Answer:
Step-by-step explanation:
Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)
First equation is for triangle ABD
Second is for BCD
And the last one is for ACD
Substitute 
and 
As discovered before
Answer:
Chloe swam further. 16/40 to 25/40
Step-by-step explanation:
2/5 5/8
Find greatest common factor of 5 and 8 which is 40.
5x8=40 so multiply the same at the top.
2/5=16/40
5/8=25/40
16/40<25/40.
Chloe swam further
If lines a and b are parallel, the two angles given would be the same.
2x - 5 = x + 20
x = 25
Answer:
We have sinθ = 12/13
The method here is to figure out the value of θ
Using a calculator sin^(-1)(12/13) =67.38°
67.38° is in quadrant 1 so we must substract 67.38° from 180° wich is π
- 180-67.38= 112.61° ⇒ θ= 112.61°
Now time to calculate cos2θ and cosθ using a calculator
- cosθ = -5/13
- cos2θ = -0.7
The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
