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AnnZ [28]
3 years ago
5

You are baking a cake. The recipe asks for \frac{3}{5} 5 3 ​ cup of butter and you want to make \frac{1}{5} 5 1 ​ of the origina

l recipe. How many cups of butter will you need?
Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

3/25 cup of butter

Step-by-step explanation:

You are baking a cake. The recipe asks for 3/5 cup of butter and you want to make 1/5 of the original recipe.

The calculation for the above question is given below:

1 recipe = 3/5 cup of butter

1/5 recipe = x

Cross Multiply

x × 1 recipe = 1/5 recipe × 3/5 cup of butter

x = 1/5 recipe × 3/5 cup of butter /1 recipe

x = 3/25 cup of butter

Therefore, you will need 3/25 cup of butter

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Answer:

  27

Step-by-step explanation:

  (f\circ g)(x)=f(g(x))\\\\(f\circ g)(2) = f(g(2)) = f(2\cdot 2+3) = f(7)\\\\=4\cdot 7-1=\boxed{27}

8 0
4 years ago
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Georgia [21]
<h3>Answer: C) ASA Theorem</h3>

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Explanation:

Let's go through the answer choices one at a time.

  • A) The AA postulate is only used for similar triangles, and not congruent triangles. We need information about at least one pair of sides. Using the angles only isn't enough. We can rule out choice A.
  • B) The HL postulate only applies to right triangles. These triangles are acute triangles, so we can rule out choice B.
  • C) This is the answer as we can rule out choice D, so this is the only thing left. Also, if we know that angle A = angle A'' and angle B = angle B'', then we could use the ASA theorem to prove the triangles congruent.
  • D) This is not a valid congruence theorem. This is because we could have ambiguous cases that arise and lead to confusion. Also, it is possible that if we know two sides and a non-included angle, then a triangle may not be able to be formed. It will depend on the angle and side values. Therefore, we can rule out choice D.
3 0
3 years ago
Write Which congruence theorem is used and also write a congruency statement
kirill [66]

Answer:

SAS, Triangle ABC is congruent to triangle DEF.

Step-by-step explanation:

We name triangles with a triangle symbol and in alphabetical order. To write a statement, name each triangle and place a congruent sign between them.

To determine what postulate, look at the arrangement of congruent parts which is side-angle-side. This is SAS.

6 0
3 years ago
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Which graph shows the function<br> 4y - x= 0?
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Answer:

y=x/4

Step-by-step explanation:

add x to the other side of your equation so: 4y = x

now divide both sides by 4 so your y is isolated: y=x/4

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Step-by-step explanation:

b.

g(-3) = (-3)²+1 = 9+1 = 10

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