Which if the following best describes a pair of angles that combine to form a straight angle.

Mathematics

2 answers:

il63 [147K]3 years ago

7 0

Answer:

Option B and D

Step-by-step explanation:

Given are four options and we have to select the one which form a straight angle.

The given options are

A. Vertical Angles ... Vertical angles are formed when two lines intersect and hence cannot combine to form a straight angle. Incorrect option.

B. Supplementary Angles ... Supplementary angles are a pair of angles which add upto 180 degrees and hence they form a straight angle. Correct option

C. Complementary Angles ... These pair add up to 90 degrees and cannot combine to form a straight angle. .. Incorrect

D. Linear Pair ... A linear pair is a pair of angles formed on a straight line and hence correct option.

Ulleksa [173]3 years ago

3 0

Answer:

The answer to this is B, because supplementary angles sum up to 180 degrees, which means it is a straight angle.

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

I will mark you brainliest!<br><br> find the unit rate to determine the equation of the line

Inessa [10]

Answer:

Unit rate : ( y =2x)

I hope im right!

5 0

3 years ago

Read 2 more answers

Please help thxxx i will give brainly