Answer:
8
Step-by-step explanation:
The interior angles of a triangle always add up to 180°.
As QE=ED=QD
so, ∠Q=∠E=∠D=180°/3=60°
As, ∠D=5x+20
60=5x+20
5x=40
x=8
Hope, this helps you.
For a function to be continuous at an x-value, say -17, you need to make sure two things line up:
The limit from the left equals the limit from the right.

This limit equals the functions value.

The left hand limit involves the first piece, f(x) = 20x + 1:
![\begin{aligned} \lim_{x \to -17^{-}} f(x) &= \lim_{x \to -17^{-}} (20x+1)\\[0.5em]&= 20(-17)+1\\[0.5em]&= -339\endaligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Clim_%7Bx%20%5Cto%20-17%5E%7B-%7D%7D%20f%28x%29%20%26%3D%20%20%5Clim_%7Bx%20%5Cto%20-17%5E%7B-%7D%7D%20%2820x%2B1%29%5C%5C%5B0.5em%5D%26%3D%20%20%2020%28-17%29%2B1%5C%5C%5B0.5em%5D%26%3D%20%20%20-339%5Cendaligned%7D)
The right hand limit invovles the second piece, f(x) = -10x^2:
![\begin{aligned} \lim_{x \to -17^{+}} f(x) &= \lim_{x \to -17^{+}} (-10x^2)\\[0.5em]&= -10\cdot (-17)^2\\[0.5em]&= -2890\endaligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Clim_%7Bx%20%5Cto%20-17%5E%7B%2B%7D%7D%20f%28x%29%20%26%3D%20%20%5Clim_%7Bx%20%5Cto%20-17%5E%7B%2B%7D%7D%20%28-10x%5E2%29%5C%5C%5B0.5em%5D%26%3D%20%20%20-10%5Ccdot%20%28-17%29%5E2%5C%5C%5B0.5em%5D%26%3D%20%20%20-2890%5Cendaligned%7D)
Since the two one-sided limits don't match, the function is not continuous at x=-17.
Step-by-step explanation:
![\sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x%20%2B%206%29%20%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B18%7D%20%5C%5C%20x%20%2B%206%20%3D%20%20%2B%20%20-%20%20%5Csqrt%7B18%7D%20%20%5C%5C%20x%20%2B%206%20%3D%20%20%2B%20%20-%20%20%5Csqrt%5B3%5D%7B2%7D%20)
Answer:
4). 47 - 29i
Step-by-step explanation:
(5+√-36)*(1-√-49)=5*1 -5√-49+1*√-36 -√-36√-49 = 5-5*7i +6i-6i*7i=
=5-35i+6i-42(-1)=5+42-41i= 47 - 29i
Answer:
I got c
Step-by-step explanation: