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3 years ago

If ABC and EDC are similar, what is the value of x? A

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

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1 year ago

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Answer:

A, B, and C

Step-by-step explanation:

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3 years ago

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter

maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

$\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}$

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$\text{Probability that dart lands inside the triangle}=0.25$

Convert into percentage:

$0.25\times 100\%=25\%$

Therefore, the probability that dart lands inside the triangle is 25%.

7 0

3 years ago

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Step-by-step explanation:

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