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ankoles [38]
3 years ago
6

The equations 3(4x) = (4x)3 illustrates which property?

Mathematics
2 answers:
viktelen [127]3 years ago
8 0
The property illustrated is the Commutative Property
zavuch27 [327]3 years ago
8 0
The commutative property
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Find the slope of the given points (6, -10) and (-15, 15). Show your work.
charle [14.2K]

Answer:

Step-by-step explanation:

The slope of a line between two points can be calculated by dividing the difference of y values by the difference of x values

in this case

m = \frac{y_2-y_1}{x_2-x_1} = \frac{15-(-10)}{-15-6} = \frac{25}{-21} = \frac{-25}{21}

6 0
3 years ago
10. What is the measure of angle C?<br> A. 25°<br> B. 30°<br> C. 60°<br> D. 75°
Reil [10]

Answer:

D

Step-by-step explanation:

x + 5 + 3x + C = 180                All triangles have 180 degrees.

4x + 5 + C = 180

But C must be equal to 3x. Notice the markings on the lets of the triangle.

4x + 5 + 3x = 180

7x + 5 = 180                          Subtract 5 from both sides

7x = 180 - 5

7x = 175

x = 25

But angle C = 3x

C = 3*25

C = 75

8 0
3 years ago
If the radius of the circle is multiplied by a factor of 3, then the area of the circle is multiplied by a factor of
Oksi-84 [34.3K]
\bf \textit{area of a circle}\\\\&#10;A=\pi r^2\quad &#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;r=\stackrel{r\times 3}{3r}&#10;\end{cases}\implies A=\pi (3r)^2&#10;\\\\\\&#10;A=\pi (3^2r^2)\implies A=9(\pi r^2)

notice, if the original area was πr², then the new area has a factor in front of it, that much.
8 0
3 years ago
Name 2 same side interior angles
nasty-shy [4]

Answer:

Lines a and b are parallel to each other! ... The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

Step-by-step explanation:

Study.com

3 0
3 years ago
You wonder if weather (rain, cloudy or sunny) makes a difference on mood (happy or not). To determine this, you sample the moods
gizmo_the_mogwai [7]

Answer:

2

Step-by-step explanation:

Drawing a table to show the different weather and mood options :

The degree of freedom :

________ WEATHER ________

__________Rain ____ sunny _____ cloudy

Happy

|

Not happy

Here, we have a contingency table formatted in rows and columns

The columns = 3

The rows = 2

Degree of freedom :

(rows - 1) * ( columns - 1)

(2 - 1) * (3 - 1)

1 * 2

= 2

The degree of freedom = 2

6 0
3 years ago
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