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Ludmilka [50]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

x = 24.5

Step-by-step explanation:

There are two similar triangles. In similar triangles the sides are in proportion.

Let's name big triangle as triangle 1 and small triangle as triangle 2.

The sides of the big triangle:

27 as base and the longest side (x + 7)

The sides of the small triangle:

base = 27 - 6 = 21

longest side = x

We need to find the value of x using proportion.

27/21 = (x + 7)/ x

By cross multiplying, we get

27(x) = 21(x + 7)

27x = 21x + 147

27x - 21x = 147

6x = 147

Dividing both sides by 6, we get

x = 147/6

x = 24.5

The value of x = 24.5

Hope you will understand the concept.

Thank you.

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A soccer team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets: premium fo
lesya692 [45]

Answer:

45 premium tickets were sold

Step-by-step explanation:

p = premium

d = deluxe

r = regular

p+d+r = 273

6p+4d + 2r = 836

118+d = r

Replace r with 118+d

p+d+118+d = 273

p +2d = 273-118

p+2d = 155

6p+4d + 2(118+d) = 836

6p+4d + 236+2d = 836

6p +6d = 836-236

6p + 6d = 600

Divide by 6

p+d = 100

d = 100-p

Replace d in p +2d= 155

p +2(100-p) = 155

p+200-2p = 155

-p = 155-200

-p =-45

p =45

45 premium tickets were sold

3 0
3 years ago
Read 2 more answers
A house and a lot cost more than $89,000. The house cost $1000 more than seven times the cost of the lot. How much does the lot
tatyana61 [14]
7x+1000+x=89000

7x+x+1000-1000=89000-1000
8x=88000

8x/8=88000/8
x=$11000
4 0
2 years ago
Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.
Natali [406]

This can be solve by using the formula

D = P( 1 – i)^n

Where d is the depreciation value after n years

P is the initial value

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n is the years

D = 1/3 ( 1800)

D = 600

So

600 = 1800 ( 1- 0.45)^n

Solve for n

<span>N = 1.83 years</span>

3 0
2 years ago
If someone can do this only 5 times i’ll give u a cent
Thepotemich [5.8K]

Answer:

20

Step-by-step explanation:

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x = 20

I hope im right!!

6 0
2 years ago
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Answer:

6

Step-by-step explanation:

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