Comment
The way to handle this is to realize that the 180 degree angle (the two supplementary angles added together to make 180o by definition) is actually divided into 6 parts. There are 2 parts for the smaller angle and 4 for the larger.
Added together the 2 angles = 180
Equation
Let one of the 6 parts = x
2x + 4 x = 180
Solve
2x + 4x = 180 Add the like terms on the left together.
6x = 180 Divide by 6
x = 180/6
x = 30
Answer
Since one angle is 2 parts (the smaller angle)
2 * 30 = 60
And the larger angle is
4 * 30 = 120
The two angles are
60,120 <<<< answer.
Further comment.
The two angles are supplementary 60 + 120 = 180
One angle is twice as big as the other. 2*60 = 120
Answer:
80x2=160 20x3=60 160+60=220
Step-by-step explanation:
Answer:
13,57,31
Step-by-step explanation:
Given that X, Y , Z be three random variables which satisfy the following conditions:
Var(X) = 4, Var(Y ) = 9, Var(Z) = 16. Cov(X, Y ) = −2, Cov(Z, X) = 3,
Var(y,z) =0 since given as independent
To find
b)
c) Var(X + Y + Z)
Note:
Var(x+y) = var(x) + Var(Y) +2cov (x,y)
Var(x+2y) = Var(x) +4Var(y)+4cov (x,y)
The correct option about the proof is C. Both Amanda and Stephen are correct.
<h3>How to illustrate the information?</h3>
It should be noted that both Amanda and Stephan are correct as they are taking two different pairs of supplementary angles.
Amanda's proof is that he takes (∠1 and ∠4) and (∠3 and ∠4)as the supplementary angles and writes ∠1 + ∠4 = 180° and ∠3 + ∠4 = 180°,
Stephan's proof is that he takes (∠1 and ∠2) and (∠3 and ∠4) as the <em>supplementary</em> angle pair.
Therefore, the correct option is C.
Learn more about proof on:
brainly.com/question/1788884
#SPJ1
2/5 = y/100
40/100 = y/100
Y=40