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kari74 [83]
2 years ago
9

Which two theorems would justify that m∠4 = m∠6, given that m∠5 = m∠6 in the diagram below?

Mathematics
2 answers:
KonstantinChe [14]2 years ago
7 0

Answer:

D

Step-by-step explanation:

My name is Ann [436]2 years ago
4 0

Answer: D) vertical angles theorem, alternate interior angles theorem

Angle 5 = Angle 6 by the alternate interior angles theorem

Angle 5 = angle 4 by the vertical angles theorem

By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.

We won't use the angle addition theorem or the right angles theorem.

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Select ALL the correct answers.
IgorC [24]

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

7 0
2 years ago
What s the probability of -3 and 3
hammer [34]

Answer:

<h3>There equal (-3)=3</h3>

Step-by-step explanation:

<h3> 3 is the same distance from 0 than -3</h3>
5 0
3 years ago
Read 2 more answers
You raise pigs. When you purchase the pig it weighs 54 pounds. Within 5 to 6 months your pig will gain around 420% in weight. Ho
slamgirl [31]

Answer:

280.8 pounds

Step-by-step explanation:

Original weight of pig = 54 pounds

Percentage increase in weight = 420%

Current weight of pig = original weight + 420% of original weight

= 54 + 420% of 54

= 54 + 420/100 * 54

= 54 + 4.2 * 54

= 54 + 226.8

= 280.8 pounds

Current weight of pig = 280.8 pounds

4 0
3 years ago
How to get the area of the lion?<br>check the enclosed photo please!
Alborosie
The area of the lion is 6m

Because: This shape is difficult to find the area of so lets break it up into a square an 2 triangles. The squares dimensions are 2mx2m, to find the area of this we multiple them together to get, 4m. Next the triangles are the same dimensions so finding one, we find the other. The dimensions of these are 2mx1m. To find the area of a triangle you multiple the 2 sides (not the diagonal side) and divide by 2. 2x1 is 2, divided by 2 is 1. So the area of both of the triangles is 1. Now we just need to add all of these together. 4m+1m+1m= 6m
5 0
3 years ago
Half the sum of x and you decreased by one-third of y
geniusboy [140]

Answer:

½(x+y) - y/3. Hope this helps! If not, sorry!

Step-by-step explanation:


4 0
3 years ago
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