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3 years ago

If ΔJKL~ΔMKN, find the value of x.

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

4 0

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

$\frac{KL}{KN}$ = $\frac{JL}{MN}$ , substitute values

$\frac{32}{12}$ = $\frac{3x-2}{x+1}$ ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

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There are 231 cubic inches in a gallon a large juice can has a diameter of 6 inches and a height of 10 inches. How many gallons

andrew-mc [135]

Answer: Juice Can can hold up to 1.22 gallon of Juice

Step-by-step explanation:

We are given that a large juice can has a diameter of 6 inches and has a height of 10 inches

we need to find how many gallons of juice does the can hold

Please see a "can" has a cylindrical figure

so here we can find the volume of juice that the given "can" holds using the formula for Volume of cylinder

Volume of cylinder is given by :

$V=\pi r^2h$

we know that height h = 10 inches , diameter d = 6 inches so radius would be r = 6/2 = 3 inches

now plugging the value of h = 10 and r = 3 in the formula for volume of cylinder , we get:

$V=\pi (3)^2(10)$

$V=\pi (9)(10)$

so V=282.74 cubic inches

Now we need to find the volume in terms of gallon

so we will convert 282.74 cubic inches to gallon

Known fact :

231 cubic inches = 1 gallon

so , 1 cubic inches = 1/231 gallon

and 282.74 cubic inches = (1/231)*(282.74) gallon

Hence, Volume in gallons = 1.22 gallon

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4 years ago

4. What is the value of the underlined digit?

Arisa [49]

Answer:

hundreth, because it is the second digit after the decimal point.

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3 years ago

Given that 1 millimeter = 1/1000 meters, 2 500 millimeters in meters is?

lana [24]

Answer:

2.5

Step-by-step explanation:

You can do this in an easier way than you may be thinking. You know that 1/000 is 1 mm, therefore to get 2,500, you multiply it by 2.5.

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2 years ago

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s344n2d4d5 [400]

Divide total time by total miles:

65 / 7 = 9.29 minutes per mile

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3 years ago

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Sonja [21]

Answer:

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4 years ago