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vovikov84 [41]
3 years ago
5

In triangle XYZ, an exterior angle to angle X had measure 100° and an exterior angle to angle Z has measure 120°. Which side of

triangle XYZ is the longest?
Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

Side YZ is the longest

Step-by-step explanation:

The longest side is across from the largest angle.

Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.

Angle X is across from size YZ, so that's the longest

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Answer:

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Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

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The other expresses the limit on volume.

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<u>Feasible Region vertex</u>

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

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The second boundary line equation can be rearranged to find c:

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The nearest integer numbers to these values are ...

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The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

<u>Check of Integer Solution</u>

Trying these in the constraint inequalities gives ...

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<u>Selection of the Answer</u>

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

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The values of p at the vertices are ...

  p = 13·233 + 6·467 = 5831

  p = 13·0 + 6·840 = 5040

  p = 13·350 + 6·0 = 2100

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