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.
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.
Answer:
C a dilation will always produce similar figures
Step-by-step explanation:
If the scale factor is >1 then the figure will get larger
< 1 the figure gets smaller
=1 it is congruent
We can rotate the figure but that is not by dilation. dilation does not change the orientation, unless the scale factor is negative( which is a reflection)
Answer:
Step-by-step explanation:
some rules of logarithmic function
vice-versa 
If ㏑(a) = ㏑(b), then a = b
∴ 
Use the 2nd rule to simplify it
2㏑(2x) - ㏑(10x) = ㏑(30)
Use the 3rd rule in the 1st term
∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)
∴ ㏑(4x²) - ㏑(10x) = ㏑(30)
- Use the 1st rule with the left hand side
Use the 4th rule
Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75
Answer:
Each person will get 3/20 of the bag of candies
Step-by-step explanation:
3/5 divided by 4 = 3/5 * 1/4 = 3/20
Please mark as brainliest if the answer is correct!
Also, feel free to tell me if my answer is wrong, or you have more questions. :D
