Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of
, we need to add together all the interior angles and equal it to 720, then solve for
.
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10
- 5) + 108 + (8
- 3) + (14
- 25) + 133 + 128 = 720
Collect like terms:
10
+ 8
+ 14
- 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32
+ 336 = 720
Subtract 336 from both sides:
32
= 384
Divide both sides by 32:
= 12
Answer:
there is a cluster from 1-4
there is a gap from 5-7
The spread is from 1-8
Step-by-step explanation:
These are all true if you look... there is a bunch from 1-4, there is none from 5-7, and all of them are within 1-8, but the highest amount isn't at 3.
Answer:
B
Step-by-step explanation:
One way to tell is to put both equations into slope-intercept form. That form is usually written
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Solve the first equation for y.

The slope of this line is -3, and its y-intercept is 5/2.
Solve the second equation for y.

The slope of this line is -3 and its y-intercept is 2.
The lines are parallel because they have the same slope and <u>different</u> y-intercepts. There is no solution to the system.
The answer will be 656 but i cant really explain how to draw a model with the question sorry
Answer: 101.69
Step-by-step explanation:
Formula we use to find the z-score :-
(1)
Given : 

Daniel's z score : z= 1.67
Let x be the raw score for Daniel's exam grade, then substitute the values of
in (1), we get

Hence, the raw score for Daniel's exam grade = 101.69