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3 years ago

The rectangles in the figure below are similar. Find the value of x

Mathematics

2 answers:

lidiya [134]3 years ago

5 0

3/x = 5/(x+4)
5x = 3(x+4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 6

answer
C. 6

V125BC [204]3 years ago

3 0

Answer:

C. 6

Step-by-step explanation:

It is given that the rectangles in the figure are similar.

Thus, the corresponding sides of the two rectangles will be equal.

So, we get,

$\frac{3}{x}=\frac{5}{x+4}$

i.e. $3(x+4)=5x$

i.e. $3x+12=5x$

i.e. $2x=12$

i.e. x = 6.

Hence, the value of x is 6.

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3 years ago

Enter the equivalent distance in km in the box.

devlian [24]

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3 years ago

Tom is 45 and pays $2042 on his mortgage each month while his total take home pay is $5950 per month. The national average, for

Scrat [10]

Take the amount that he pays for his mortgage, so $2042, and divide that by his total pay, $5950. You’ll get .34016907. Then to make a decimal into a percentage, you multiply it by 100. This gives you 34%, meaning he spends less than the national average on housing.

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3 years ago

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know $x = 6$ & $kx = 7.2$

Substituting 6 for x in the equation $kx = 7.2$ , we get $6k = 7.2$ .

Dividing 6 on both sides $\frac{6k}{6}=\frac{7.2}{6}$

Simplifying fractions on both sides $k=1.2$

Point A from the diagram is (-3, 3)

x-coordinate of A' = $kx=1.2 * -3 = -3.6$

y-coordinate of A' = $ky =1.2*3=3.6$

Point A' is given by (-3.6, 3.6)

Conclusion:

Scale factor of dilation is 1.2

The coordinates of point A' is (-3.6, 3.6)

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4 years ago

Read 2 more answers

Which of the following has a value of 84? A. 512 B. 4,096 C. 32 D. 83

andreev551 [17]

Answer is B. 4,096

I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.

So 8⁴ is equal to 4,096.

8 x 8 x 8 x 8 = 4,096

8 x 8 = 64
64 x 8 = 512
512 x 8 = 4,096

6 0

3 years ago