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3 years ago

2 Points

1 answer:

4 0

"An angle that forms a linear pair with one of the interior angle the triangle" is the best definition of an exterior angle of a triangle.

<u>Option: C</u>

<u>Explanation:</u>

When to the sum of the inward angles opposite outer angle of a triangle the sum of the inward angles opposite is equivalent thus understood as exterior angle of a triangle.

The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.

In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:

120 + 120 + 120 = 360°.

You might be interested in

In a plan for area codes, the first digit could be any number from 3 though 9, the second digit was either 0 or 4, and the third

Tanya [424]

<h2>Answer:126 ways</h2>

Step-by-step explanation:

Given that the first digit could be any number from $3$ though $9$ .

So,there are $7$ ways to choose the first digit.

Given that the second digit was either $0$ or $4$ .

So,there are $2$ ways to choose the second digit.

Given that the third digit could be any number except $0$ .

So,there are $9$ ways to choose the third digit.

The number of different codes possible is the product of number of ways of choosing first digit,number of ways of choosing second digit and number of ways of choosing third digit.

Total ways are $7\times 2\times 9=126$ ways

6 0

3 years ago

The function y=-5x+2 is transformed by reflecting it over the y axis. What is the equation of the new function?

vampirchik [111]

y = mx + b

When a function is reflected over the y-axis, the b (2) stays the same but the slope (m) changes to its opposite sign.

since the slope is negative in this equation, it will become positive.

so the new fuction will be

y = 5x + 2

7 0

3 years ago

On a scale drawing a school is 1.6 tall the scale factor is 1/22 find the height of the school

Lady bird [3.3K]

<span>In this problem,think of it this way. 1 is to 22 as 1.6 is to X.

When you solve for X you will have the height of your school

all you need to do is multiply 1.6 by 22 and you've got it!

Cheers!</span>

3 0

3 years ago

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial gro

Ivenika [448]

Answer:

The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )

Step-by-step explanation:

Conducting an F-test to determine association between race and average age at marriage

step 1 : State the hypothesis

H0 : ц1 = ц2 = ц3

Ha : ц1 ≠ ц2 ≠ ц3

step 2 : determine the mean square between

Given mean value of all groups = 23.33

SS btw = 113*(25.39 - 23.33)² + 904*(22.99 - 23.33)² + 144*(23.89 - 23.33)^2 = 113(4.2436) + 904(0.1156) + 144(0.3136)

= 629.1876

hence: df btw = 3 - 1 = 2

df total = 1161 - 1 = 1160

df within = 1160 - 2 = 1158

SS within = 36.87*1158 = 42695.46

Therefore the MS between = 629.19 / 2 = 314.60

The F-ratio = 314.59 / 36.87 = 8.53

using the values for Btw the P-value = 0.00021

The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )

7 0

3 years ago

Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.<br> y−3=(2−x)^2

Talja [164]

Given:

The given equation is

$y-3=(2-x)^2$