An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle.
FACTS:
- Every triangle has 6 exterior angles, two at each vertex.
- Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.
1. Angles 1, 5 and 6 are inteior angles of the given triangle.
2. Angle 3 is vertical to the interior angle 5.
3. Angles 2 and 4 are exterior angles of the triangle.
Answer: correct options are A and B.
Answer:
The confidence interval for the difference in proportions is

No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.
Step-by-step explanation:
We have to construct a confidence interval for the difference of proportions.
The difference in the sample proportions is:

The estimated standard error is:

The z-value for a 95% confidence interval is z=1.96.
Then, the lower and upper bounds are:

The confidence interval for the difference in proportions is

<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>
No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.
This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.
Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
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Answer:
21/5
Step-by-step explanation:
if a/b = c, then b=a/c
in other words:
divide -7/25 by -1/15 to get the answer
It also helps to use the fact that a/b / c/d = a/b * d/c
-7/25 / -1/15 = -7/25 * -15/1
= 105 / 25
= 21 / 5