Answer:
14
Step-by-step explanation:
We see that MP and PL are congruent, as are MQ and QN. Using scale factors, we can conclude that the scale factor from MP to ML is 1:2.
Based on SAS similarity, MPQ and MLN are similar, so their sides are proportional.
Answer:
In 4 months the cost of both gyms will be the same.
Step-by-step explanation:
At first we need to model the function to calculate the cost of the 2 gyms.
Slope-intercept equation of linear function

where
slope of line
y-intercept
Let linear function to calculate total cost of gym be:

where
total cost of gym
cost per month (slope)
number of months
start-up fee (y-intercept)
For Gym 1
,

For Gym 2
,

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months 


So,
In 4 months the cost of both gyms will be the same.
Answer:
gradient = 
Step-by-step explanation:
calculate the gradient m using the gradient formula
m = 
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m =
=
=
= 
Answer:
12/5 or 2⅖
Step-by-step explanation:
2x/3 = 8/5
2x = 3 × 8/5
2x = 24/5
x = 24/5 ÷ 2
x = 12/5
Or 2⅖
If Marita has one dime, she has 0.10 = 1/10 dollars. If she has "x" times that many dimes, she has 0.10x = x/10 dollars (in dimes).
The only answer choice containing this term is ...
( A ) x/10 + 0.75 + 10y