Explanation:
that is a college question ?
oh my ...
to clarify :
perpendicular means intersecting or touching at a right angle (90°).
bisector means it is a line that cuts the other line in half.
1.
because of the bisector this means DF = FC = DC/2.
so, since FC = 17, so is DF (=y) = 17.
2.
for the same reason
2x - 3 = x + 8
x - 3 = 8
x = 11
the angle must be 90°.
so,
5y = 90
y = 18
3.
for the same reason
10 = 4a
a = 10/4 = 2.5
4.
for the given reasons of 1-3, this figure is a kite. that means the left side is a mirror image of the right side. so, all the lengths on one side are equation to the lengths of the other side.
x - 11 = 19
x = 30
5.
for the same reasons
3y + 5 = 26
3y = 21
y = 7
6.
the perimeter of EDP is then
EP + DP + ED = 19 + 19 + (9 + 9) = 56
because ED = EC + CD
and for the above reasons EC = CD = 9
so, ED = 9 + 9 = 18
7.
the perimeter of EDQ is then
EQ + DQ + ED = 26 + 26 + 18 = 70
8.
for the same reasons as above
x = 90°
9.
remember, the sum of all angles in a triangle is always 180°.
180 = 90 + 55 + y
y = 180 - 90 - 55 = 35°
10.
180 = y + M + z = 35 + (55+71) + z = 161 + z
z = 180 - 161 = 19°