Answer:
Step-by-step explanation:
Q. 17
Verticle angles are congruent
(6x+7) = (8x-17)
-6x from both sides
7 = 2x-17
add 17 to both sides
2x = 24
divide 24 by 2
x = 12
Q. 18
Linear pair = 180
(11x-15) + (5x-13) = 180
11x + 5x - 15 - 13 = 180
16x - 28 = 180
Add 28 to both sides
16x = 208
Divide 16
x = 13
Answer:each session of body sculpting workouts burns 51 calories.
Each session of Yoga workouts burns 83 calories.
Step-by-step explanation:
Let x represent the number of calories that she burnt doing one body sculpting workout session.
Let x represent the number of calories that she burnt doing one Yoga session.
Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that
2x + 5y = 517 - - - - - - - - - -1
This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that
2x + y = 185 - - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
4y = 332
y = 332/4 = 83 calories
Substituting y = 83 into equation 2, it becomes
2x + 83 = 185
2x = 185 - 83 = 102
x = 102/2 = 51 calories
Answer:
No extra pieces.
Step-by-step explanation:
Given:
Total number of foot board = 3
Equally divided into = 1/2
Question asked:
How many extra pieces will I have = ?
Solution:
By dividing 3 by 1/2 we can find the extra pieces.
= 
= 
= 
Since, the remainder is zero, thus there is no any extra pieces I have.
Use substitution
Plug in 5x for y
5x = 2x - 15
Subtract 2x
3x = -15
Divide by 3
x = -5, y = -25
Solution: (-5, -25)
Answer:
0, -11
Step-by-step explanation:
y-4=-3(x-(-5))
y-4=-3x-15
y=-3x-15+4
y=-3x-11 the ordered to the origin is -11
the y-intercept is at the point (0, -11)
Hope this helps
