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Stells [14]
2 years ago
11

Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor t

rails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines. Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13. Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options. MAngle3 = mAngle6 = 98° mAngle3 = mAngle14 = 98° mAngle4 = mAngle8 = 82° mAngle4 = mAngle12 = 82° mAngle5 = mAngle8 = 82°.
Mathematics
2 answers:
Lubov Fominskaja [6]2 years ago
8 0

Answer:

I believe these are correct

Step-by-step explanation:

lys-0071 [83]2 years ago
5 0

The following statements are true:

  • <3 = m<6 = 98 degrees (alternate interior angles)
  • m<4  = m<8 = 82degrees (corresponding angles)
  • m<5 = m<8 = 82 degrees (vertical angles)

Find the diagram attached.

Given the parameter:

m<2 = 98 degrees

From the diagram, the following are true:

m<2 = m<3 = 98 degrees (vertical angles)

  • m<3 = m<6 = 98 degrees (alternate interior angles)

The sum of m<3 and m<4 is 180 degrees.

m<3 + m<4 = 180

m<4 = 180 - m<3

m<4 = 180 = 98

m<4 = 82 degrees

  • m<4  = m<8 = 82degrees (corresponding angles)
  • m<5 = m<8 = 82 degrees (vertical angles)

Learn more on angles here: brainly.com/question/24607467

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HELP PLEASSEE
Marizza181 [45]
The diameter is 4 inches.
6 0
3 years ago
Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t
amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

  • Rate or speed of Adam = 6 mph
  • Ten minutes later, Benjamin started to run from city B towards city A
  • Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

5 0
3 years ago
I don’t understand this math question
pishuonlain [190]

Answer:

S

Step-by-step explanation:

3 0
3 years ago
If x3 = 27, what is the value of x?
ipn [44]

Answer:

The value of x is 3

Step-by-step explanation:

Given:

x^3 = 27

To Find:

x = ?

Solution:

We Know that

a = (a^3)^\frac{1}{3}

a = (a)^\frac{3}{3}

We can write 27 as 3 \times 3 \times 3 = 3^3

Taking cube root on both sides

(x^3)^{\frac{1}{3} }= (3^3)^{\frac{1}{3}}

x^{\frac{3}{3}} = 3^{\frac{3}{3}}

x^1 = 3^1

x = 3

8 0
3 years ago
Two sisters open saving accounts with $60 each that their grandmother gave them. The first sister adds $20 each month to her acc
maw [93]
Month 1
Sister 1; 60/ Sister 2; 60
Month 2
Sister 1; 80/ Sister 2; 60
Month 3
Sister 1; 100/ Sister 2; 100

On month 3 the should both have $100 in their accounts.
4 0
3 years ago
Read 2 more answers
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