X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
20/x
Step-by-step explanation:
speed = distance /time
x km/h is speed
20 km is distance
x= 20/t
t= 20/x
Find the minimum, first quartile, median, third quartile, and maximum of each data set, 12, 10, 11, 7, 9, 10, 5
Sliva [168]
To find the median:
Least to greatest order:
5, 7, 9, 10, 10, 11, 12
10 is the number in the middle. Therefore the median is 10
Answer:
59
Step-by-step explanation:
The equation is
944 - 5x = 1180 - 9x
Notice what is being said. You start with 944 gallons and take off 5 per week
You also start with 1180 gallons and take on 9 per week.
You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.
Add 9x to both sides
944 - 5x + 9x = 1180
944 + 4x = 1180
Subtract 944 from both sides.
4x = 1180 - 944
4x = 236
Divide by 4
x = 236/4
x = 59 weeks
Answer:106
Step-by-step explanation:
Let number of white marbles be w
Let number of red marbles be r
w+r = 126---------1
w = 6 +5r-----------2
Put eqn 2 in eqn 1
6+ 5r + r = 126
6 + 6r = 126
6r = 120
r = 20
w = 6 +5r =6+100
= 106
