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dimulka [17.4K]
3 years ago
14

If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

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

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

  • Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
  • Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.

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MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

7 0
3 years ago
An airplane covers 94 miles in 1/6 of an hour. How many miles the plane can cover in 6 hours?
jeyben [28]

Let's find what 1/6 of an hour is.

1/6×60=10

So, ten minutes is equal to 1/6 of an hour. Let's find hour many sets of 10 minutes are in six hours. Let's first find the amount of minutes.

6×60=360

360÷10

36

Let's multiply that by 94.

94×36

3,384 miles in 6 hours.

7 0
3 years ago
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Diano4ka-milaya [45]

Answer:

Not equivalent

Step-by-step explanation:

The three would also be distributed to z making the correct equivalent expression 15+3z

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ch4aika [34]

Answer:

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Step-by-step explanation:

17.40/35%

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Y + 2 = 5/3 (x+6) .....
Rom4ik [11]
Your answer would be y=5/3x+8

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