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ArbitrLikvidat [17]
3 years ago
14

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?

Mathematics
2 answers:
exis [7]3 years ago
6 0
48 degrees

All three sides of the triagnle must add up to 180 degrees!

hope this helps :)
scZoUnD [109]3 years ago
3 0
Hat means y + z = 180. 

<span>y is thrice than z means y = 3 * z. </span>

<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>

<span>combine like terms to get 4 * z = 180. </span>

<span>solve for z to get z = 180 / 4 = 45 degrees. </span>

<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>

y = 135
<span>z = 45 </span>

y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>

<span>solution is confirmed to be good.</span>
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77julia77 [94]

Answer:

a) Y= 90 +46.50(5) +0.35 (340) =441.50

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

Y= 90 +46.50 x_1 +0.35 x_2

Where x_1 represent the number of days on the road and x_2 the distance traveled in miles.

And we want to find the expected amount from a 340​-mile trip that took her out of town for 5 ​days, so we just need to replace x1= 5 and x2=340 and we got:

Y= 90 +46.50(5) +0.35 (340) =441.50

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

Y= 90 +46.50(55) +0.35 (340) =441.50

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

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I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.

The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...

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Now, distributing, we get ...

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