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pochemuha
3 years ago
13

What is a positive angle less than 360 degrees that is conterminal with 540 degrees

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

Please check the explanation.

Step-by-step explanation:

As we have to determine a positive angle less than 360 degrees that is conterminal with 540 degrees.

so

  • Subtract 360° from 540°

540° - 360° = 180°

The resulting angle of 180° is positive, less than 360°, and coterminal with 540°.

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If m<3 =54°. find each measure.
weqwewe [10]

Answer/Step-by-step explanation:

Given:

m<3 = 54°

m<2 = right angle

a. m<1 + m<2 + m<3 = 180° (angles in a straight line)

m<1 + 90° + 54° = 180° (substitution)

m<1 + 144° = 180°

m<1 = 180° - 144°

m<1 = 36°

b. m<2 = 90° (right angle)

c. m<4 = m<1 (vertical angles)

m<4 = 36° (substitution)

d. m<5 = m<2 (vertical angles)

m<5 = 90°

e. m<6 = m<3 (vertical angles)

m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles)

m<7 + 54° = 180° (substitution)

m<7 = 180 - 54

m<7 = 126°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 54°

h. m<9 = m<7 (vertical angles)

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36° (substitution)

k. m<12 + m<11 = 180° (linear pair)

m<12 + 36° = 180° (substitution)

m<12 = 180° - 36°

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144° (substitution)

6 0
3 years ago
Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is
Dovator [93]

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

n_1 =6miles

r_1 = 2mph

Casey

c_1 = 8miles

r_2 =1mph

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At n_1 =6miles and c_1 = 8miles

The distance between them is:

d_1 = \sqrt{n_1^2 + c_1^2}

d_1 = \sqrt{6^2 + 8^2}

d_1 = \sqrt{100}

d_1 = 10miles

After 1 hour, their new position is:

New = Old + Rate * Time

n_2 = n_1 + r_1 * 1

n_2 = 6 + 2 * 1 = 8

And:

c_2 = c_1 + r_2 * 1

c_2 = 8 + 1 * 1 = 9

So, the distance between them is now:

d_2 = \sqrt{n_2^2 + c_2^2}

d_2 = \sqrt{8^2 + 9^2}

d_2 = \sqrt{145}

d_2 = 12.04

The rate of change is:

\triangle d = d_2 -d_1

\triangle d = 12.04 -10

\triangle d = 2.04

5 0
3 years ago
A figure is shown
Sunny_sXe [5.5K]

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

3 0
3 years ago
Read 2 more answers
Help plz..And No links!! I repeat No links!!
patriot [66]

This is Right answer....

I hope you understand...

Mark me as brainliest....

Thanks

6 0
3 years ago
Read 2 more answers
The blades of a helicopter's propeller are perpendicular and congruent. The distance between consecutive blade tips is 24 feet.
Leno4ka [110]

Check the picture below.

now, recall, both blades are congruent, thus a = b, so c² = a² + b² -> c² = b² + b².

7 0
3 years ago
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