98 + 25
  • 6x = 123
  • x = 123/6
  • x = 20.5

<u>Find the value of FG:</u>

  • FG = 4*20.5 - 5 = 77

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The perimeter of a rectangle is 128 inches.
Anuta_ua [19.1K]

Considering the perimeter of the rectangle, we have that the length is of 9 inches and the width is of 55 inches.

<h3>What is the perimeter of a rectangle?</h3>

The perimeter of a rectangle of length l and width w is given as follows:

P = 2(l + w).

The length is an odd integer and the width is <u>5 times the next consecutive odd integer,</u> hence:

l = x, w = 5(x + 2).

The perimeter is of 128 inches, hence:

128 = 2l + 2w

128 = 2x + 10(x + 2)

128 = 2x + 10x + 20

12x = 108

x = 9.

Hence the length is of 9 inches and the width is of 55 inches.

More can be learned about the perimeter of a rectangle at brainly.com/question/10489198

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6 0
2 years ago
2.34 x 10^65   + 9.2 x10^66  
vivado [14]

Answer:

9.434 X 10^66

Step-by-step explanation:

2.34 X 10^65  +  9.2 X 10^66    (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)

We can say that 2.34 X 10^65 = 0.234 X 10^66

Now that the indexes are equivalent, we can proceed to add the two bases together.

0.234 X 10^66  +  9.2 X 10^66

= (0.234  +  9.2) X 10^66

= 9.434 X 10^66

3 0
3 years ago
The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the ro
Yuki888 [10]

Answer:

[ext]T(x) = 2C / Speed[/ext]

Step-by-step explanation:

[ext]Time taken for the Ranger to get to the car = Sum total time taken to travel in the forest and on the road[/ext]

Since [ext]distance of the Ranger to the car = C[/ext]

[ext]Time taken = distance/speed[/ext]

[ext]Total Time taken T(x) = 2 * C / speed[/ext]

T(x) = 2C / speed

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3 years ago
1+12 ddddddddddddddddddddddddddddddddddddddddddddddddddddd
Alex73 [517]

Answer:

13

Step-by-step explanation:

count on your fingers

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3 years ago
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42.5 * 20 = 850

So she earns $850 per week.

Mallory saves half of that amount she would have $425 per week.

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