9514 1404 393
Explanation:
The correct order of the steps is ...
- (Given)
- (Definition of supplementary)
- (Substitution)
- (Subtraction ...)
- (Definition of congruent angles)
A proof always starts with "given". It always ends with a statement of what you have proved.
To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be 
and 
.
The height of the box will be 
.
The volume of box will be area of base times height.
Now we will use FOIL to simplify our expression.
Now we will distribute x.
Therefore, the volume of the box would be .
Answer:
1. $0.24
2. 89.2 miles
Step-by-step explanation:
To get the unit price, divide the total price by the amount that was purchased.
1. 3.12/13 = $0.24
For the second one, get the distance traveled per hour first then multiply by 8.
22.3 / 2 = 11.15
11.15 x 8 = 89.2
Answer:
sin70° = x/6
Step-by-step explanation:
When we draw out our picture and triangle, we should see that our angle is on the ground 70°, the height <em>x</em> is across from the angle and is the vertical leg up, and that our hypotenuse is equal to 6:
sin70° = x/6
What you would do is take the denominators and multiply them by each other, then multiply the numerators by that same number. So like 4/10 and 4/9. You would say, (denominators) 10x9=90 and (numerators) 4x9=36. So your first fraction would be 36/90. Next, you would take (denominators) 9x10=90 and (numerators) 4x10=40. So your second fraction would become 40/90. Now it's a lot easier to compare. 36/90 < 40/90 would be the answer to my problem. I hope I helped!
