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3 years ago

What does “converse of the alternate interior angles theorem” mean?

Mathematics

1 answer:

babymother [125]3 years ago

3 0

Answer:

<em>If alternate interior angles formed by two lines with an intersecting traversal are congruent , then these two lines are parallel.</em>

Step-by-step explanation:

Hope this helps :)- Mark Brainiest Please! Thanks!

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What is 2x - 3 = -x + 3

BARSIC [14]

<span>Simplifying 2x + -3 = -1x + 3
Reorder the terms: -3 + 2x = -1x + 3
Reorder the terms: -3 + 2x = 3 + -1x Solving -3 + 2x = 3 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 2x + x = 3 + -1x + x
Combine like terms: 2x + x = 3x -3 + 3x = 3 + -1x + x
Combine like terms: -1x + x = 0 -3 + 3x = 3 + 0 -3 + 3x = 3
Add '3' to each side of the equation. -3 + 3 + 3x = 3 + 3
Combine like terms: -3 + 3 = 0 0 + 3x = 3 + 3 3x = 3 + 3
Combine like terms: 3 + 3 = 6 3x = 6
Divide each side by '3'. x = 2
Simplifying x = 2

answer x=2

Hope I Helped:D</span>

7 0

3 years ago

Read 2 more answers

Let f(x)= 5/x and g(x)=2x^2+5x What two numbers are not in the domain of f o g?

Igoryamba

Answer:

two number not included in domain are x=0 and x=-5/2

Step-by-step explanation:

Let f(x)= 5/x and g(x)=2x^2+5x

WE need to find out the excluded value in the domain of f o g

f o g is the composition of functions

f o g= f(g(x))

lets plug in g(x) in f(x)

$f(g(x))= f( 2x^2+5x)$

replace 2x^2+5x in f(x)

$f(g(x))= f(2x^2+5x)=\frac{5}{2x^2+5x}$

here we have 2x^2+5x in the denominator

to find the numbers that are in domain we set the denominator =0 and solve for x

Because when denominator becomes 0 the function is undefined

$2x^2+5x=0$

$x(2x+5)=0$

x=0 and 2x+5=0 (subtract 5 on both sides)

2x= -5 (divide by 2 on both sides)

x=-5/2

5 0

3 years ago

Read 2 more answers

Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.

BaLLatris [955]

Step-by-step explanation:

where is the figureee??

3 0

3 years ago

The city built a skate park that cost $3,240 and will be paid for over two years in equal monthly payments. How much is each mon

tatiyna

Answer:

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

Well the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the back streets?

You'll never know if you don't go

You'll never shine if you don't glow

Hey now, you're an all-star, get your game on, go play

Hey now, you're a rock star, get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

It's a cool place and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how about yours?

That's the way I like it and I'll never get bored

Hey now, you're an all-star, get your game on, go play

Hey now, you're a rock star, get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

Hey now, you're an all-star, get your game on, go play

Hey now, you're a rock star, get the show, on get paid

And all that glitters is gold

Only shooting stars

Somebody once asked could I spare some change for gas?

I need to get myself away from this place

I said, "Yup" what a concept

I could use a little fuel myself

And we could all use a little change

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the back streets?

You'll never know if you don't go (go!)

You'll never shine if you don't glow

Hey now, you're an all-star, get your game on, go play

Hey now, you're a rock star, get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

And all that glitters is gold

Only shooting stars break the mold

Step-by-step explanation:

8 0

2 years ago

You have two coupons for a store. Coupon 1 is for $10 dollars off. Coupon 2 is for 15% off. Coupon 2 is for 15% off. You can onl

patriot [66]

Answer:

Purchases greater than 66.67 dollars should use coupon 2, while purchases between 20 dollars and 66.67 should use coupon 1.

Step-by-step explanation:

Coupon 1 must be used as long as those 10 dollars represent more money than 15% of coupon 2.

For example, if the purchase is the minimum of $ 20, 10 dollars represents half of the purchase, therefore in this case it is better to use coupon 1.

In this case, coupon 2 would only be a discount of 3 dollars (20 * 0.15).

So when from what value would it be better to use coupon 2, it would have to be calculated when it is worth more than 10 dollars.

10 = x * 0.15

x = 10 / 0.15

x = 66.67

That is to say that from the purchases greater than 66.67 dollars, coupon 2 would have a discount equivalent to 10 dollars or more.

7 0

3 years ago