Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
Answer:
no solution
Step-by-step explanation:
2w + 7 = 2(w + 5) - 8
Distribute
2w+7 = 2w+10-8
Combine like terms
2w+7 = 2w+2
Subtract 2w from each side
7 = 2
This is never true so there is no solution
Step-by-step explanation:
By Remainder Theorem, f(5) = 91.
=> (5)³ - 4(5) + k = 91
=> 125 - 20 + k = 91
=> 105 + k = 91
=> k = -14.