There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:
See the explanation for the answer to this question
Step-by-step explanation:
Let
B ---> the balance of money saved.
M ---> the amount invested in dollars
JoeNah's Equation
M=$100

Dekobian's Equation
M=$100

Evan's Equation
M=$100

Substitute

Dekobian's equation and Evan's equation are correct! :)
JoeNah's equation is wrong. :(
Hope this helps you!
Have a good evening!
Answer:
Step-by-step explanation:
The answer is choice A- 68
I really hate these algebra problems pretending to be geometry.
Anyway angles B and D are congruent in a parallelogram. Geometry part done.
4n - 2 = 2n + 32
2n = 34
n = 17
Answer: 17, which is the 3rd choice