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Softa [21]
3 years ago
6

Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.

Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Answer:

16 degrees

Step-by-step explanation:

<u><em>The question is</em></u>

Find the measure of angle R

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

m\angle N+m\angle R=109^o

we have

m\angle N=93^o

substitute

93^o+m\angle R=109^o

m\angle R=109^o-93^o=16^o

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One batch of Caralee’s chicken soup contains 3,896 calories. She makes 3 batches of the recipe for her sons class party. How man
motikmotik

Answer:

11,688calories

Step-by-step explanation:

If one batch of Caralee’s chicken soup contains 3,896 calories, then;

1 batch = 3,896 calories

To get the amount of calories needed for 3 batches

3 batches = x

Divide both equations

1/3 = 3896/x

x* 1 = 3 * 3896

x =  3 * 3896

x = 11,688calories

Hence 3 batches will contain 11,688calories

5 0
3 years ago
Elena has 14 pieces of bannana bread. She gives an equal amount of bannana bread to 4 friends. How many peices of bannana bread
Mashutka [201]

You have to divide the 14 pieces amongst 4 friends: 14/4. This can be simplified into a fraction. Since both the numerator and denominator can be divided by 2, you can simplify the fraction to 7/2 and make it into a mixed number 3 1/2, or decimal form 3.5. Each friend got three and a half pieces of banana bread.

6 0
3 years ago
Read 2 more answers
Which is a composite number? 81,41,71,61
KATRIN_1 [288]

Answer:

81

hope this helps:)

5 0
3 years ago
The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict
erma4kov [3.2K]

Answer:

Job has the weakest association with the dependent variable income.

Step-by-step explanation:

The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.

It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.

The correlation data provided is as follows:

                    Income    Education    Job     Age

Income         1.000      

Education     0.677        1.000

Job                0.173         -0.181        1.000

Age               0.369        0.073        0.689   1.000

The dependent variable is the income.

And the variables Education, Job and Age are independent variables.

The correlation between Income and Job is 0.173.

This is the lowest correlation coefficient between the dependent and independent variable.

Thus, Job has the weakest association with the dependent variable income.

8 0
3 years ago
Find the coordinates for the midpoint of the segment with endpoints given 12,4 and -8,8
borishaifa [10]
<h2>Hello!</h2>

The answer is:

The coordinates of the midpoint are:

x-coordinate=2\\y-coordinate=6

<h2>Why?</h2>

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

We are given the points:

(12,4)\\

and

(-8,8)\\

Where,

x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8

So, calculating the midpoint, we have:

MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})

MidPoint=(\frac{4}{2},\frac{12}{2})

MidPoint=(2,6)

Hence, we have that the coordinates of the midpoint are:

x-coordinate=2\\y-coordinate=6

Have a nice day!

8 0
3 years ago
Read 2 more answers
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