Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:

c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides

To determine z:
4 = √(z^2 + 3^2)
z = 2.65

To determine x:
12 = √(x^2 + 6^2)
x = 10.39

7 0

4 years ago

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In order to burn calories and lose weight, Vera is trying to incorporate more exercise into her busy schedule. She has several s

mel-nik [20]

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

8 0

3 years ago