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2 years ago

3) The measure of the angle which is equal to its supplement is

Mathematics

1 answer:

kari74 [83]2 years ago

3 0

Answer:

Step-by-step explanation:

90 degrees

x + y = 180

x = y

x + x = 180

2x = 180

x = 180/2

x = 90

Both the angle and its supplement = 90

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Rajit buys 4 pairs of socks for $2.50 per pair. He pays with a $20 bill.

sveta [45]

2.50 x 4 = 10

20 - 10 = 10

so his change would be $10

5 0

3 years ago

Read 2 more answers

A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

8 0

3 years ago

Heidi must correctly answer at least 80% of the questions on an exam to advance to the next

Oduvanchick [21]

Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15

Total questions = 26 + 4 + 15 = 45

45 * 80% = 36 required correctly answered questions.

36 - 26 = 10

Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.

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3 years ago

Express p in terms of q if

Irina-Kira [14]

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2 years ago

12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band? |

jek_recluse [69]

Answer:36

becuse if you maltiply 15 by 3 it makes 45 and you can maltiply 12 by 3 and you will get your answer

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2 years ago