Answer:
24
Step-by-step explanation:
you find area of a triangle with equation:
base: 6
height: 8
area equals: 24
for the second photo
vertex would be at (1,-8)
this is because each vertex is in a different quadrant so you would need a negative y axis to form the rectangle
Answer:
x = 27
Step-by-step explanation:
We can say that sum of all interior angles adds up to: 180°, therefore;
(3x - 17) + (2x - 5) + (x + 40) = 180°
=> now add like terms together:
=> 3x + 2x + x = 6x
=> -17 + (-5) + 40 = 18
Therefore;
6x + 18 = 180°
6x = 180 - 18
6x = 162
x = 162/6
<u>x = 27</u>
Hope this helps!
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
Answer:
SA = 208 in²
Step-by-step explanation:
SA = 2(2)(7) + 2(2)(10) + 2(10)(7) = 208 in²
