MATHEMATICS COLLEGE

The three perpendicular bisectors of a triangle intersect at the _______.Question 12 options:

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

Answers

Answer 1
Answer:

Answer:

  a)  circumcenter

Step-by-step explanation:

You want to know the name of the point of intersection of the three perpendicular bisectors of the sides of a triangle.

Circumcircle

Each side of a triangle is a chord of the circumscribed circle. The perpendicular bisector of a chord is a line through the center of the circle. Hence the point of concurrency of the perpendicular bisectors of the sides of a triangle is the center of the circumscribed circle.

The name of the center of the circle circumscribing a triangle is "circumcenter."

__

Additional comment

When the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse, which is a diameter of the circle.

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Answers

Based on the given information, we can determine the characteristics of the polygon MNOP.

1. MN || OP and NO || PM:

- This means that the opposite sides MN and OP are parallel, and the opposite sides NO and PM are also parallel.

2. m/M = 93°, m/N = 87°, m/O = 93°, m/P = 87°:

- These angle measurements indicate that the opposite angles M and O are congruent, as well as the opposite angles N and P.

Based on these characteristics, we can conclude that the polygon MNOP is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel. In addition, opposite angles of a parallelogram are congruent.

However, we cannot determine from the given information whether the polygon MNOP is specifically a rectangle, rhombus, square, or trapezoid. These classifications require additional information, such as side lengths or angle measures, to be determined.

Therefore, the correct answers are:

- Parallelogram

- Quadrilateral

Please note that rectangle, rhombus, square, and trapezoid cannot be confirmed based on the given information.

Which of the following is least like the others? Exit Test A road B street C highway D trail

Answers

A exit test because that's the one I think is right
A mark or a series of signs or objects left behind by the passage of someone or something is called trail whereas every other is place where we drive, transport

In short, Your Answer would be Option D

Hope this helps!

The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μ and standard deviation σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. To explore this, you test the hypotheses H0:μ=1.5, Ha:μ>1.5 and you obtain a P-value of 0.052. Which of the following is true? A. At the α=0.05 significance level, you have proven that H0 is true. B. This should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the α=0.05 significance level. C. There is some evidence against H0, and a study using a larger sample size may be worthwhile. D. You have failed to obtain any evidence for Ha.

Answers

Answer:

Step-by-step explanation:

This is a test of a single population mean since we are dealing with mean.

From the information given,

Null hypothesis is expressed as

H0:μ=1.5

The alternative hypothesis is expressed as

Ha:μ>1.5

This is a right tailed test

The decision rule is to reject the null hypothesis if the significance level is greater than the p value and accept the null hypothesis if the significance level is less than the p value.

p value = 0.052

Significance level, α = 0.05

Since α = 0.05 < p = 0.052, the true statement would be

At the α=0.05 significance level, you have proven that H0 is true. B.

−1.75 − 22/20
plz hlep
...and put as an exact decimal or simplified fraction

Answers

Answer:

-2.85

Step-by-step explanation:

I looked it up tbh

Answer:

-2.85

Step-by-step explanation:

Google it or Edge it or Firefox it

Look at this cube, please help

Answers

Let's find the current surface area of the cube.

A = 6a^2

A = 6

Now let's find the surface area of the cube when tripled.

A = 6(3^2)

A = 54

54/6 = 9

So, the answer should be the new surface area will be 9 times the old surface area.

Answer:the new surface will be 9 times the old surface area

Step-by-step explanation:

1/2x + 1 ⥸ 5
show your work

Answers

Answer:

x ⥶ 8

Step-by-step explanation:

1/2x + 1 ⥶5

x + 2 ⥶ 10

x ⥶ 10 - 2
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