First replace x with -2 in the g(x) equation and solve:
G(x) = x + 4 = -2 + 4 = 2
Now replace x in the f(x) equation with the solution of g(x).
F(x) = 1-3(2) = 1-6 = -5
Fg(-2) = -5
Note! Every triangle must add up to 360°
1. x =
(×+29°) + (x+19°) + 84° = 360°
x + x + 29° + 19° + 84°= 360°
2x + 48° + 84°= 360°
2x + 132° = 360°
2x = 228°
x = 114°
m(angle)A =
(x+29°)
(114°+29°)=143°
m(angle)B=
(x+19°)
(114°+19°)=133°
3. is a bit different
(3x+6)° = (8x+3)°+130°
-5x+6° = 3° + 130°
-5x = 133° - 6°
-5x = 127°
x = -25.4°
m(angle)A=
(3x+6)°
3×(-25.4)+6= -70.2°
m(angle)DBE=
(8x+3)°=
8(-25.4)+3= -200.2°
I only did 1. and 3. for examples now, but if you need help with anymore just ask!
Answer:

Step-by-step explanation:
sin = opposite/ hypotenuse
Answer:
9.5% decrease
Step-by-step explanation:
Answer:
- <u><em>Rounding to nearest tenth of centimeter, the ball bounces 192.1 cm high on the 5th bounce.</em></u>
<u><em></em></u>
Explanation:
The <em>ball is dropped from a height of 900 centimeters</em>.
Since the heights form a <em>geometric sequence,</em> you can find a common ratio between consecutive terms. This is:
- Height bounce 2 / height bounce 1 = 560 / 800 = 0.7
- Height bound 3 / height bounce 2 = 392 / 560 = 0.7
Hence, the ratio of the geometric sequence is 0.7, and taking bounce 1 as the start of the sequence, the general term of the sequence is:

With that formula you can find any term:

Rounding to <em>nearest tenth of centimeter</em>, the ball bounces 192.1 cm high on the 5th bounce.