(5) Angle ADC is the sum of angles ADB and BDC.
(6) Yes, because lines AG and EC form two pairs of vertical angles, including ADC and EDG, as well as ADE and CDG.
(7) Angle HJK is clearly a right angle, and a right angle has measure 90°.
Answer:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k
Answer:
[See Below]
Step-by-step explanation:
![\boxed{Hey~There!}](https://tex.z-dn.net/?f=%5Cboxed%7BHey~There%21%7D)
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![\boxed{Solve~-3x](https://tex.z-dn.net/?f=%5Cboxed%7BSolve~-3x%3C9%3A%7D)
- Rearrange the equation by subtracting what is to the right of the greater than sign (≤, ≥) from both sides of the inequality:
![-3x - 9 = -3 * (x + 3)](https://tex.z-dn.net/?f=-3x%20-%209%20%20%3D%20%20%20-3%20%2A%20%28x%20%2B%203%29)
- Divide both sides by
:
- Remember to flip the inequality sign:
- Subtract
from both sides:
![x > -3](https://tex.z-dn.net/?f=x%20%3E%20-3)
![\boxed{The~answer~is: x > -3}](https://tex.z-dn.net/?f=%5Cboxed%7BThe~answer~is%3A%20x%20%3E%20-3%7D)
![\boxed{The~answer~is: C}](https://tex.z-dn.net/?f=%5Cboxed%7BThe~answer~is%3A%20C%7D)
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^-^
Simply you can substitute theta=45 degrees (or any angle,not zero) in left hand side and right hand side.
or
using a^2 - b^2 =(a+b)(a-b)
= sin(2x+x)sin(2x-x)
= sin 3x sin x