Answer:
m=4
Step-by-step explanation:
4m-4-8=-2m+12
Combine like terms
4m-12 = -2m +12
Add 2m to each side
4m+2m -12 =-2m +2m+12
6m-12 = 12
Add 12 to each side
6m-12+12 =12+12
6m =24
Divide by 6
6m/6 =24/6
m =4
Answer:
The scale factor is 2
x=11 units
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The ratio of its corresponding sides is called the scale factor
In this problem
Triangles RST and MNO are similar
so
substitute the given values
solve for x
The scale factor of triangle RST to triangle MNO (enlargement) is equal to 2
Answer:
4200
Step-by-step explanation:
Time taken by Lester 30 seconds
Time taken by Ralph = 35 seconds
Their rate :
Lester = 1/time taken = 1/30
Ralph = 1/ time taken = 1/35
Combined rate:
1/30 + 1/35 = (35 + 30) / 1050 = 65 / 1050 = 0.0619047 per boot
Time taken = number of boots / combined rate per boot
Time taken = 260 / 0.0619047
Time taken = 4200 seconds
Answer:
monomials have 1 term
Step-by-step explanation:
.
Answer:
x = 20.
Step-by-step explanation:
37x + 16 = 6(6x + 6)
Distribute.
37x + 16 = 36x + 36
Subtract 36x from both sides.
x + 16 = 36
Subtract 16 from both sides.
x = 20.
The solution is 20.
Proof
37x + 16 = 6(6x + 6)
37(20) + 16 = 6(6(20) + 6)
740 + 16 = 6(120 + 6)
756 = 6(126)
756 = 756.