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Sveta_85 [38]
2 years ago
9

The two triangles are similar. What is the value of x? Enter your answer in the box. X=

Mathematics
1 answer:
fomenos2 years ago
8 0

Answer:

Step-by-step explanation:

In similar triangles, the corresponding sides are in same proportion.

\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}

Cross multiply,

4x*12 = 15*(3x + 1)

48x    = 15*3x + 15*1

48x    = 45x + 15

48x -45x = 15

          3x = 15

           x = 15/3

x = 5

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The figure below shows a shaded rectangular region inside a large rectangle:
SSSSS [86.1K]

Answer:

Step-by-step explanation:

The formula for determining the length of a rectangle is expressed as

Area = length × width

The large rectangle has a length of 10 units and width 5 units. The area of the large rectangle would be

10 × 5 = 50 units²

Inside this rectangle is a smaller rectangle of length 4 units and width 2 units. The area of the smaller rectangle would be

4 × 2 = 8 units²

Probability is expressed as favorable outcome/total number of possible outcomes

The region that is not shaded grey is

50 - 8 = 42 units²

The probability that a point chosen inside the large rectangle is not in the shaded region is

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Converting to percentage, it becomes

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5 0
3 years ago
Write and solve a system of linear equations: The larger of two numbers is 18 more than 5 times the smaller. If 3 times the larg
marshall27 [118]

Answer:

8 and -2

Step-by-step explanation:

Let the numbers be l and s.

We have equations:

l = 5s + 18

3l + 4s = 16

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15s + 54 + 4s = 16

19s = 16 - 54

19s = -38

s = -38/19

s = -2

Find the value of l:

l = 5(-2) + 18

l = -10 + 18

l = 8

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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