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dalvyx [7]
2 years ago
14

What is the length of HG?

Mathematics
1 answer:
Leviafan [203]2 years ago
6 0

Answer:

HG = 5

Step-by-step explanation:

Given

HE = 8mm

EF = 12mm

Area = 68mm^2

Find the length of HG

First, it should be noted that the displayed figure is a trapezium

<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>

In this case;

Area = \frac{HG + EF}{2} * HE

Substitute the values of Area, HE and EF

68 = \frac{HG + 12}{2} * 8

68 = (HG + 12) * 4

Divide both sides by 4

\frac{68}{4} = \frac{(HG + 12) * 4}{4}

17 = HG + 12

Subtract 12 from both sides

17 - 12 = HG + 12 - 12

5 = HG

HG = 5

<em>Hence, the length of HG is 5mm</em>

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The value of side length x is equal 6.05 in

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The perimeter of a square is given as the sum of the total sides in the square or 4 multiplied by the side length of the square since they all have equal sides.

Mathematically, this can be written as

P = 4 *L\\P = 4l\\

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In this given question, the side length is equal to x and the perimeter of the square is given as 24.2in.

Let's substitute the values

P = 4L\\24.2 = 4L\\but l = x\\24.2 = 4x\\x = 6.05in

The side length of the square is equal to 6.05in

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brainly.com/question/24487155

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complete question

Write and solve an equation to find the unknown side length x (in inches).

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8 0
1 year ago
Pam is taking a train from the town of Rome to the town of Florence. Rome is located 40 miles due west of the town of Paris. Flo
tankabanditka [31]

Answer:

Pan is closest to Paris when she gets to Florence when she is 35 miles away

Step-by-step explanation:

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The distance between the two points Florence and Paris is √(x2 - x1)^2 + (y2 - y1)^2

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x2 = -10, y2 = 55

So we have

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2 years ago
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Answer:

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The function f(x) = |x| represents all the positive and negative values for x and only the positive values for y.

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6 0
3 years ago
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Svet_ta [14]

Answer:

-60  im pretty sure this is it

                                 

8 0
3 years ago
What is the answer and work to 48+14
Zigmanuir [339]
  48
+14
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If you need more work:

Ones place: 8+4=12
Tens place: 40+10=50
Add up: 50+12=62
3 0
3 years ago
Read 2 more answers
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