The point where the two diagonals meet is also the midpoint of both diagonals.
This means that AE = EC . Since we have the value for both segments, we have

Since AC = AE + EC, we have

Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
the ratio is 24:30
or the simplified version is 4:5
Answer: w= 98
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
3y + 6 ÷ 2x = 3(4) + 6 ÷ 2(3) = 12 + (6 ÷ 6) = 12 + 1 = 13