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:
Step-by-step explanation:
Given
See attachment for complete question
Required
The question requires that we calculate the theoretical probability of landing on the head.
This means that, we have to ignore the given data, and we use the following
--- sample space
--- sample size
--- occurrence of Head
So, the theoretical probability is:
Answer:
$ 31050
Step-by-step explanation:
<em>Step 1 : Write the formula for calculating simple interest.</em>
Simple Interest = <u>P x R x T </u>
100
P: Principal Amount-The loan taken (30,000)
R: Interest rate at which the loan is give (6)
T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)
<em>Step 2: Substitute values in the formula</em>
Simple Interest = <u>30,000 x 6 x 7/12</u>
100
Simple Interest = $1050
<em>Step 3: Calculate the amount due at maturity</em>
At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.
Amount at maturity = Principal Amount + Simple Interet
Amount at maturity = 30,000 + 1050
Amount at maturity = $31050
!!
There are 9 two-year-olds and 18 each of 3 and 4 year olds.
To solve this we could write and solve the equation below, letting x be the number of 3 and 4 year olds.
x/2 + x + x = 45
x + 2x + 2x = 90
5x = 90
x = 18
From here, we just divide 18 by 2 to get the number of 2 year olds.
Answer:
this makes no sense but i already answered so ima say 1
Step-by-step explanation:
im so sorry
