Answer:
The answer is y=24
Step-by-step explanation:
The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>
<em>:2x. </em>Since we know that the 30 degree value is 8
, we can establish that the 60 degree value is 8
*
= 24.
Step-by-step explanation:
3x-5=8x-60
55=5x
x=11
The best way to find it is to reduce each ratio you work with to its
lowest terms,and see which ones are equal. To reduce a ratio to its
lowest terms, divide each number by their greatest common factor.
First, the one that you're trying to match: <u>49:35</u> .
The greatest common factor of 49 and 35 is 7 .
Divide each number by 7 . . . <em>7:5</em> . . . <u>that's</u> what you have to match.
<u>7:4</u>
Their greatest common factor is ' 1 '.
No help at all, and this one is not it.
<u>14:25</u>
Again, their greatest common factor is '1 '.
No help at all, and this one is not it.
<u>21:15</u>
Their greatest common factor is ' 3 '.
Divide both numbers by 3 . . . <em>7:5 </em>.
That's it !
x = 130 is your answer
130 - 20 = 110
Since line E and F are parallel and are straight lines, we know both angles will add up to 180°
110 + 70 = 180