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mariarad [96]
2 years ago
5

T is the midpoint of PQ. PT = 7x +4 and TQ = 9x- 6 PT=​

Mathematics
2 answers:
Alex17521 [72]2 years ago
6 0

9514 1404 393

Answer:

  PT = 39

Step-by-step explanation:

T is the midpoint, so the two segments are equal to each other:

  PT = TQ

  7x +4 = 9x -6

  10 = 2x . . . . . . . . . subtract 7x-6

  5 = x

PT = 7(5) +4 = 39

bulgar [2K]2 years ago
5 0

Answer:

given \: that \: t \: is \: the \: mid \: point \\ so \: pt = tq \\ 7x + 4 = 9x - 6 \\ x \: terms \: togather \\ 9x - 7x = 4 + 6 \\ 2x = 10 \\ x =  \frac{10}{2}  = 5pt= 7×5+4=35+4=39\\ thank \: you

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A box has twice as many grapes as a basket. Once 2kg of grapes were added to the basket, it contained 0.5 kg more than the box.
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By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.

<h3>How many kilograms of grapes are in the basket now?</h3>

Let's define the variables:

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We know that:

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When we add 2kg to the basket, it has 0.5k more than the box, then:

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