A)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12
Hope this helps :)
Given:
ΔABC
ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.


Do cross multiplication.


Add 192 on both sides.


Subtract 24x from both sides.


Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Method 1:
4(754)
=4(700+50+4)
=2800 + 200 + 16
=3000+16
=3016
-----------------
Method 2:
4(754)
=4(250+250+250+4)
=1000+1000+1000+16
=3016
175 pairs of skates are rented for 7 hours.
Step-by-step explanation:
Given,
Pairs of skated rented each hour = 25
Let,
Number of hours = h
Total pairs rented = T
T = Pairs rented each hour * number of hours
T = 25h
Evaluate the expression for 7 hours.
h = 7

175 pairs of skates are rented for 7 hours.
Keywords: multiplication, linear expression
Learn more about multiplication at:
#LearnwithBrainly