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Grace [21]
3 years ago
6

If the compound ratio of 7:5 and 8:x is 83:60 then find X​

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Note: Consider 84 instead of 83 because the value of x is a decimal value of 83 which is not possible.

Given:

Compound ratio of 7:5 and 8:x is 84:60.

To find:

The value of x.

Solution:

Compound ratio of 7:5 and 8:x is 84:60.

\dfrac{7}{5}\times \dfrac{8}{x}=\dfrac{84}{60}

\dfrac{7\tims 8}{5\times x}=\dfrac{84}{60}

\dfrac{56}{5x}=\dfrac{84}{60}

By cross multiplication, we get

56\times 60=84\times 5x

3360=420x

Divide both sides by 1420.

\dfrac{3360}{420}=x

8=x

Therefore, the value of x is 8.

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Figure
ludmilkaskok [199]

Answer:

  • a rotation, followed by a translation
  • a translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

  • Reflections : Flips a figure across a line of reflection.
  • Rotations : Rotates a figure about some degrees around a center point.
  • Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

  • a rotation, followed by a translation
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5 0
3 years ago
Which set of integers is a Pythagorean triple?
Vsevolod [243]

Answer:

5,12,13

Step-by-step explanation:

4 0
3 years ago
What is the perimeter
loris [4]

Answer:

81

Step-by-step explanation:

Add all of the together to find how much they all equal. 27x3 = 81

4 0
2 years ago
Read 2 more answers
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Dominik [7]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de
solniwko [45]

Answer:

To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Step-by-step explanation:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray

1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. The paint will not fill the tray by 44.59 in³

6 0
2 years ago
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