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olga2289 [7]
3 years ago
12

Please help!!! Use an algebraic equation to solve the problem. The sides of a triangle are in the ratio 3 : 4 : 5. What is the l

ength of each side if the perimeter of the triangle is 90 cm?
A. 22.5 cm, 30 cm, and 37.5 cm
B. 7.5 cm, 11.5 cm, and 32.1 cm
C. 10.5 cm, 11.5 cm, and 12.5 cm
D. 19.3 cm, 25.7 cm, and 32.1 cm
Mathematics
2 answers:
azamat3 years ago
4 0
3:4:5.....added = 12

3/12(90) = 270/12 = 22.5
4/12(90) = 360/12 = 30
5/12(90) = 450/12 = 37.5

looks like it is gonna be A
Effectus [21]3 years ago
3 0

Answer:

A. 22.5 cm, 30 cm and 37.5 cm

Step-by-step explanation:

To find the perimeter of a triangle, all the sides are added together:

A + B + C = Perimeter

Knowing the ratio of the sides, all the sides can be multiplied by a common factor, for the ratio to stay the same. Adding up these factors, setting it equal to a perimeter of 90, and solving:

3x + 4x +5x = 90

12x = 90

x = 7.5 cm

Side Lengths

  • 3 * 7.5 = 22.5 cm
  • 4 * 7.5 = 30 cm
  • 5 * 7.5 = 37.5 cm
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Answer:

 

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First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides.

 

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Answer

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Step-by-step explanation:

8 0
3 years ago
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K is the midpoint of PQ, P has
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Answer:

Coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  (x_2,y_2)

We will use the formula of midpoint: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We are given midpoint K and x_1,y_1 the coordinates of P we need to find x_2,y_2 the coordinates of Q.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\

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Option D is correct option.

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