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Arada [10]
3 years ago
13

If the triangles in the figure are similar what is the length of side b?

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

A 36

Step-by-step explanation:

We can determine the scale factor

From triangle ABC BC =9

                     DEF  EF = 90

We multiply by 10

The scale factor is 10

AC ( 10) = DF

We know DF = 360

b  * 10 = 360

Divide each side by 10

10b/10 = 360/10

b = 36

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3 years ago
I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
Valentin [98]

Given:

In a number, adding 1\dfrac{3}{4}, then multiplying the result by 2\dfrac{2}{11} we get 8.

To find:

The unknown number.

Solution:

Let the unknown number be x.

According to the question,

(x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8

(x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8

(x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8

(x+\dfrac{7}{4})\times \dfrac{24}{11}=8

Multiply both sides by \dfrac{11}{24}.

x+\dfrac{7}{4}=8\times \dfrac{11}{24}

x+\dfrac{7}{4}=\dfrac{11}{3}

Subtract \dfrac{7}{4} from both sides.

x=\dfrac{11}{3}-\dfrac{7}{4}

x=\dfrac{44-21}{12}

x=\dfrac{23}{12}

x=1\dfrac{11}{12}

Therefore, the required number is 1\dfrac{11}{12}.

3 0
3 years ago
At Alan's auto shop, it takes him minutes to do an oil change and minutes to do a tire change. Let be the number of oil changes
kirill [66]

Complete question :

At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).

Answer:

9x + 12y < 120

Step-by-step explanation:

Given that:

Time taken for oil change = 9 minutes

Time taken for tire change = 12 minutes

x = number of oil changes ; y = number of tire changes

Total hours = 1 hour = 60 minutes

Number of oil and Tyre changes possible in less than an hour

(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes

9x + 12y < 120

8 0
3 years ago
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The first one is B and the second is D
3 0
4 years ago
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What is the volume of this cube?
jolli1 [7]

Answer:

v=a3

Step-by-step explanation:

the internet told me

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2 years ago
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