Answer:
the answer is 56
Step-by-step explanation:
because it is an equilateral triangle the other side is 62 so you add 62+62=124 180-124=56
The X and Y angles created by lines intersection in the pictures are 18° and 54°.
Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:
∠MON = ∠MOA +∠AON = 90°
∠MON = 72° + ∠AON = 90°
∠AON = 18° ... (i)
If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:
∠AOD = ∠BOC
∠AOC = ∠BOD
∠AOD + AOC = 180°
∠BOC + ∠BOD = 180°
Based on the picture, we know that:
∠BOC = x
∠AOC = ∠MOA + ∠MOC
∠AOC = 72° + y ...(ii)
∠AOD = ∠AON + ∠NOD
∠AOD = 18° +2x
∠BOC = 3x ... (iii)
Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:
∠BOC = ∠AOD
3x = 18° + 2x
x = 18° ... (iv)
To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we know that:
∠AOC + ∠BOC = 180° ... (v)
Input equations (ii) and (iv) into (v)
∠AOC + ∠BOC = 180°
(72° + y) + 3x = 180°
72° + y + 3(18°) = 180°
126° + y = 180°
y = 54° ... (vi)
Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults
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Answer:
Polygon B is similar to Polygon A.
Step-by-step explanation:
Polygon B has a <em>scale factor</em> of 2, because Polygon B looks identical to A, except the measurements are twice as large.
Answer:

Step-by-step explanation:
We are given that
is in <em>fourth</em> quadrant.
is always positive in 4th quadrant and
is always negative in 4th quadrant.
Also, we know the following identity about
and
:

Using \theta_1 in place of \theta:

We are given that 

is in <em>4th quadrant </em>so
is negative.
So, value of 
<u>Answer:</u>
9c + 10 (see below)
<u>Step-by-step explanation:</u>
To find how much Chris spent on tickets, you can write an expression to represent the situation:
$9c
You can do this to find how much Michael spent as well:
$10m
To find how much Chris and Michael spent combined, add their two costs:
9c + 10