Answer:
Step-by-step explanation:
The appropriate trig identity is ...
Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...
Answer:
4
Step-by-step explanation:
3 + 4(2x - 1) = 23
4(2x - 1) = 20
8x - 4 = 20
8x = 24
x = 3
---------
2(3) - 2
6 - 2
4
Answer:
<b= 36 degrees, <c= 144 degrees
Step-by-step explanation:
144 and b are supplementary meaning they add up to 180.
144 and c are vertical angles meaning they are congruent.
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
Answer:
117 feet squared
Step-by-step explanation:
Multiply the height (9 feet) by the width (13 feet).
9 x 13 = 117
117 feet squared
Note: squared is added when describing area (it's used as an exponent in numbers)
