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3 years ago

1. ∠ PRS and ∠ RPQ are right angles

Mathematics

2 answers:

Blababa [14]3 years ago

7 0

Answer:

Given : PS = QR

∠PRS = ∠RPQ

PR = PR (On the same base)

Proof / Reason :

∠PRS = ∠RPQ (R)

PS = QR (H)

PR = PR (S)

Therefore, Triangle PRS is congruent to Triangle RPQ

∠PSR = ∠RQP By C.P.C.T. ( Congruent Parts Of Congruent Triangles)

Thanks!

natima [27]3 years ago

7 0

Answer:

the other answer is wrong. that is not the correct answer. dont give it a 5 star and dont like it.

Step-by-step explanation:

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Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

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Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

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Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

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Step-by-step explanation:

Step 1: Define

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$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$