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Charra [1.4K]
3 years ago
5

The isosceles triangle has a perimeter of 7.5 m.

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Answer:

Option d) 2.1 + 2x = 7.5

Step-by-step explanation:

An isosceles triangle is a triangle with two equal sides.

Perimeter of a triangle is some of all the 3 sides.

Let the equal sides be x

Let the third side be y

Therefore,

              Perimeter = x + x + y

                         7.5 = 2x + y    

                          7.5 = 2x + 2.1                    [ given shortest side, y = 2.1m ]

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Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a
earnstyle [38]

Ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

<em><u>Solution:</u></em>

Let "a" be the age of Alex

Let "g" be the age of George

Let "c" be the age of Carl

<em><u>Alex is 12 years older than George</u></em>

Therefore,

Age of Alex = 12 + Age of George

a = 12 + g

g = a - 12 ---- eqn 1

<em><u>Carl is Three times older than Alex</u></em>

Age of Carl = 3 x Age of Alex

c = 3a -------- eqn 2

<em><u>The sum of their ages is 68</u></em>

age of Alex + age of George + age of Carl = 68

a + g + c = 68 ----------- eqn 3

<em><u>Substitute eqn 1 and eqn 2 in eqn 3</u></em>

a + a - 12 + 3a = 68

5a - 12 = 68

5a = 12 + 68

5a = 80

a = 16

<em><u>Substitute a = 16 in eqn 2</u></em>

c = 3(16) = 48

c = 48

<em><u>Substitute a = 16 in eqn 1</u></em>

g = 16 - 12 = 4

g = 4

<em><u>Find the ratio of George’s age to Carl’s age to Alex’s age</u></em>

Ratio of George’s age to Carl’s age to Alex’s age = g : c : a

g : c : a = 4 : 48 : 16

Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

6 0
4 years ago
In April, The Kazbaas drove 760 miles in their tour van.
DedPeter [7]

9514 1404 393

Answer:

  £135.98

Step-by-step explanation:

  (760\text{ mi})\dfrac{1\text{ gal}}{29.5\text{ mi}}\cdot\dfrac{4.55\text{ L}}{1\text{ gal}}\cdot\dfrac{\pounds1.16}{1\text{ L}}=\dfrac{760\cdot4.55\cdot\pounds1.16}{29.5}\\\\=\boxed{\pounds135.98}

It cost £135.98 for petrol in April.

5 0
3 years ago
Find the distance between the two points in simplest radical form. (3,8) and (5, -1)​
ruslelena [56]

Answer: irk

Step-by-step explanation:

7 0
3 years ago
Tom was selling his old games. He started out with 57 but sold 37 of them. He put the rest in boxes with 5 games in each. How ma
eduard

Answer:

Tom started out with 57 games but sold 37 of them.

=> Now, Tom has: 57 - 37 =20 games

He put the rest in boxes with 5 games in each.

=> The number of boxes: 20/5 = 4 box

Hope this helps!

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8 0
3 years ago
Which is the answer of the following question
fgiga [73]

Answer:

<u>B) 25.12 cm</u>

Step-by-step explanation:

<u>Arc length</u>

  • 2πr x 1/4
  • 2 x 3.14 x 16/4
  • 8 x 3.14
  • <u>25.12 cm</u>
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