Answer: 7. x= 26, 9. x=11/y=3
Step-by-step explanation: Sorry for the terrible photo quality. Comment if you need more help : )
- So, for the first examples given set all of the equations as equal to the other angle equation given.
- For problems like number 9, solve for the x's first (or whichever variable there's more of) you should solve for the x's like you did for the first problem, then set the equation to an A+B=180 format. The reason for this is two angles (in some cases more) on a straight line together will always equal 180 degrees.
- For 10. set the equations with x in them to that A+B=180 format. Then once you've found x plug it into 6x-7. When you have that answer set 8y+17 equal to the answer you got and solve for y.
- For 11 and 12. These ones can be a bit more complicated because of their visual appearance, however you just need to combine the earlier steps taken to solve the first couple of equations.
- Beginning with 12. If you ever see a Z pattern, know that the sides facing > and < ( the inside angles of the Z) are equal to each other. So you set the equations with x equal to each other, and once you get x plug it into the equation inside of the triangle. Since you've already been given 90, set the equation up like this: 43+90+(7y-20)=180. Because all the angles in a triangle are equal to 180 degrees. Then just solve for y. y=9
- Lastly for number 11. This one is by-far the hardest of all of them. You have to adjust how you look at the problem. You'll see that if you add (3x+49) it's actually congruent to (7x-23). once you figure out x you should then plug x into 3x giving you 54. The set up the equation like this 11y-1=54. That will give you y=5.
Wow, that is definitely a pickle, but what if you took the 14 percent that dont know, multiply it by 9590 to get how many people dont know, THEN took each percent of THAT new population to estimate how many of the "dont knows" would fall into each section then? do you get what im saying?
Answer:
For every 64 miles, she uses 2 gallons of gas. So the answer can be 64:2 or 31:1
Step-by-step explanation:
Answer:
The answer is 6 11111 / 100000
Step-by-step explanation:
Part A
(h + t)(x)
(5x - 2 + 4x + 6)(x) First plug in the numbers
(9x + 4)(x) Add h(x) and t(x)
(9x² + 4x) Then multiply it by x
x(9x + 4) Lastly, simplify x out (I'm including both answers because I don't know whether your questions will ask for either one)
Unsimplified Answer: 9x² + 4x Simplified Answer: x(9x + 4)
Part B
(h x t)(x)
(5x - 2)(4x + 6)(x) First step is to of cource, plug in the numbers
(20x² + 30x -8x -12)(x) Next we multiply h(x) and t(x)
(20x² + 22x -12)(x) Simplify it a little
(20x³ + 22x² - 12x) After that, multiply the whole thing by x
(2x)(10x² + 11x - 6) Simplify 2x out of the equation
(2x)(5x - 2)(2x + 3) Lastly, simplify the rest
Unsimplified Answer: (20x³ + 22x² -12x) Simplified Answer: (2x)(5x - 2)(2x + 3)
Part C
h[t(x)]
(5x - 2) [(4x + 6)(x)] Plug in the numbers
(5x - 2)(4x² + 6x) Multiply t(x) and x
(20x³ + 30x² - 8x² -12x) Multiply that by h(x)
(20x³ + 22x² -12x) Simplify a little... Wait! That looks like the answer to Part B! Perhaps we did something wrong, let's go back and alter the third step
(5x -2)(2x)(2x + 3) This time, simplify before multiplying oh wait, that's part B's simplified answer, isn't it.
Well, there's a good explanation for this: Part B and Part C are essentially the same equations, just in slightly different orders!
So, it will have the same answers and Part B! (At least, in theory, I'd recommend checking this for yourself too!)
Unsimplified Answer: (20x³ + 22x² - 12x) Simplified Answer: (2x)(5x-2)(2x+3)
Well, that's a wrap, Parts A, B, and, C with work and explanations; if you find that I made a mistake or did something wrong let me know. I hope this helped, and good luck!