Angle 2 and 7 are what?
2 answers:
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Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:
0.91 feet, 0.73 feet, 1.23 feet.
<h3>What is a system of equations?</h3>A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are the lengths, given by x, y and z.
The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:
y = 3x - 2.
The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:
The perimeter of the triangle is 17.5 feet, hence:
x = 25.5/28
x = 0.91.
Then the other sides are:
- y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.
More can be learned about a system of equations at brainly.com/question/24342899
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The question is incomplete. The complete question is :
In a survey of women in a certain country ( ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 99th percentile? (b) What height represents the first quartile? (Round to two decimal places as needed)
Solution :
Let the random variable X represents the height of women in a country.
Given :
X is normal with mean, μ = inches and the standard deviation, σ =
inches
Let,
, then Z is a standard normal
a). Let the percentile is = a
The point a is such that,
From standard table, we get :
∴
= 6.536903 + 62.9
= 69.436903
= 69.5 (rounding off)
Therefore, the height represents the percentile = 69.5 inches.
b). Let b = height represents the first quartile.
It is given by :
From the standard normal table,
∴
= 1.895345 + 62.9
= 64.795345
= 64.8 (rounding off)
Therefore, the height represents the 1st quartile is 64.8 inches.
Answer:
x° = 99°
Step-by-step explanation:
The polygon is a hexagon and the sum of its internal angles is:
subtract the 5 known angles:
Hope this helps