A straight line is 180°, so you can do:
109 + ? = 180 (? is the top angle of the triangle)
? = 71°
Because the triangle is an isosceles triangle, the other angle is 71° too.
71 + 71 + ? = 180
? = 38
You subtract 38 with 90 to find the other angle.
90 - 38 = 52°
To find ∠2 you subtract 52 with 180.
180 - 52 = 128
∠2 = 128
128 = 11x + 18
110 = 11x
10 = x
Answers:
=======================================
Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
-----------
So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
-----------
Side note: The side sqrt(5) isn't used at all.
The probability of not drawing C in neither draw is P = 0.5
<h3>
How to get the probability?</h3>
All the cards have the same probability of being drawn, in this case, our set of cards is {F, D, C, G}
The probability of not drawing C is equal to the probability of drawing F, D or G. So we have 3 options out of 4, then the probability is:
p = 3/4.
Now we draw another, this time there are 3 cards, one of these is C, and the other two cards are not C. Then the probability of not drawing C again is equal to 2 over 3.
q = 2/3.
The joint probability (for both of these events to happen) is equal to the product of the individual probabilities:
P = p*q = (3/4)*(2/3) = 0.5
If you want to learn more about probability, you can read:
brainly.com/question/251701
