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gavmur [86]
2 years ago
12

For the pair of similar triangles, find the value of x.

Mathematics
1 answer:
faltersainse [42]2 years ago
8 0

Answer: x=26

Step-by-step explanation:

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Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet,
MatroZZZ [7]

The two quadrilaterals are given similar .

In any similar figure sides are in proportion.The second largest side of quadrilateral ABCD is 16 ft .Let the second longest side of quadrilateral EFGH be x ft. These sides will be in proportion to each other .

The second shortest side of quadrilateral EFGH that is GF will be proportional to the third longest side of quadrilateral ABCD that is BC

We can form a proportion with the proportional sides:

\frac{16}{x} =\frac{12}{18}

To solve for x we cross multiply

12x=(16)(18)

12x=288

Dividing both sides by 12 we get

x=24.

The second longest side of quadrilateral EFGH is 24 ft.

6 0
3 years ago
A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved
Dmitriy789 [7]
The ladder is 9.5 feet
8 0
2 years ago
What is the value of x?
Fittoniya [83]

Answer:

a

Step-by-step explanation:

6^2+8^2=100

sqrt of 100 = 10

4 0
3 years ago
Read 2 more answers
Find the HCF of 960 and 432​
sdas [7]

Answer:

48

Step-by-step explanation:

Using Uclid's division algorithm, the HCF of 960 and 432 can be obtained as follows:

Here, 960 is greater and 432 is smaller. We divide 960 by 432.

STEP 1:

960 = 432*2 + 96

STEP 2:

Divide divisor (432) by remainder (96)

432 = 96 * 4 + 48

STEP 3:

Divide divisor (96) by remainder (48)

96 = 48 * 2 + 0

Since, remainder at this step is zero (0), so the HCF would be the divisor of this step which is 48.

Thus, HCF of 960 and 432 is 48

4 0
2 years ago
Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?
Vesna [10]

9514 1404 393

Answer:

  25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

  pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

  pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

6 0
3 years ago
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