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navik [9.2K]
4 years ago
6

Please help, I'm so close to finishing all these.

Mathematics
1 answer:
Vadim26 [7]4 years ago
6 0

Answer:

  d.  43°

Step-by-step explanation:

KM is a bisector of ∠LKN, so ...

  ∠LKN = 2(∠4)

  7q +2 = 2(4q -5)

  12 = q . . . . . . . . . . . add 10-7q, simplify

Now, we can put 12 where q is in the expression for ∠4:

  ∠3 = ∠4 = 4·12 -5 = 43

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How do you solve this
fiasKO [112]
(((x + y) / 3) + (1 / x)) / (5 + (15 / x))
The best way is to make it one fraction.
Multiply by ((3x/3x) / (3x/3x)) to remove the other fractions.
((x(x + y)) + 3(1)) / (5(3x) + 3(15))
(x^2 + xy + 3) / (15x + 45)
Then factor to simplify
(x^2 + xy + 3) / (3(x + 15))



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What’s 2/x equals 7/9
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2/x=7/9
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5 0
3 years ago
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
Lady_Fox [76]
Answer is: 32 nickels and 23 dimes.
<span>x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
</span>nickel is a five-cent coin.
dime is a ten-cent coin.<span>
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05</span>·(55 - y) + 0,1y = 3,90<span>2,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.</span>
5 0
4 years ago
Read 2 more answers
Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
Y_Kistochka [10]
The point slope form:
y - y_1 = m(x - x_1)

We need to find the slope. To find the slope we can use the following formula:
\frac{y_2 - y_1}{x_2 - X_1}

Use the points <span>(-5, 6) and (0, 1) and plug it into our slope formula and solve:
</span>\frac{1 - 6}{0 - (-5)}
\frac{-5}{5} = -1

So our slope is -1 which means m = slope = -1 
Now that we have our slope lets create the point slope form

Our point slope form equation is y - y_1 = m(x - x_1) Remember 
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
y - y_1 = -1(x - x_1)

Next, insert the -5 from (-5,6) where x_1 is located and the 6 from (-5,6) where y_1 is located.
y - y_1 = -1(x - x_1)
y - 6 = -1(x - (-5))
Now simplify 
y - 6 = -1(x - (-5))
y - 6 = -1(x +5) <-------Answer





8 0
4 years ago
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