Answer:
The answer to your question is: width = 3 meters
Step-by-step explanation:
Data
Perimeter = 16 meters
The room is 2 meters longer than its width, then length = width + 2
Perimeter = 2 length + 2 width
16 = 2(width + 2) + 2 width
16 = 2 width + 4 + 2 width
16 = 4 width +4
16 - 4 = 4 width
12 = 4 width
12/4 = width
3 = width
length = 3 + 2 = 5 meters
Answer:
-96
Step-by-step explanation:
15+11=26+7=33+(-129)=-96
There are 1,000 grams in a kilogram and she has two kilograms, so there are 2,000 grams. She eats 125 of them so you subtract 125 from 2,000 and you get 1875. She has 1875 grams left of grapes.
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
