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Kipish [7]
3 years ago
14

What is the measure of Angle R?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
6 0

Answer:

60°.

Step-by-step explanation:

You might be interested in
What is the measure of major B 84° O 276° O252° O 84° O 168 arc AB? A​
alekssr [168]

Answer:

A - 84°

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle that intersects it.

The central angle of this circle measures 84° and it intercepts arc AB, meaning arc AB measures 84°

4 0
1 year ago
If f(x) = -4x^2 - 6x - 1 and g(x) = -x^2 - 5x + 3, find (f + g)(x).
Flauer [41]

Answer:

-5x^{2}-11x+2

Step-by-step explanation:

-4x^{2} \\-6x-1-x^{2}-5x+3=-5x^{2}-11x+2

7 0
3 years ago
How to I make 3x+6y=18 into y=my+b
kirza4 [7]

Answer:


Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :


                    3*x+6*y-(18)=0


Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :


  3x + 6y - 18  =   3 • (x + 2y - 6)


Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0


This equation has no solution.

A a non-zero constant never equals zero.


Equation of a Straight Line

2.2     Solve   x+2y-6  = 0


Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).


"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.


In this formula :


y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis


The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-6  = 0 and calculate its properties


Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000


 y-intercept = 6/2  =  3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000


 x-intercept = 6/1  =  6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)


   Slope     = -1.000/2.000 = -0.500

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3


3 0
3 years ago
A company is developing a new high-performance wax for cross country ski racing. In order to justify the price marketing wants,
andrew11 [14]

Answer:

A)Yes they should market the wax, because it melts before 55 seconds

C) Null hypothesis: mean <55 vs. Alternative hypothesis :mean =55

D) the value is 51.33 seconds

Step-by-step explanation:

The selected samples for the champion are : 57.9, 62.9, 50.6, 50.5,48.2,47.2,50.2 and 43.1

The mean is ;

Sum =57.9 + 62.9 + 50.6 + 50.5+48.2+47.2+50.2+ 43.1 =410.6

Mean= 410.6/8 =51.33= mean

Assuming Significant =0.05 thus applying this level will give you 51.28-51.38

if specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion, then the null hypothesis is correct

Then;

Null hypothesis: mean <55

Alternative hypothesis :mean =55

7 0
3 years ago
Which geometric figure has 72 rotational symmetry?
tiny-mole [99]

Answer:

Step-by-step explanation:

Pentagon

So, Pentagon has 72 degree rotational symmetry.

6 0
3 years ago
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