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slamgirl [31]
2 years ago
8

The measures of the three angles of a triangle are given by 1. 3x +1 2. 2x -3, and 9x. What is the measure of the smallest angle

?
A. 13 degrees
B. 23 degrees
C. 29 degrees
D. 40 degrees
Mathematics
1 answer:
nordsb [41]2 years ago
4 0
Since the total measure of all the angles of a triangle is always 180, solve for x with the equation: 3x+1+2x-3+9x=180. x=13. Now plug in x and look for the smallest one, which will be B. 23 degrees.
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Round to nearest hundredth<br>0.099​
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Answer: 0.10

Step-by-step explanation:

Find the number in the hundredth place

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and look one place to the right for the rounding digit

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and round down if it is less than

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0.10

8 0
2 years ago
For number one I put C I wanna know if it’s right lol
nadezda [96]

Answer:

I think your right

hope this helps

have a good day :)

Step-by-step explanation:

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2 years ago
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
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1 year ago
2x + y = 1<br> 3x + 2y = 0
ale4655 [162]

Answer:

(2,-3)

x=2   y=-3

Step-by-step explanation:

2x+y=1         y=1-2x

3x+2y=0

3x+2(1-2x)=0

3x+2-4x=0

-x+2=0

-x=-2

x=2

2x+y=1

2(2)+y=1

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7 0
3 years ago
Use the given data to find the equation of the regression line. x 44 44 11 11 55 y 66 55 negative 1−1 negative 3−3 88 ModifyingA
Temka [501]

Answer:

y=1.98 x -24.34

Step-by-step explanation:

Assuming the following data

X: 44, 44, 11, 11, 55

Y: 66, 55, -1, -3, 88

We want to find a linear model Y= mx +b

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =44+44+11+11+55=165

\sum_{i=1}^n y_i =66+55-1-3+88=205

\sum_{i=1}^n x^2_i =7139

\sum_{i=1}^n y^2_i =15135

\sum_{i=1}^n x_i y_i =10120

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=7139-\frac{165^2}{5}=1694

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=10120-\frac{165*205}{5}=3355

And the slope would be:

m=\frac{3355}{1694}=1.98

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{165}{5}=33

\bar y= \frac{\sum y_i}{n}=\frac{205}{5}=41

And we can find the intercept using this:

b=\bar y -m \bar x=41-(1.98*33)=-24.34

So the line would be given by:

y=1.98 x -24.34

4 0
3 years ago
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