We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5
We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°
This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
Mid segment of triangle = 1/2 base
base = x here, so
1/2x = 15
multiply both sides by 2,
x=30
answer: x=30
Answer:
Only vowels and odd numbers:

Spells math:

Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

Answer:
Step-by-step explanation:
X = number of Yan's marbles. x-3 = number of Geraldo's marbles
annswer: x + (x - 3) = 21
hopes this helps :)
I hope this answer helps, it’s kinda messy, but it’s still understandable (I guess)