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sashaice [31]
3 years ago
10

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 ar

e congruent because they are vertical angles. Then, by which property are angles 4 and 5 congruent? Together, these statements prove which theorem? A) Transitive Property of Congruency; If parallel lines have a transversal, then supplemental angles are congruent. B) Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent. C) Symmetric Property of Congruency; If parallel lines have a transversal, then alternate exterior angles are congruent. D) Commutative Property of Congruency; If parallel lines have a transversal, then same side interior angles are congruent.
Mathematics
2 answers:
tiny-mole [99]3 years ago
7 0

Answer:

Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent.

The Transitive Property of Congruency:

If 2 angles are congruent to a third angle, then they are congruent to each other. So, since angles 4 and 5 are both congruent to angle 1, they are congruent to each other.

Angles 4 and 5 are alternate interior angles. Therefore, if parallel lines have a transversal, alternate interior angles are congruent.

Makovka662 [10]3 years ago
6 0

Answer:

Option B)

Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

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Flura [38]

The statements that are true from the graph are:

  • The line is horizontal
  • The line goes through (4, 4 )
  • The y- values are all 4

<h3>Calculations and Parameters</h3>

Given the graph, we can note some things:

  • There is a line with a slope of zero.
  • This is a horizontal line parallel to the x-axis.
  • The equation of the line is y = c

c is the value of the y- coordinates the line passes through.

The line passes through (0, 4 ) with a y- coordinate of 4

Therefore, the equation of the line of y= 4

Read more about graphs here:

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3 0
2 years ago
When written in simplest form the expression 5(3x + 2)+2(x-7) is?
Sophie [7]

Answer:

Option 1

Step-by-step explanation:

5(3x+2) + 2(x-7)

15x + 10 + 2x -14

15x + 2x + 10 - 14

17x - 4

6 0
2 years ago
Jacob bought one bulb of elephant garlic for $2. How many bulbs can Stephanie buy if she has $12?
Marysya12 [62]

Answer:

She can buy six bulbs of garlic

Step-by-step explanation:

Well you know that each bulb of garlic is 2 dollars.  You also know that Stephanie has 12 dollars.  In order to solve this you need to take the amount of money Stephanie has and divide it by the price per bulb in order to find out how many bulbs she can buy.

12/2 = 6

She can buy 6 bulbs of garlic

5 0
3 years ago
Read 2 more answers
Which of the following is the solution to the system of linear equations<br> x=2y + 5 x/3-y=4/3
Alex73 [517]

Answer:

(7, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

x = 2y + 5

x/3 - y = 4/3

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Substitute:                              (2y + 5)/3 - y = 4/3
  2. Multiply 3 on both sides:       2y + 5 - 3y = 4
  3. Combine like terms:               -y + 5 = 4
  4. Isolate <em>y</em> term:                         -y = -1
  5. Isolate <em>y</em>:                                  y = 1

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define:                    x = 2y + 5
  2. Substitute:              x = 2(1) + 5
  3. Multiply:                  x = 2 + 5
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And we have our final answer!

3 0
2 years ago
Read 2 more answers
Help anyone please . !!!!
vlabodo [156]

⇒The answer to the first question would be $69.75.

⇒The answer to the 2nd question would be $36.48.

⇒The answer to the 3rd question would be $42.7.

Here's how to get them:

For question 1: A 55% markup for $45 ⇒1.55*45⇒69.75


For question 2: A 60% markup for $22.8⇒ 1.6*22.8⇒36.48


For question 3: A 40% markup for $30.50⇒1.4*30.50⇒42.7

Small Explanation: The reason why there should be a 1 in front of the decimal (which is the percent, but in decimal form) is because by not adding that number 1 in front of the decimal, you will have to do an extra step.


Anyway, hope this helped! :-)



8 0
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