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Alik [6]
3 years ago
13

What is the value of x in the figure below? In this diagram, △ABD~△CAD.

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

<u>Given</u>:

Given that the triangles ABD and CAD are similar.

The length of AB is 12.

The length of BD is x.

The length of AC is 27.

We need to determine the value of x.

<u>Value of x:</u>

Let us use the leg rule to determine the value of x.

Thus, we have;

\frac{BC}{AB}=\frac{AB}{BD}

Substituting the values, we get;

\frac{27}{12}=\frac{12}{x}

Cross multiplying, we get;

27x=12\times 12

27x=144

Dividing both sides by 27, we have;

x=\frac{16}{3}

Thus, the value of x is \frac{16}{3}

Hence, Option D is the correct answer.

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3 years ago
Given the equation A=250(1.1)t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose
Wewaii [24]

Answer:

=250(1.025)∧4t

Step-by-step explanation:

Using the compound interest formula we can find the expression for the total amount that accumulates in the given time t.

A=P(1+R/n)ⁿᵇ

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When compounded annually, the expression becomes

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When compounded quarterly, we introduce the n in our expression.

A=250(1+0.1/4)∧4t

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5 0
3 years ago
Read 2 more answers
A track and field playing area is in the shape of a rectangle with semicircles at each end . The perimeter of the track is to be
MAVERICK [17]
We can let the radius of the semi circles be r and x can be the length of the rectangle.
The perimeter will be Perimeter = 2x + 2pr = 1200
The area of the rectangle is Area = x(2r)
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Put this into the area equation and you get Area = (600 - pr)(2r)
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Dimensions

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Answer:

A:in order:24,2,12,2,3  in order:84,2,42,7,3  B:168

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Answer:

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Step-by-step explanation:

3 0
3 years ago
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