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Gennadij [26K]
3 years ago
5

The measure of an exterior angle of a triangle is 3x-5 degrees. The measure of the corresponding interior angle is 5x+17 degrees

. What is the measure of the exterior angle?
Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0
Things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles) add and equal to 180 3x-5+5x+17= 180 8x+12=180 8x= 168 x=21 substitute in the algebraic expression for exterior angle 3(21) -5= 63-5=58 58 degrees is the exterior angle hope this helps
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A study of parents of kindergarteners included 349 parents who were chosen at
miskamm [114]

Answer:

47% is the statistic and 31% is the parameter.

Step-by-step explanation:

A parameter is a quantity of a variable representing certain characteristic of a population.

A statistic is a quantity of a variable representing certain characteristic of a sample.

The sample of parents of kindergartners selected is, <em>n</em> = 345.

The School records show that only 31% of parents of kindergartners sent their children to pre-kindergarten.

That is the population proportion is, <em>p</em> = 0.31.

This is the parameter value.

Of the 349 parents, 47% said they sent their children to pre-kindergarten.

That is the sample proportion is, \hat p = 0.47.

This is the statistic value.

Thus, the correct option is:

47% is the statistic and 31% is the parameter.

7 0
3 years ago
Riley has 300 stamps. 20% are from Russia 18% are for Europe 38% are from Australia the rest are from North America. How many of
zalisa [80]

Answer: 135%

Step-by-step explanation: Given

Europe =  35%

Asia = 10%

Australia* = 20%

North America = ?

To find

Europe + Asia + Australia =

35% + 10% + 20% = 65%

Then the total subtracted from the given

200 - 65 = 135

Therefore,

North America = 135%

Confirm

To make sure that is the correct answer, add it all together.

35 + 10 + 20 + 135 = 200

Which means it is correct.

3 0
3 years ago
Given that MTW = CAD, which segments are corresponding parts of the congruent triangles?
VikaD [51]

Answer: MW = CD

Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.

6 0
3 years ago
Quadratic formula to find the zeros <br> b^2-4b+4=0
Lunna [17]

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

       ====================

                   2*1

x = 4 +/- sqrt (16 - 16)

          ==========

              2

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

5 0
3 years ago
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 wee
Katena32 [7]
For this case, the first thing we must do is define a variable.
 We have then:
 x: number of weeks
 y: amount of cereal that Melanie eats
 We now write the function that models the problem:
 y = 1.5x&#10;
 Then, for 5 weeks we have:
 y = 1.5 (5)&#10;&#10;y = 7.5 pounds
 Answer:
 
A model that best represents the number of pounds of cereal she eats is:
 
y = 1.5x&#10;
 For 5 weeks we have:
 
y = 7.5 pounds
5 0
3 years ago
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