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Charra [1.4K]
3 years ago
14

Solve for x, the triangles are similar

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

\frac{ES}{EG} = \frac{ER}{EF} , substitute values

\frac{45}{12x-3} = \frac{55}{143} ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

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a line has a slope of -2 and passes through the point (-1,4).what is its equation in slope intercept form?​
Nat2105 [25]

Answer:

y=-2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-2(x-(-1))

y-4=-2(x+1)

y-4=-2x-2

y=-2x-2+4

y=-2x+2

5 0
3 years ago
I NEED HELP ASAP PLEASEEE !!!!!
Volgvan

Answer:

3

Step-by-step explanation:

Using Pythagorean Theorem, 3² + 4² = 5²

8 0
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What is the value of the expression below when z = 2?<br> 5z^2+3z+7
Marina CMI [18]

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Hope this helps!

6 0
3 years ago
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

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Dividing by 2.5 m², we find x to be ...

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The dimension labeled x has length 5 meters.

6 0
1 year ago
What is 9713 rounded to the place value
Akimi4 [234]
It could be 10000,9800,or 9710
6 0
3 years ago
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