Slope = (5 - 0)/(3 - 0) = 5/3
Answer:
80*
80*
75*
120*
Step-by-step explanation:
both angle 1 and 2 for the first image have the same value as the other angle of 80* because it is a set of parallel lines and one line going through it.
1 on the next set of images is 75* because is is an alternate exterior angle.
2 of the last set of images is 120* because it is same side interior angles.
Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
I agree. So like what you already said, there's 5 out of 12 chance that you will get lemon. And 7 out of 12 chances, you will get lime.
Ratio Format:
5:12 chances for lemon
7:12 chances for lime
The first thing we must do for this case is to define variables.
We have then:
x = Multiple-choice questions
y = short-answer questions
We write the following system of equations:
2x + 4y = 80
x + y = 25
Solving the system of equations we have:
x = 10
y = 15
Answer:
there are 10 multiple-choice questions
