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ra1l [238]
2 years ago
7

What is the value of k?

Mathematics
1 answer:
ki77a [65]2 years ago
4 0

Answer:

k = 10

Step-by-step explanation:

the sum of any two interior angles is equal to the exterior angle of the unknown interior angle

4k+5 + 6k+10 = 115

10k + 15 = 115

10k = 100

k = 10

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Use all the givens.
5 0
3 years ago
What is the gcd of 2563 and 4147
sdas [7]

Answer:

GCD=11

Step-by-step explanation:

Factors of 2563 are: 1 , 11 , 233 , 2563.

Factors of 4147 are: 1 , 11 , 13 , 29 , 143 , 319 , 377 , 4147.




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2 years ago
Factor completely: 3x2 + 2x - 1
Alex777 [14]
3x^{2}+2x-1=3x^{2}+3x-x-1= \\  \\ 3x(x+1)-(x+1)=(3x-1)(x+1)

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<em>"Associate with people who are likely to improve you."</em>
4 0
3 years ago
Read 2 more answers
A jet travels 500 miles in 5 hours. What is the ratios of miles to hours?
tia_tia [17]

Answer:

different answers in step-by-step

Step-by-step explanation:

100 mph

100mi:1hr

100mi/1hr

3 0
2 years ago
PLEASE HELP
Licemer1 [7]

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d  - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

4 0
2 years ago
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