Answer:
x = 24
Step-by-step explanation:
The angles marked 5x and 120 are vertical angles.
Vertical angles are congruent. That means their measures are equal.
Set 5x equal to 120 and solve for x.
5x = 120
Divide both sides by 5.
5x/5 = 120/5
x = 24
Answer: x = 24
<h3>
Answer: x^2+9x+8</h3>
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Explanation:
With many math problems, a good strategy is to break things down into smaller pieces. In this case, we need to find the area of each individual smaller rectangle
A = blue rectangle area = length*width = x*x = x^2
B = purple rectangle area = length*width = x*1 = x
C = green rectangle area = length*width = 8*x = 8x
D = orange rectangle area = length*width = 1*8 = 8
Add up A through D to get the overall area of the entire or largest rectangle possible
total area = A+B+C+D = x^2+x+8x+8 = x^2+9x+8
notice how x+8x turns into 9x. You can think of it as 1x+8x = (1+8)x = 9x
This is because x and 8x are like terms which can be combined. Everything else is left as is.
Because we don't know what number goes in place for x, we cannot simplify or evaluate x^2+9x+8 any further.
Answer:
he will be payed 420 dollars at the end of the week
Answer:
37
Step-by-step explanation:
plug in -8 into the equation
-6(-8)-11
48-11
37
Answer:
![\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B8%5Bx%20%2B%202%5D%5Bx%5E2%20-%202x%20%2B%204%5D%7D)
Step-by-step explanation:
Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:
![\displaystyle 8x^3 + 64 \\ 8[x^3 + 8] \\ \\ x + 2 = \sqrt[3]{x^3 + 8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%208x%5E3%20%2B%2064%20%5C%5C%208%5Bx%5E3%20%2B%208%5D%20%5C%5C%20%5C%5C%20x%20%2B%202%20%3D%20%5Csqrt%5B3%5D%7Bx%5E3%20%2B%208%7D)
Then, since the divisor\factor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
−2| 1 0 0 8
↓ −2 4 −8
___________
1 −2 4 0 → 
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of 
, attaching this to the first two factors you started out your work on:
I am joyous to assist you anytime.
