Answer: x=120°
Step-by-step explanation:
What you are looking for is the value of the exterior angle of the regular polygon.
For a n-sided regular polygon, the external angle is given by the formula 360°/n.
Because the shape in this example is a regular triangle, the value of n is 3.
360°/n
=360°/3
=120°
Therefore, x=120°
Simple
like when you buy something at the store. the person is selling products to you
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
-3 - (- 5) = 2
-1 - (- 3) = 2
1 - (- 1) = 2
So you can see that the common difference is the 2.
The answer to the second question is option 3:
y = | x + 7 |
We can confirm it by substituting values in the equation.
For example:
if we do y = 0 then x = -7
if we do x = 0 then y = 7.
As corresponds in the graph shown.
Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4.
The quotient of x and "and" is constant.
k = y / x
Rewriting:
y = kx
You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
Answer:
4/3
Step-by-step explanation:
Given two points, we can find the slope by using
m = (y2-y1)/(x2-x1)
= (20 - -16)/(7 - -20)
= (20+16)/(7+20)
= 36/27
=4/3
Answer:
Step-by-step explanation:
If given tables in the picture show the proportional relationship,
Number of wheels (w) ∝ Number of buses (b)
w ∝ b
w = kb
Here, k = proportionality constant
k = 
Number of buses (b) Number wheels (w) Wheels per bus 
5 30
8 48 
10 60 
15 90 
Here, proportionality constant is 6.
Similarly, If number of wheels (w) ∝ Number of train cars (t)
w = kt
Here, k = proportionality constant
k = 
Number of train cars(t) Number of wheels(w) Wheels per train car (
)
20 184 
30 264 
40 344 
50 424 
Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.