Answer:
110 Degrees and 80 Degrees.
Sorry no step by step in a hurry :)
Answer:
901
Step-by-step explanation:
The rationalized form is:
![\frac{(\sqrt{x}-5)(\sqrt{x}+2)}{x - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csqrt%7Bx%7D-5%29%28%5Csqrt%7Bx%7D%2B2%29%7D%7Bx%20-%204%7D)
Step-by-step explanation:
Given
![\frac{\sqrt{x}-5}{\sqrt{x}-2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D-5%7D%7B%5Csqrt%7Bx%7D-2%7D)
To rationalize a denominator, we multiply the numerator and denominator of a fraction with conjugate of the denominator
The conjugate of denominator is:
![\sqrt{x}+2](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%2B2)
Multiplying with conjugate
![\frac{\sqrt{x}-5}{\sqrt{x}-2} * \frac{\sqrt{x}+2}{\sqrt{x}+2}\\=\frac{(\sqrt{x}-5)(\sqrt{x}+2)}{(\sqrt{x})^2 - (2)^2}\\=\frac{(\sqrt{x}-5)(\sqrt{x}+2)}{x - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D-5%7D%7B%5Csqrt%7Bx%7D-2%7D%20%2A%20%5Cfrac%7B%5Csqrt%7Bx%7D%2B2%7D%7B%5Csqrt%7Bx%7D%2B2%7D%5C%5C%3D%5Cfrac%7B%28%5Csqrt%7Bx%7D-5%29%28%5Csqrt%7Bx%7D%2B2%29%7D%7B%28%5Csqrt%7Bx%7D%29%5E2%20-%20%282%29%5E2%7D%5C%5C%3D%5Cfrac%7B%28%5Csqrt%7Bx%7D-5%29%28%5Csqrt%7Bx%7D%2B2%29%7D%7Bx%20-%204%7D)
Hence,
The rationalized form is:
![\frac{(\sqrt{x}-5)(\sqrt{x}+2)}{x - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csqrt%7Bx%7D-5%29%28%5Csqrt%7Bx%7D%2B2%29%7D%7Bx%20-%204%7D)
Keywords: Conjugate, rationalization
Learn more about rationalization at:
#LearnwithBrainly
Answer:
$12
Step-by-step explanation:
Step 1:
$8 : 4 = x : 6
Step 2:
4x = 48
Answer:
x = 12
Hope This Helps :)