Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
To find 1/10 of a number you need (1/10)*number, or number/10
number/10=0.0003
number=0.0003*10=0.003
Ok so first add all the percentages which equals 95% than we have to find 95 percent of 75 which tells us that that is 71 so 71 students voted.
Answer:
CD=14
DE=21
Step-by-step explanation:
ΔCDE is similar to ΔFNE (∠E≅∠E, ∠NFE≅∠DCE) by AA similarity
Using Thales' Intercept Theorem Corollary, you know that:
EN/ED=EF/EC=NF/CD=12/20
Let DN be 8x and NE be 12x
Let NF be 12y and CD be 20y
Then you have a system of equations:
20x+20y+20=55
8x=12y
By solving them, you get y=0.7 and x=1.05⇒
DE=21 and CD=14
