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zavuch27 [327]
3 years ago
5

Zoe's mom is making super hero capes for the guests at her little brother's birthday party. Each cape uses of a yard of fabric.

Her mom bought a total of 10 yards of fabric. Part A: How many complete capes will Zoe's mom be able to make with the amount of fabric she bought? Part B: Making 1 cape takes Zoe's mom 12 minutes. Using the number of capes you found in Part A, how many total minutes will she spend making capes?
Mathematics
1 answer:
kumpel [21]3 years ago
3 0

Answer:

Part A: 10 complete capes.

Part B: 120 minutes.

Step-by-step explanation:

Part A:

Given:

Amount of fabric required for 1 cape is 1 yard.

Total amount of fabric bought by Zoe's mom are 10 yards.

Using unitary method,

∵Number of capes made from 1 yard fabric = 1

∴ Number of capes made from 10 yard fabric = 10\times 1=10

Part B:

Given:

Time taken to make 1 cape is 12 minutes.

Using unitary method,

∵Time taken to make 1 cape = 12 minutes.

∴ Time taken to make 10 capes = 12\times 10=120 minutes.

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Answer:

1. Given

2, Exterior sides on opposite rays

3. Definition of supplementary angles

4. If lines are ||, corresponding angles are equal

5. Substitution

Step-by-step explanation:

For the first one, it is given as shown in the problem. Also in the figure you can see that line s is parallel to line t.

2. ∠5 and ∠7 are adjacent, they share a common side. Their non-common side are rays that go in a direction opposite of each other. Also you can see that they form a straight line, which means that they are supplementary.

3. Supplementary angles simply put are angles that sum up to 180°. You know this for sure because of proof 2, specifically the part that they form a straight line. The measure of a straight line is 180°.

4. Corresponding angles are congruent. These are angles that have the same relative position when a line is intersected by parallel lines. You have other example in the figure like ∠2 and ∠6; ∠3 and ∠7.

5. This is substitution because ∠1 substituted ∠5 in this case. Since ∠1 is equal to ∠5, then it can substitute it in the equation given in step 3. This means that ∠1 and ∠7 are supplementary as well.

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