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2 years ago

Given: l || m; ∠1 ∠3

Mathematics

1 answer:

Katarina [22]2 years ago

3 0

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

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Simplify the expression 2p + 3/4p + 6 - p - 3 1/2

lozanna [386]

<u>Answer:</u>

The simplified expression is "7p/4 + 2 1/2" or "1.75p + 2.5".

<u>Step-by-step explanation:</u>

2p + 3/4p + 6 - p - 3 1/2
=> (2p - p + 3/4p) + (6 - 3.5)
=> 1.75p + 2.5

Hence, the simplified expression is "<u>7p/4 + 2 1/2</u>" or "<u>1.75p + 2.5</u>". Any of these would work.

Hoped this helped.

$BrainiacUser1357$

7 0

2 years ago

Twelve times the sum of three and a number is equal to five times the sum of eight more then twice the number

Andreas93 [3]

The equation is 12(3+x)=5(2x+8)

4 0

3 years ago

What is the product of 3x50x18x2? A:1,800 B:5,400 C:540 D:2,700

Delvig [45]

3 x 50 x 18 x 2

3 x 50 = 150

18 x 2 = 36

150 x 36 = 5400

8 0

3 years ago

If f(x)=-x^2+2x, find f(3)-7

igomit [66]

Answer:

f(3) just means to substitute 3 in for x.

Step-by-step explanation:

f(3) just means to substitute 3 in for x.

(

)

−

Explanation:

(

)

−

(

)

According to the order of operations, first square the 3, which is 9.

(

)

−

The negative sign in front of the x squared is equivalent to multiplying by negative one.

Add -9 and 7 together, which is -2

So,

(

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−

5 0

3 years ago

Mr. Taylor weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that co

yaroslaw [1]

Answer:

1.) 300 - 5w = 150

2.) 30 weeks

Step-by-step explanation:

w = weeks on the diet

if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds... etc. But because he's losing punds the value is negative

He starts at 300 pounds so the y-intercept (starting value) would be 300

Finally, because he's looking to get to 150 pounds, that is the final value you're solving for

So this is your firat equation:

300 - 5w = 150

Then we are looking for when two different eqaution have the same value.

Your equation is: 60 + 7w

Her equation is: 120 + 5w

Your final equation is 60 + 7w = 120 + 5w

Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.

Your equation is now 2w = 60

Then divide the whole equation by 2, and you get w = 30

hope this helps, be safe :)

5 0

3 years ago