Answer:the length of time he spent running is 8 minutes.
the length of time he spent swimming is 15 minutes.
Step-by-step explanation:
Let x represent the length of time he spent running.
Let y represent the length of time he spent swimming.
He exercised for a total of 23 minutes. This means that
x + y = 23
When running he burns 35 calories per minute, and when he swims he burns 30 calories per minute. He has burned 730 calories after exercising. It means that
35x + 30y = 730 - - - - - - - - - -1
Substituting x = 23 - y into equation 1, it becomes
35(23 - y) + 30y = 730
805 - 35y + 30y = 730
- 35y + 30y = 730 - 805
- 5y = - 75
y = - 75/ -5
y = 15
Substituting y = 15 into x = 23 - y, it becomes
x = 23 - 15 = 8
Answer:
Figures are objects that have the same shape, but may have different sizes.
X • (x-5) Add up the last 2 terms, pulling out common factors : 1 • (x-5) Step-5 : Add up the ... Step 2 :Theory - Roots of a product ... In other words, we are going to solve as many equations as there are terms in the product
I hope this help
Answer:
3. A quadrilateral with each side length 4 cm
Step-by-step explanation:
We need to understand what is a unique polygon?
<em>It means all regular polygons with the same number of sides are similar.</em>
1.A triangle with angles 30 degrees, 60 degrees, and 90 degrees
It is an right triangle, so the 3 sides are not simillar, so it is wrong
2. A triangle with side lengths 5 cm, 4 cm, and 3 cm
It is a triangle with the 3 sides are not simillar, so it is wrong
3. A quadrilateral with each side length 4 cm
It is an square with the 4 sides are simillar, so it is true
4. A triangle with side lengths 7 cm and 8 cm and a 40-degree angle
It is a triangle with the 3 sides are not simillar, so it is wrong
Hence, we choose 3.
