Answer:
The value of x is 49 and the value of AB is 90
Step-by-step explanation:
You know that AB and DE are congruent. That information is given to you.
You set the equations equal to each other and then solve.
2x - 8 = x + 38
Subtract x
x - 8 = 38
Add 8.
x = 49
Plug back into 2x - 8 to find the value of AB
2 times 49 - 8
98 - 8
90
Answer:
10:1
Step-by-step explanation:
The lines that intersect at Park Avenue and Hawthorne Boulevard are perpendicular to each other because they intersect at a 90 degree angle.
Answer: each of the workout plans lasts for 0.75 hours
Step-by-step explanation:
Let x represent the amount of time that plan A lasts.
Let y represent the amount if time that plan B lasts.
On Wednesday there were 7 clients who did Plan A and 9 who did Plan B. Mary trained her Wednesday clients for a total of 12 hours. This means that
7x + 9y = 12 - - - - - - - - - - -1
On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Mary trained her Thursday clients for a total of 6 hours. This means that
5x + 3y = 6 - - - - - - - - - - - -2
Multiplying equation 1 by 5 and equation 2 by 7, it becomes.
35x + 45y = 60
35x + 21y = 42
Subtracting, it becomes
24y = 18
y = 18/24 = 0.75
Substituting y = 0.75 into into equation 1, it becomes
7x + 9 × 0.75 = 12
7x + 6.75 = 12
7x = 12 - 6.75 = 5.25
x = 5.25/7 = 0.75