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horsena [70]
3 years ago
12

Help on math queston please explain all steps and include answer

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0
Similar triangles have their corresponding sides in the same ratio. So we have

x/8 = 9/5

cross multiply
5*x = 8 * 9

5x = 72

now divide both sides by 5:-

x = 72/5 = 14.4   Answer
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Isaac's dad built a shelf for his video games that is 42inches wide. Each video game is 6/8inches wide. How many video games can
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Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

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A triangular section of land is fenced off due to contamination. Two sides of the triangle are each 16 meters ( 16m) longer than
Sphinxa [80]

Answer: the shortest side is 30m

Step-by-step explanation:

Let the shortest side be a meters

If side 2 is 16m longer than the shortest side, then it is (16+a)meters.

The same goes with side 3.

Then,

a + (16+a) + (16+a) = 122m

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Collecting like terms together,

3a = 122 - 32

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Divide by coefficient of a

3a/3 = 90/3

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Check:

30 + (16+30) + (16+30)

30 + 46 + 46 = 112

8 0
4 years ago
Read 2 more answers
How many tiles of 10cm by a 6cm will be needed to pave a rectangular path of 5m by 3m
kherson [118]

Answer:

2500 tiles

Step-by-step explanation:

convert the path to the same units, one m = 100 cm

path= 500 cm x 300 cm

path area = 150,000 cm^2

each tile = 10x6 = 60 cm^2

150,000/60 = 2500 tiles

6 0
3 years ago
What is the standard form of the equation of the circle x^2 - 2x + y^2 - 8y + 8 = 0?
lesantik [10]

Answer:

Step-by-step explanation:

Begin by grouping the x terms and the y terms together and separating the constants out.

(x^2-2x)+(y^2-8y)=-8

Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:

(x^2-2x+1)+(y^2-8x+16)=-8+1+16

Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:

(x-1)^2+(y-4)^2=9

This is a circle with a center of (1, 4) and a radius of 3.

4 0
3 years ago
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