Answer:
FG = 18
Step-by-step explanation:
FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
= 
( cross- multiply )
54x = 24(x + 10)
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Then
FG = x + 10 = 8 + 10 = 18
There are 10 juice boxes in the cooler altogether.
2 of them are grape.
The first time Jill pulls one out with her eyes closed,
the probability that it's a grape is
2 / 10 .
If that try is successful, then there are 9 boxes left in the cooler,
and one of them is grape.
If she already has one grape, and reaches in again with her eyes
closed, the probability of pulling out the second grape is
1 / 9 .
The probability of both events happening in two tries is
(2/10) x (1/9) = 2/90 = 1/45 = (2 and 2/9) percent .
Answer:
x = - 100
Step-by-step explanation:
Given
+ 6 = - 14 ( subtract 6 from both sides )
= - 20
Multiply both sides by 5 to clear the fraction
x = 5 × - 20 = - 100
Answer:
36
Step-by-step explanation:
Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!
Answer:
25
Step-by-step explanation:
Substitute 7 into 2, and 11 into y.
2(7)+(11)
14+11
25
