Answer:
False ; the answer to that equation is 56
Step-by-step explanation:
Answer:
![\boxed{ \bold{ \sf{x = 25°}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7Bx%20%3D%2025%C2%B0%7D%7D%7D)
![\boxed{ \bold{ \sf{(x + 5) = 30°}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B%28x%20%2B%205%29%20%3D%2030%C2%B0%7D%7D%7D)
![\boxed{ \bold{ \sf{5x = 125°}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B5x%20%3D%20125%C2%B0%7D%7D%7D)
Step-by-step explanation:
We know that sum of angle of triangle adds up to 180°
<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x</u>
![\sf{5x + x + x + 5 = 180°}](https://tex.z-dn.net/?f=%20%5Csf%7B5x%20%2B%20x%20%2B%20x%20%2B%205%20%3D%20180%C2%B0%7D)
Collect like terms
⇒![\sf{7x + 5 = 180}](https://tex.z-dn.net/?f=%20%5Csf%7B7x%20%2B%205%20%3D%20180%7D)
Move 5 to right hand side and change its sign
⇒![\sf{7x = 180 - 5}](https://tex.z-dn.net/?f=%20%5Csf%7B7x%20%3D%20180%20-%205%7D)
Subtract 5 from 180
⇒![\sf{7x = 175}](https://tex.z-dn.net/?f=%20%5Csf%7B7x%20%3D%20175%7D)
Divide both sides of the equation by 7
⇒![\sf{ \frac{7x}{7} = \frac{175}{7} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B7x%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B175%7D%7B7%7D%20%7D)
Calculate
⇒![\sf{x = 25°}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%3D%2025%C2%B0%7D)
<u>Finding </u><u>the </u><u>value </u><u>of </u><u>(</u><u> </u><u>x </u><u>+</u><u> </u><u>5</u><u> </u><u>)</u><u>°</u>
![\sf{x + 5}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%2B%205%7D)
plug the value of x
⇒![\sf{25 + 5}](https://tex.z-dn.net/?f=%20%5Csf%7B25%20%2B%205%7D)
Add the numbers
⇒![\sf{30°}](https://tex.z-dn.net/?f=%20%5Csf%7B30%C2%B0%7D)
<u>Finding </u><u>the </u><u>value </u><u>of </u><u>5</u><u>x</u>
![\sf{5 \times 25}](https://tex.z-dn.net/?f=%20%5Csf%7B5%20%5Ctimes%2025%7D)
Multiply the numbers
⇒![\sf{125°}](https://tex.z-dn.net/?f=%20%5Csf%7B125%C2%B0%7D)
Hope I helped!
Best regards!!
I'm going to rewrite f(x) and g(x) so that I don't get confused.
Based on your description:
f(x) = (2x)
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ x - 1 simplified to 4x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ x - 1
g(x) = x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ 3x - 3
Now we handle parts A-D.
A. f(x) + g(x)
We combine like terms.
4x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ 5x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ x + 3x - 1 - 3 = 5x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ 4x - 4
B. f(x) - g(x)
Again combine like terms like normal except this time subtracting.
4x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
- x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ x - 3x - 1 - (- 3) = 3x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
- 2x + 2
C. 2f(x) + 2g(x)
Multiply, then again CLT
2f(x) = 8x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ 2x - 2
2g(x) = 2x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ 6x - 6
Combine like terms to get 10x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
+ 8x - 8
D. 2f(x) - 2g(x)
Use the same 2f(x) and 2g(x) terms and this time just subtract.
You get 6x
![^{2}](https://tex.z-dn.net/?f=%20%5E%7B2%7D%20)
- 4x + 4