Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC =
(2x + 13) =
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
Answer:
40
Step-by-step explanation:
Divide: 55/22 = 0.4
Multiply: 0.4 * 100 = 40.
Answer:
300 students
Step-by-step explanation:
If 195 students is 65%, then we can divide 195 by 65 to find what 1% is.
195/65= 3
So 1% of the 8th grade class is 3 students. We want to know how many students are in the whole class, which would be 100% of the class.
If we multiply the 3 (which is 1%) by 100 (to get 100%) we can find the total number of students.
3x100=300
We can check this by finding 65% of 300, and seeing if that is 195.
300x.65=195
It does check out.