Answer:
9. Triangle ABQ is congruent to Triangle BAP because of SAS congruency
10. x=5, y isn't shown anywhere
Step-by-step explanation:
9. The side AB is shared between the two triangles.
It is given that angle A and angle B are congruent.
It is given that AQ is congruent with BP.
Using these three, you can say that Triangle ABQ is congruent to Triangle BAP because of SAS congruency.
10. 7x-4=31 (given)
x=5
Do the same thing with y.
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:
Step-by-step explanation:
Find the unit rate for this painting:
3/5 of wall surface 3/5 15 9
------------------------------- = --------------- * --------- = -----------
(8/15) hour 8/15 15 8
Jane could actually paint the whole wall plus 1/8 more of it in one hour.
Answer:
divide amount by number of weeks.
156/13 = 12
$12