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Maslowich
3 years ago
14

Is a triangle with the angles 60 degrees, 40 degrees, and 80 degrees unique?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0

Hello,

No a triangle with these angles are not unique. This is because every triangle is supposed to have 180 degrees, just like this one.

Have a great day!

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Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat
Fantom [35]

Answer:

6

Step-by-step explanation:

6 times 5 is 30. You would've divided 30 by 5

7 0
3 years ago
Read 2 more answers
An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m
SVETLANKA909090 [29]

Answer:

a) y=-6.254 x +75.064  

b) r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y)     Interest Rate (X)

       22                               9.2

       20                               7.6

       10                                10.4

       45                                5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this 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}  

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}=278.65-\frac{32.5^2}{4}=14.5875  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225  

And the slope would be:  

m=\frac{-91.225}{14.5875}=-6.254  

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

\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125  

\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25  

And we can find the intercept using this:  

b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064  

So the line would be given by:  

y=-6.254 x +75.064  

Part b

For this case we need to calculate the correlation coefficient given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937  

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

6 0
3 years ago
Ab+ac-a²-bc ??????????????????​
babunello [35]
Answer: ab+a-b
ab+ac-a2
CLT( collect like terms)
ab+a2+ac-bc
ab+a-b.

Hope this is correct



6 0
3 years ago
Marisol buys 3 pounds of cheese and 3 pounds of sausage for a total cost of $36. The sausage costs $2.00 less per pound than the
Andreas93 [3]

Answer:

The answer is 1pound of cheese is 7$ and the sausage is 5$

Step-by-step explanation:

6 0
3 years ago
Find each angle or arc measure.
DerKrebs [107]

Since opposite angles of a cyclic quadrilateral are supplementary,

A= 180-101=79°

B= 180-68=112°

5 0
2 years ago
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