Answer: 70
Step-by-step explanation:
Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.
Answer:
1000
Step-by-step explanation:
40x50=2000
2000/2=1000
Answer:
A. Both rotational and reflectional.
Step-by-step explanation:
We have been given an image of a regular polygon. We are asked to determine type(s) of symmetry for our given polygon.
Upon looking at our given polygon, we can see that it is a pentagon.
We know that a regular pentagon has five equal sides and five lines of symmetry.
We can see that each line of symmetry divides pentagon into two mirror images, therefore, our given pentagon has reflectional symmetry.
We know that the regular polygon has a rotational symmetry. We can find rotational symmetry of a regular polygon by multiplying 360 degrees by number of sides.


Therefore, a regular pentagon has rotational symmetry.
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{\cfrac{2}{3}}[x-\stackrel{x_1}{(-1)}]\implies y+5=\cfrac{2}{3}(x+1)](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-1%7D~%2C~%5Cstackrel%7By_1%7D%7B-5%7D%29~%5Chspace%7B10em%7D%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B2%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-5%29%7D%3D%5Cstackrel%7Bm%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-1%29%7D%5D%5Cimplies%20y%2B5%3D%5Ccfrac%7B2%7D%7B3%7D%28x%2B1%29)

Answer:
(x + 1)(x + 8)
Step-by-step explanation:
x(x + 8) + 1(x + 8)
x2 + 8x + 1x + 8
x2 + 9x + 8