<span>The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides </span>⇒
<span>
10/12 = (3x+2)/(5x-0.4)
10(5x-0.4) = 12(3x+2)
50x - 4 = 36x + 24
50x - 36x = 24 + 4
14x = 28
x = 28/14
x = 2
QS = 3x + 2 = 3*2 + 2 = 6 + 2 = 8
SR = 5x - 0.4 = 5*2 - 0.4 = 10 - 0.4 = 9.6
Answer is QS=8, SR=9.6
</span><span>
</span>
Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x = 
f(x) = 6x² + 11x - 3
f(
) = 6(
)² + 11(
) - 3
= 6(
) +
- 3
=
+
- 
= 
= 4
Answer:
4
Step-by-step explanation:
THE CORRECT ANSWER IS B
Answer:
x = 6.
Step-by-step explanation:
Because the the 2 angles are equal
4 / (x + 2) = 3 / (9-3)
4/(x+2) = 3/6
4 / (x + 2) = 1/2
x + 2 = 4*2 = 8
x = 8 - 2 = 6.