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likoan [24]
3 years ago
10

Mr.Scraps is serving ice cream with the birthday cake at his party.He purchased 19 and 1/2 pints of ice cream.He will serve 3/4

of a pint to each guest. How many guenst can be served ice cream Will there be any ice cream left? Justify answer
Mathematics
1 answer:
ehidna [41]3 years ago
3 0
19.5 / 0.75
=
26 people
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ale4655 [162]

Answer:

∠ 2 = 70°

Step-by-step explanation:

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Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is \frac{2}{3} of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, R is \frac{2}{3} of the distance from U to V, since the latter is the midpoint of the side opposite to U. We know this because R belongs to UV, so R must be QS's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

VR=\frac{1}{3} UV

Substituting VR = 18 into the equation gives us:

18=\frac{1}{3} UV

Solving for UV, we get:

18=\frac{1}{3} UV

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54=UV (Simplify)

UV=54 (Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

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