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leva [86]
3 years ago
14

Derek wrote the following paragraph proof for the Vertical Angles Theorem:

Mathematics
2 answers:
Aneli [31]3 years ago
7 0
The phrase that would complete the proof is this:
Angle 2 is equal to Angle 4.

Vertical angles are angles formed when two lines intersect each other. The angles that are opposite each other are equal by a series of supplementary, complementary, and transitive property proofs.
valkas [14]3 years ago
6 0

The answer would be Angle 1 is equal to angle 3 by the subtraction property of equality.

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Which statement is true?
valentinak56 [21]

Answer:

  |-3| = 3 and -|-4| = -4

Step-by-step explanation:

The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.

|-3| = 3 (true) and -|-4| = -4 (true)   ⇒ this statement is true

|-3| = 3 (true) and |-4| = -4 (false)   ⇒ this statement is false

-|3| = 3 (false) and |4| = 4 (true)   ⇒ this statement is false

|-3| = 3 (true) and -|4| = 4 (false)   ⇒ this statement is false

__

<em>Additional comment</em>

A compound "and" statement is only true if <u>all</u> of the parts of it are true.

8 0
2 years ago
&lt;RQT is a straight angle. What are m&lt;RQS and m&lt;TQS​
never [62]

Answers:

  • x = 11
  • angle RQS = 106 degrees
  • angle SQT = 74 degrees

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

Explanation:

Straight angles are always 180 degrees in measure.

The two smaller angles shown add up to 180

(angle RQS) + (angle SQT) = angle RQT

(9x+7) + (6x+8) = 180

(9x+6x) + (7+8) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

From here, we then know that,

  • angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
  • angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees

Note how the two results add to 106+74 = 180 to help confirm the answers.

8 0
3 years ago
What is the circumstance of the trampoline including its outer edge? Use 3.14 for pie
Lubov Fominskaja [6]

Answer:

c = 43.96

Step-by-step explanation:

First you have to find the diameter of the trampoline which would be 14

Next plug it into the circumference formula c = dπ

c = (14)(3.14)

c = 43.96

7 0
4 years ago
Nine more than the product of -8 and a number is -7
Yanka [14]

Answer:

-9

Step-by-step explanation:

5 0
3 years ago
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What is the slope of a line between the points (-4,-3) and (4, -2)?
Mashcka [7]

Answer:

slope is 1/8

Step-by-step explanation:

you have to substitute the values of x and y into the equation below:

after simplifying your answer would be 1/8

4 0
3 years ago
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