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3 years ago

All sides of ABC are tangent to circle P. What is the perimeter of the triangle below?

Mathematics

1 answer:

arlik [135]3 years ago

6 0

I got an answer of 58.

Subtract 10 from the side length of 24 to get 14.

And use the side length of 5 to find another side length that also equals 5.

In total all your side lengths would be 10,5,5,24,14. And all of them together to arrive at an answer of 58.

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D · 24 = -12 What does d equal?

Darya [45]

Answer: $d=-1/2$

Move all terms to the left

$d*24-(-12)=0$

Add all the numbers together, and all the variables

$d*24+12=0$

Multiply elements

$24d+12=0$

Move all terms containing d to the left, all other terms to the right

$24d=-12\\-12/24\\d=-1/2$

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2 years ago

Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula

jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

$\frac{5}{5 + 2 + x} = \frac{5}{7 + x}$

Both fractions are equal, so:

$\frac{5}{7 + x} = \frac{1}{2}$

Applying cross multiplication:

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2 years ago

Toms banks baleances at the end of the months 1,2,3 are 1600 ,1664,1730.56 what will toms balance be at the end of month 5

Sergeeva-Olga [200]

Answer:

Tom's balance at the end of month 5 = 1,871.77

Step-by-step explanation:

a = 1600

ar = 1664

ar² = 1730.56

common ratio, r = ar/a

= 1664/1600

= 1.04

r = 1.04

what will toms balance be at the end of month 5

Month 5 = ar⁴

= 1600 * 1.04⁴

= 1600 * 1.16985856

= 1,871.773696

Approximately 1,871.77

Tom's balance at the end of month 5 = 1,871.77

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3 years ago