Answer:
1. QR- PT given
2. <QPR=<STR given
3. <QRP and <SRT (are right angles) def. of perpendicular
4. <QRP = <SRT all right angles are =
5. PQR~ TSR AA similarity theorem
Step-by-step explanation:
edge 2021
Answer:
3.1 miles
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Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The derivative of the function f(x)=20(√x)-(x²⁰/2) is (10/√x)-10x¹⁹.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as,
![f(x)=20\sqrt{x}-\dfrac{x^{20}}{2}](https://tex.z-dn.net/?f=f%28x%29%3D20%5Csqrt%7Bx%7D-%5Cdfrac%7Bx%5E%7B20%7D%7D%7B2%7D)
![\dfrac{dy}{dx} = 20\dfrac{d}{dx}\sqrt{x}-\dfrac12\dfrac{d}{dx}x^{20}\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%2020%5Cdfrac%7Bd%7D%7Bdx%7D%5Csqrt%7Bx%7D-%5Cdfrac12%5Cdfrac%7Bd%7D%7Bdx%7Dx%5E%7B20%7D%5C%5C%5C%5C)
![\dfrac{dy}{dx} = \dfrac{10}{\sqrt{x}}-10x^{19}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cdfrac%7B10%7D%7B%5Csqrt%7Bx%7D%7D-10x%5E%7B19%7D)
Hence, the derivative of the function f(x)=20(√x)-(x²⁰/2) is (10/√x)-10x¹⁹.
Learn more about Expression:
brainly.com/question/13947055
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Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side
Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.
The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.
However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)
Just divide 14 by two to find out how old James is.
James is 7.