Answer:
Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.
Step-by-step explanation:
Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:
1 square yard = 1296 square inches
14 x 11 x 13 = X
154 x 13 = X
2.002 = X
2.002 / 1.296 = 1.54
Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.
1/2 of 3/4 means 1/2 × 3/4 which equals to 3/8
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Answer:
1. 128
2. 52
3. 47
4. 133
5. 81
Step-by-step explanation:
1. <1 and <52 are same side interior angles, therefore supplementary. So they should add up to equal 180, this means that <1 is 180 - 52. Solve to get <1 is 128
2. <2 is an alternate interior angle to <52, this means that they are congruent. Since they are congruent, they have the same value of 52.
3. <3 is an alternate interior angle to <47, so they are congruent, this means that they both have a value of 47
4. <4 is supplementary to <3 so you can say that <4 is equal to 180 - 47. Solve this to get <4 is 133
5. <5, <52, and <47 are supplementary when you combine all three. So you can create an equation that says <5 is equal to 180 - 52 + 47. This gives you that angle 5 is 81.