Answer:
x = 24
obtuse isosceles triangle
Step-by-step explanation:
x = 24 because a triangle has to have all the angles add up to 180. So x + x +132 = 180.
180-132 = 2x
48 = 2x
x = 24
It is an isosceles because two of the angles are the same and one is different which means two of the sides are the same and one is different. (isosceles = icicle is how I remember it). Obtuse because there is an angle that is over 90 degrees.
Answer: Choice A. 4 times
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Explanation:
We'll be using this formula

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.

Do the same for the AROC from x = 3 to x = 4.

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.
Green is 50 and the blue is 30 degrees
Answer: x ( y + 1) + y ( y + 3) + 2
Step-by-step explanation:
( x + y + 2) ( y + 1)
x ( y + 1) + y ( y + 1) + 2 ( y + 1)
expanding the bracket
( xy + x) + ( y2 + y) + ( 2y + 2)
removing the bracket
xy + x + y2 +y + 2y + 2
collecting like terms
xy + x + y2 + 3y + 2
given as: x(y + 1) + y ( y + 3) + 2
9514 1404 393
Answer:
63
Step-by-step explanation:
The number of seats in a row will give an arithmetic sequence:
6, 9, 12, 15, ...
The first term is 6; the common difference is 3. The general term is ...
an = a1 +d(n -1) . . . . . . n-th term of sequence with first term a1, difference d
The 20th term of the sequence is ...
a20 = 6 +3(20 -1) = 6 +57 = 63
There would be 63 seats on the 20th row.