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Marysya12 [62]
3 years ago
12

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre

ated by the intersecting lines? Explain.
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
4 0
When two lines intersect, four angles are formed. Each opposite pair are called vertical angles and are always congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.

Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure. </span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span> </span> <span>

Properties of linear pair includes:<span>
i.) Each pair of linear angles are supplementary (add to 180°).</span></span><span /></span>
zvonat [6]3 years ago
4 0

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

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A wedding planner purchased both small and large lanterns for a wedding reception. The planner purchased a total of 40 lanterns
Olegator [25]

Answer:

The wedding planner must have purchased 28 small lanterns and 12 large lanterns.

Step-by-step explanation:

8 0
2 years ago
A club raised 175% of its goal for a charity. The club raises $875. What was the goal?
charle [14.2K]

Answer: The goal was $500

======================================================

Work Shown:

x% = x/100

175% = 175/100 = 1.75

Let g be the goal, which is the amount of money the club wanted to raise

175% of goal = 175% of g = 1.75g

The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g

1.75g = 875

g = 875/1.75 ....... divide both sides by 1.75

g = 500

The club's goal was to raise $500

Note how 75% of $500 is 0.75*500 = 375

When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.

Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.

3 0
3 years ago
A rental car company charges a base fee of $36.94 plus $0.60 per mile driven. If x represents the number of miles driven, which
Tom [10]
Answer: y=0.60x+36.94

To find the equation we just set y equal to the 0.60 cents times x miles plus the 36.94 base fee. Any questions just ask. Cheers
4 0
3 years ago
Evaluate. 10 • [2 + (24 – 8)] ÷ 4 * A. 85 B. 9 C. 42 D. 45
ludmilkaskok [199]
\bf 10\cdot [2+(24-8)]\div 4\implies \stackrel{\mathbb{PEMDAS}}{10\cdot [2+(16)]\div 4}\implies 10\cdot [18]\div 4&#10;\\\\\\&#10;180\div 4\implies 45

recall, peMDas, Multiplication and Division, from left-to-right.
7 0
3 years ago
Read 2 more answers
Angle 2 is 110 degrees. Allen claims that we do not have enough information to solve for angle 1. Is he correct? Why or why not?
devlian [24]

Allen's claim that we do not have enough information to solve for angle 1 is incorrect

<h3>How to calculate the measure of angle 1</h3>

Given that:

Angle 2 = 110 degrees

Angle 1 and angle 2, are the only angles on the straight line.

So, we have:

\angle 1 + \angle 2 = 180

Substitute 110 for angle 2

\angle 1 + 110 = 180

Subtract 110 from both sides

\angle 1 = 70

The measure of angle 1 is 70 degrees.

So, we can conclude that Allen's claim is incorrect

Read more about angle theorems at:

brainly.com/question/6766389

3 0
3 years ago
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