For this case by similarity of triangles we can use the following relationship:
(x) / (9) = (5) / (15)
We clear the value of x:
x = ((5) / (15)) * (9)
Rewriting:
x = (1/3) * (9)
x = 3
Answer:
The value of x for this case is:
x = 3
Answer:
A. 520 square inches is your surface area of the rectangular prism
It would be 9 inches squared, hope this helps!
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
Find the pattern for every 8 years and you have your answer.
