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igomit [66]
3 years ago
13

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

Mathematics
2 answers:
Cloud [144]3 years ago
5 0

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\

so

pt = 4x + 5 \\  = 4(3) + 5 \\  = 12 + 5 \\ pt = 17

o-na [289]3 years ago
4 0

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

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\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end

Long story short ,

\mathrm{The\:solution\:for\:Long\:Division\:of}\:\\\frac{1032}{4}\:\mathrm{is}\\\:258\:\mathrm{with\:remainder\:of}\:0

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