Answer:
No, because they do not have the same area.
Step-by-step explanation:
For the piece of paper to cover once without overlap or gaps, it must have the same area as the the total surface area of the prism.
The total surface area of the rectangular prism is:
The area of the rectangular sheet is:
Since the area of the piece of paper is more than the surface area of the rectangular prism there will be an overlap.
Answer:
6. X=6
7. x=16 and y=11
Step-by-step explanation:
6. If UW bisects angles m<TUW=(13x-5) and m<WUV=(7x+31), find the value of x
To solve we need set both equations equal to each other
13x-5=7x+31
now we need to get both constants (numbers with out variables for example: 1) alone on one side and Variables alone on one side.
you want to look at the equation and see which one is easier to do first. I see that the most easiest way is to move -5 to the left side. to do so we need to add 5 to both sides.
13x-5=7x+31
+5 +5
13x=7x+3+5
Add 31 and 5 together since there both constants
31+5=36
13x=7x+36
now we need to move 7x to the right side. to do so we need to subtract 7x on both sides.
13x=7x+36
-7x -7x
13x-7x=36
now we need to subtract 7x from 13x since they are liked terms
13x-7x= 6x
6x=36
now we need to isolate x To do so we need to divide by 6 on both sides.
6x=36
--- ---
6 6
x=6
If m<DEG=(5x-4), m<DEF(7x-8)m< DEH=(9y+5) find the values of x and y
Since DEF and DEG are congruent we can add then together to get our x value
congruent angles add up to 180
5x-4+7x-8=180
add 5x and 7x
add -4 and -8
12x-12=180
ISOLATE X
Add 12 on both sides
12x=192
now we need to divide 12 on both sides
12x/12= x
192/12=16
x=16
DEF AND DEH are Vertical opposite meaning they add up to each other. they both have the same degree.
so
9y+5=7x-8
PLUG IN X=16
9y+5=7(16)-8
7*16=112
112-8 =104
9y+5=104
ISOLATE VARIABLE Y
subtract 5 on both sides
9y=99
now divide by 9 on both sides
9y/9=y
99/9=11
y=11
