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djverab [1.8K]
3 years ago
6

Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

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<h2>Given </h2>

Two groups of students were asked how far they lived from their school.

The table shows the distances in miles:

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Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

<h3>What is mean?</h3>

The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.

The formula used to calculate the mean is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}

The mean of group A is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm GroupA \ mean = \dfrac{1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2}{9 }\\\\\rm Group A \ mean=\dfrac{ 19.53}{9}\\\\ Group A \ mean = 2.17

The mean of group B is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm Group B \ mean = \dfrac{2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8}{9} \\\\Group B \ mean = \dfrac{19.53}{9}\\\\ Group B \ mean = 2.17

Hence, the mean is equal for Group A and Group B.

To know more about Mean click the link given below.

brainly.com/question/12513463

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