The expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s
<h3>What is the perimeter?</h3>
The formula for perimeter of a triangle is expressed as;
Perimeter = a + b + c
Where a , b and c are the lengths of its side
Now, let's substitute the values
Perimeter = (q + r) + (5q - 10s) + (5s - 7r)
expand the bracket
Perimeter = q + r + 5q - 10s + 5s - 7r
collect like terms
Perimeter = q + 5q + r - 7r -10s + 5s
Add like terms
Perimeter = 6q - 6r - 5s
Thus, the expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s
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Add the like terms. So I'll add the variables. 8x+6x is 14x. Now add whole numbers. 30+10 is 40. Our new expression we'll be 14x+40=180. Subtract 40 from 180. 180-40=140. Now we have the expression 14x=140. 140 divided by 14 is 10. So x is 10.
Bear in mind that the area of a "parallelogram" is base * height.
notice the picture, the front and back parallelograms, have an altitude/height of 3 cm, and a base of 8 cm, so the area of one of those two is 3*8.
as far as the left and right parallelograms, they have a base of 7 cm, but the altitude is also 3 cm, so the area of one of those is 3 *7.
bear in mind the altitude/height is the distance from the base to the top, and in this case is just 3 cm.
anyway, you have 4 parallelograms, get the area of each, add them up, and that's the surface area of the figure.
2(3*8) + 2(3*7).
Answer:
terrance then mike then nathan
Step-by-step explanation:
1. 2√2
2. √5
3. 5√3
4. 10
5. 4√2
6. 3√5
7. 4√3
8. 5√5
9. 3√2
10. 3√3
11. 4
12. 6
13. 5√2
14. 2√3
