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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

Svetllana [295]3 years ago

6 0

Answer:

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36) Cross multiply

9(3x + 36) = 81 (3x - 20) Remove the brackets.

27x + 324 +1620 = 243x Add 1620 to both sides

27x + 324 + 1620 = 243x Subtract 27x from both

1944 = 216x divide both sides by 216

x = 9

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

3x + 36 = 27x - 180

36 + 180 = 24x

216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

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The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame

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Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

${\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%$

${\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%$

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.

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To determine the number of trout in a lake, a conservationist catches 180 trout, tags them and throws them back into the lake.

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What is the equation of the circle that has a center at (-3, 1) and a radius of 5? A) (x + 3)2 + (y - 1)2 = 5 B) (x - 3)2 + (y +

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Step-by-step explanation:

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