Answer:
x = 1
GF = 12
GH = 15
FH = 3
Step-by-step explanation:
G___F___H
GH = GF + FH
11x +4 = ( 3x +9) + (5x-2)
11x+4= 8x + 7
11x - 8x = 7-4
3x = 3
x =3/3
x = 1
GF = 3x + 9 = 3(1)+9=3+9=12
GH = 11x +4= 11(1)+4=11+4 = 15
FH = 5x - 2 = 5(1) - 2 = 5 - 2 = 3
I hope I helped you^_^
The ratio is common, so you could write:
a1 * r^4 = a^5 (you do r^4 because there are 4 times you need to multiply by the ratio to get from a1 to a5)
Plug in the values:
3 * r^4 = 48
Divide by 3:
r^4 = 16
Take the fourth root of both sides:
r = 2
The common ratio is 2.
Answer:
It seems each number is 3 less than the previous number.
We must sum these 10 numbers
40, 37, 34, 31, 28, 25, 22, 19, 16, 13
The sum would equal the average of the middle 2 numbers times 10.
(28 + 25) / 2 = 53 / 2 = 26.5
We multiply by 10 because there are 10 numbers and this equals
265
Step-by-step explanation:
You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.
For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)
<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)
Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates
Hope this helps :)
