Answer:5
Step-by-step explanation:y equal 5
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the triangle proportionally.
The base segment to the right of the bisector is 6-x, so we can write the proportion ...
x/6 = (6-x)/4
Multiplying by 12, we get ...
2x = 3(6 -x)
5x = 18 . . . . . add 3x
x = 18/5 . . . . divide by 5
x = 3.6
_____
<em>Alternate solution</em>
Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:
left-part / sum-of-both-parts = x/6 = 6/(6+4)
Then the solution is x = 6(6/10) = 36/10 = 3.6.
Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."
Answer:
4/pi=w-6/pi
<u>4</u><u> </u><u> </u><u> </u>=<u> </u><u>w</u><u>-</u><u>6</u>
<u>Pi</u><u> </u><u> </u><u> </u><u> </u><u> </u><u>pi</u>
Cross mutiply
Pi(w-6)=4(pi)
Wpi - 6pi =4pi
Collect like terms
Wpi=4pi + 6pi
Wpi =10pi
<u>Divide</u><u> </u><u>both</u><u> </u><u>sides</u><u> </u><u>by</u><u> </u><u>pi</u>
<u>Wpi</u><u> </u>= <u>10pi</u>
Pi pi
W = 10
The answer is B.
Hope it helps!
