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3 years ago

If two angles of a triangle have measures of 42° and 20°, what is the measure of the third angle?

Mathematics

1 answer:

dexar [7]3 years ago

3 0

The other angle would be 118°

The three angles of a triangle must add up to 180°.

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WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

5 0

3 years ago

Solve the equation 10x^4-81x^2+164=0 on the real number system

rusak2 [61]

I got -2,2....................

6 0

3 years ago

Read 2 more answers

Is the question is x(x2-2) then what would be the answer

Nitella [24]

<span>x(2x-2)
distribute the x to get our answer of
2x^2-2x

</span>

5 0

3 years ago

Show that 6 is a quaint number.

Alika [10]

Answer:

6=2+2+2

Step-by-step explanation:

-In mathematics, a quaint number is a number that can be written as the sum of two or more prime numbers.

-The multiple divisors of 6 in a factor tree are 2,2 and 2

-6 can thus be written as 2+2+2:

6=2+2+2

-Hence 6 is a quaint number

6 0

3 years ago

How do you use subtraction to find a missing addend in an addition problem? Explain

Kaylis [27]

You basically just get a equation that needs to be answered and grab the answer and minus it by one of the two digits in front. Example: 3+2=5 is equal to 5-2=3

4 0

3 years ago