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Zigmanuir
3 months ago
9

Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y ar

e congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32. How can the triangles be proven similar by the SAS similarity theorem? Show that the ratios StartFraction X Y Over V U EndFraction and StartFraction Y Z Over V W EndFraction are equivalent, and ∠U ≅ ∠X. Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y. Show that the ratios StartFraction U W Over Z X EndFraction and StartFraction X Y Over W V EndFraction are equivalent, and ∠W ≅ ∠X. Show that the ratios StartFraction X Z Over W U EndFraction and StartFraction Z Y Over W V EndFraction are equivalent, and ∠U ≅ ∠Z.
Mathematics
2 answers:
Inessa [12.5K]3 months ago
6 0

Response:

B. Demonstrate that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are the same, and that ∠V is congruent to ∠Y.

AnnZ [12.3K]3 months ago
4 0

Answer:

The answer is B on edg

Step-by-step explanation:

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A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
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Answer:

The upper limit for the height of the prism is 12\ m

Step-by-step explanation:

Let

x------> represent the height of the prism

It is known that

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thus

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Insert equation B into equation C

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Substituting equations B and D into inequality A

(x-3)*(x-9)\leq 27-------> using a graphing tool to solve the inequality

The resultant solution for x lies in the interval---------->[0,12]

consult the attached figure

but bear in mind that

The width of the base must be 9 meters shorter than the height of the prism

thus

the solution for x is confined to the interval ------> (9,12]

The maximum height of the prism equals 12\ m

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