Answer:
18
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7
Divide the amount of marbles by 7 to find the value of one part of the ratio
42 ÷ 7 = 6 ← value of 1 part of the ratio, thus
red marbles = 3 × 6 = 18
There are 8 women and 3 awards. 8×3=24. B. 24 Ways.
Line segment AB is 4 units
Line segment CD is

Line segment MN is 6 units
Line segment PQ is 7 units
The line segment of greatest length is PQ
Maggie did apply the communitive property correctly because she ordered the numbers in a different order but has the same value.

<h3><u>Given </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u><u> </u><u>Robin </u><u>is </u><u>flying </u><u>a </u><u>kite</u><u>. </u>
- <u>She </u><u>ties </u><u>the </u><u>5</u><u>0</u><u> </u><u>foot </u><u>kite </u><u>string </u><u>to </u><u>the </u><u>ground </u><u>.</u>
- <u>The</u><u> </u><u>kite </u><u>is </u><u>flying </u><u>at </u><u>4</u><u>0</u><u> </u><u>feet </u><u>high </u>
<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>measure </u><u>of </u><u>the </u><u>angle </u><u>the </u><u>string </u><u>forms </u><u>with </u><u>the </u><u>group </u><u>that </u><u>is </u><u>angle </u><u>of </u><u>elevation</u><u>. </u>
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
<u>According </u><u>to </u><u>the </u><u>given</u><u> </u><u>question</u><u>, </u>
- Hypotenuse AC ( Distance of string from the ground) = 50 ft.
- Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.
<h3><u>Therefore</u><u>, </u></h3>
<u>By </u><u>using </u><u>trigonometric </u><u>ratios</u><u>,</u><u> </u>
{ 

}
<u>The </u><u>Angle </u><u>of </u><u>elevation </u><u>will </u><u>be </u>
<u>[</u><u> </u><u>The </u><u>angle </u><u>that </u><u>is </u><u>formed </u><u>between </u><u>the </u><u>line </u><u>of </u><u>sight </u><u>and </u><u>base </u><u>of </u><u>the </u><u>triangle </u><u>is </u><u>called </u><u>angle </u><u>of </u><u>elevation </u><u>]</u>





Hence, The measure of the angle the string forms with the ground is 45.83° .