Answer:
18
Step-by-step explanation:
The arrows on lines AB and CD indicate that these 2 shapes are similar and these 2 lines are corresponding so :
Linear scale factor :
12 ÷ 10 = 1.2 or 6/5
Let's use the fraction form
Using the linear scale factor we can make an equation to solve for x :
2x+4 = 6/5(x+8)
Expand the brackets :
2x+4 = 6/5x + 9.6
Subtract 4 from both sides :
2x = 6/5x + 5.6
Subtract 6/5x from both sides :
4/5x = 5.6
Divide both sides by 4/5 :
x = 7
Now substitute this value into the expression for the length of AE :
AE = 2(7) + 4
AE = 14 + 4
AE = 18
Hope this helped and have a good day
Answer:
116 units
Step-by-step explanation:
AE + ED = 180 because they make a straight angle and a straight angle is 180 degrees or half of a circle 360/2.
AE = 2x + 4 and ED = x +8 added together they equal 180
2x + 4 + x + 8 = 180 Combine the like terms
3x + 12 = 180 Subtract 12 from both sides of the equation
3x = 168 Divide both sides by 3
x = 56
Now that we know that x is 56 we can plug that in for AE to find its length
2x + 4
2(56) + 4
112 + 4
116
