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pashok25 [27]
3 years ago
14

In △QRS, QR¯¯¯¯¯¯¯¯ has been bisected at point T, and TU¯¯¯¯¯¯¯ has been drawn such that U is the point of intersection of TU¯¯¯

¯¯¯¯ and RS¯¯¯¯¯¯¯. Which statement must be true in order to prove that TU=12QS?(1 point)
∠RTU≅∠RUT

∠TQS≅∠RUT

∠RTU≅∠TQS

∠TQS≅∠USQ
Mathematics
1 answer:
Allushta [10]3 years ago
5 0

9514 1404 393

Answer:

  ∠RTU≅∠TQS

Step-by-step explanation:

To show TU ║ QS, the angles made by transversal RQ with each of those segments must be shown to be congruent. That is, it must be true that ...

  ∠RTU≅∠TQS

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Rasek [7]

x = number of packages he bought

y = number of popsicles in each package

Here are the two equations:

xy = 54

x = 3 + y

Using the substitution method, you can solve them to find x and y.

(3 + y)y = 54,

3y + y^2 = 54

y^2 + 3y - 54 = 0

Solve the quadriatic equation:

(y +9)(y - 6) = 0

y = -9, 6.

Plug y into: xy = 54

x(-9) = 54, x = -6.

x(6) = 54, x = 9.

So he bought 9 packages of popsicles, bc you can't bye -6 packages.

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