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timurjin [86]
3 years ago
5

Drag and drop a statement or reason to each box to complete the proof.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

The data observed from the triangle are given below.

Statement                         Reason

\overline{P Q} \cong \overline{P R}                          Given

Draw \overline{P M} so that M is the midpoint of QR.     Two points determine a line

\overline{Q M} \cong \overline{R M}                          Definition of midpoint

\overline{P M} \cong \overline{P M}                         Reflexive property of congruence

\triangle P Q M \cong \Delta P R M                SSS congruence postulate

\angle \mathrm{Q} \cong \angle \mathrm{R}                        CPCTC

SSS means side-side-side

CPCTC means corresponding parts of the congruence triangle are congruent.

Hence the given triangle is SSS congruence postulate

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Answer:

B: y = -2x + 5

Step-by-step explanation:

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Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

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Equating zero

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⇒      -4 x = -5

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<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

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