Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
4x+3y=19 and 6x-5y=-57
eliminate
multiply first equation by -6 and 2nd by 4
and add them
-24x-18y=-114
<u>24x-20y=-228 +</u>
0x-38y=-342
-38y=-342
divide both sides by -38
y=9
sub back
4x+3y=19
4x+3(9)=19
4x+27=19
minus 27 both sides
4x=-8
divide 4
x=-2
(x,y)
(-2,9)
Angles:
2 acute angles and 2 obtuse angles
Sides:
2 pairs pf parallel sides
Rotation. it’s rotating 180 degrees since it gets reflected twice
A. 5,273
Hope this helps you