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scoray [572]
3 years ago
15

Use t = 3 and t = 7 to determine if 6t + 12 and 6(t + 2) are equivalent. Which statements are true? Check all that apply.

Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0

Answer: The correct answers are 3: The value of both expressions when t = 3 is 30, 4: The value of both expressions when t = 7 is 54, and the last answer is 5: The expressions are equivalent.

Step-by-step explanation:

I took the test

kobusy [5.1K]3 years ago
3 0

Answer:

1. false

2. false

3. true

4. true

5. true

6. false

Step-by-step explanation:

1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.

2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.

3. The value of both expressions when t = 3 is 30.

4. The value of both expressions when t = 7 is 54.

5. The expressions are equivalent.

6. The expressions are not equivalent.


6t + 12 = 6(t + 2)

6(3) + 12 =6((3) + 2)

18 + 12 = 6(5)

30 = 30

6(7) + 12 = 6((7) + 2)

42 + 12 = 6(9)

54 = 54

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QUESTION 1:

Required angles are: m<2=75°, m<3=75°, m<4= 105°, m<5= 105°, m<6=75°, m<7=75°, m<8=105°

QUESTION 2:

Required angles are: m<1=100° m<2=80°, m<4= 100°, m<5= 100°, m<6=80°, m<7=80°, m<8=100°

Step-by-step explanation:

Question 1:

if m<1 =105°

We need to find the remaining angles.

The corresponding angles of a traversal are same. so the corresponding angle of <1 is angle 5 So, m<5 = 105°

The vertical angles are also equal. so, vertical angle of <1 is <4. So, m<4 = 105°

Vertical angles of m<5 is m<8 so, m<8=105°

m<1 and m<2 are supplementary angles of each other so their sum will be equal to 180°

So, m<1+m<2=180

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m<2=75°

Same goes for m<3 and m<4 so, m<3 = 75°

m<5 and m<6 so, m<6 = 75°

m<7 and m<8 so, m<7= 75°

So, required angles are: m<2=75°, m<3=75°, m<4= 105°, m<5= 105°, m<6=75°, m<7=75°, m<8=105°

Question No 2

if m<3=80°

We need to find the remaining angles.

The corresponding angles of a traversal are same. so the corresponding angle of <3 is angle 7 So, m<7 = 80°

The vertical angles are also equal. so, vertical angle of <3 is <2. So, m<2 = 80°

The Vertical angle of <7 is <6 so, m<6= 80°.

m<1 and m<2 are supplementary angles of each other so their sum will be equal to 180°

So, m<1+m<2=180

m<1+80=180

m<1=100°

Same goes for m<3 and m<4 so, m<4 = 100°

m<5 and m<6 so, m<5 = 100°

m<7 and m<8 so, m<8= 100°

So, required angles are: m<1=100° m<2=80°, m<4= 100°, m<5= 100°, m<6=80°, m<7=80°, m<8=100°

Keywords: Traversal of parallel lines

Learn more about traversal of parallel lines at:

  • brainly.com/question/1598227
  • brainly.com/question/3227215
  • brainly.com/question/10483199

#learnwithBrainly

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