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Travka [436]
2 years ago
5

PLEASE HELP! Given: UL and PM, transversal GK ∠UJI and ______ are corresponding angles

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
8 0

< uji and < pik are corresponding angles


corresponding angles are  the angles in matching corners

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Use the functions to answer the question.
Lelechka [254]

Answer:

3 and 9

if f(x)=x^2+13 and g(x)=12x-14

Step-by-step explanation:

So when we are looking for the intersection of two functions, we are trying to figure out when they are the same.  When you think same, you should think equal (=).

So we want to find when f(x)=g(x) for x.

f(x)=g(x)

x^2+13=12x-14

Let's get everything to one side.

Subtracting 12x and adding 14 to both sides.

x^2+13+14-12x=0

I'm going to reorder the left hand side and also simplify the 13+14 part:

x^2-12x+27=0

Now since the coefficent of x^2 is just 1 our job is to find two numbers that multiply to be 27 and add up to be -12.

Those numbers are -3 and -9 since -3(-9)=27 and -3+(-9)=-12.

So the factored form of our equation is

(x-3)(x-9)=0

Since the product is 0, then at least one of the factors must be 0.

So we want to solve both x-3=0 and x-9=0.

x-3=0 can be solved by adding 3 on both sides. This gives us x=3.

x-9=9 can be solved by adding 9 on both sides. This gives us x=9.

The intersection of f and g happens at x=3 or x=9.

5 0
3 years ago
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Dajuan has 7 action movies, 6 comedies, 1 documentary, and 2 musicals in his DVD collection. What is the ratio of comedies to th
yaroslaw [1]

Answer:

6:16  simplifies to 3:8

Step-by-step explanation:

7 + 6+ 1 + 2 = 16

Ratio of comedies to the total

6:16  simplifies to 3:8

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3 years ago
What is -(8^-2) need to know how to do this asap
yarga [219]

Answer:

-\frac{1}{64}

Step-by-step explanation:

-(8^{-2})\\\\\\x^{-n}=\frac{1}{x^{n}}\\\\\\-(8^{-2})=-\frac{1}{8^{2}}\\\\=-\frac{1}{64}

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3 years ago
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Jillian said √25 is irrational because it is a square root. Why is she wrong
o-na [289]
Square roots are rational and it equals 5 and 5 is rational
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3 years ago
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If 15 books cost $90, what is the unit price?
creativ13 [48]

Answer:

$6/ book

Step-by-step explanation:

Unit price = Total cost/ total number of items

                = 90/15

                =$6 per book

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3 years ago
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