All categories

3 years ago

Note: Figure is not drawn to scale.

Mathematics

1 answer:

marishachu [46]3 years ago

6 0

The correct answer is A. 124°

Further explanation:

First of all we will have to define alternate interior angles.

"When two parallel lines are intersected by a traversal, the angles which are formed inside the parallel lines are called alternate interior angles"

In the given figure,

The alternate angles are:

m∠O and m∠X

m∠W and m∠P

We are given that m∠W is 124°.

The alternate angles' theorem states that the alternate angles are equal.

So through the theorem,

m∠W = m∠P = 124°

The correct answer is A. 124°

Keywords: Alternate angles, Parallel Lines

Learn more about parallel lines at:

#LearnwithBrainly

You might be interested in

Complete the table by filling in the elapsed tine. Help pls

Sav [38]

Answer:

RADIUS

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

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

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

#CarryOnLearning

7 0

2 years ago

Read 2 more answers

What’s the domain and range of y=x^2+2

denpristay [2]

Answer:

domain: all real numbers

range: {y element R : y>=2}

Step-by-step explanation:

7 0

3 years ago

Which fraction can be represented with a repeating decimal? 3/20 12/5 7/16 4/11

Dmitry [639]

Answer:

Thanks for asking!

Step-by-step explanation:

The answer would be 4/11. 3/20 in decimal form is 0.15. 12/5 is 2.4. 7/16 is 0.4375. 4/11 is 0.36 repeating.

8 0

3 years ago

Read 2 more answers

Can someone pls help me answer this :/

eimsori [14]

Answer:

y = - $\frac{3}{2}$ x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-6}{4-0}$ = $\frac{-6}{4}$ = - $\frac{3}{2}$

Since the line crosses the y- axis at (0, 6) ⇒ b = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

5 0

3 years ago

Simplify 14a over 15 Plus 2a + 36 over 5

Yuliya22 [10]

Answer:

(20a+108)/15

Step-by-step explanation:

First find LCM of the denominators. U will find it to be 15

Then calculate the number like this.

[(14a)×1/15×1]+[(2a+36)×3/5]

[(14a/15)]+[(6a+108)/15

(14a+6a+108)/15

(20a+108)/15

5 0

3 years ago