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3 years ago

This dot plot is not symmetric, and the data set has two

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

5 0

Answer:

The best measure of center for this dot plot is the median.

Step-by-step explanation:

miskamm [114]3 years ago

5 0

The median is your answer

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Which of the following statements is true? A. Congruent angles have the same measure. B. Congruent angles are complementary. C.

sesenic [268]

Answer:

A. Congruent angles have the same measure.

Step-by-step explanation:

In geometry, 2 objects are congruent if they have the same shape. As such, congruent angles are formed from such shapes. Irrespective of the unit of measurement (in degrees or radians), congruent angles are equal.

This is independent of the direction of the angles.

Hence the right option is

A. Congruent angles have the same measure.

3 0

3 years ago

Find the slope of the line that passes through (3, 7) and (6, 8).

OLEGan [10]

Answer:

Slope = 1/3

Step-by-step explanation:

Step 1: Define general form of equation of line

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

Step 2: Set up the system to solve for slope M of equation of line

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

Step 3: Solve the system of equations in step 2 for M

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

8 0

4 years ago

Read 2 more answers

True or False

kifflom [539]

Answer:

true
true
false
false

Step-by-step explanation:

One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.

1. translation by reflection

Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.

True: translation can be replaced by two reflections

2. translation by rotation

A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.

That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.

The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.

True: translation can be replaced by two rotations

3. rotation by reflection

As discussed above, reflection changes orientation and rotation does not.

However, a rotation can be replaced by two reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.

False: rotation can be replaced by reflection

4. reflection by rotation and translation

As discussed above, reflection changes orientation, but rotation and translation do not.

False: reflection can be replaced by rotation and translation

6 0

3 years ago

List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0

3 years ago

8.8 more than the quotient of five and X

Bezzdna [24]

Step-by-step explanation:

8.8 more than the quotient of five and X

Solution,

$8.8 + \frac{5}{x}$

3 0

3 years ago