Answer:
See attached image and explanation below.
Step-by-step explanation:
We notice that any quadrilateral abed can be divided into two triangles by drawing one of the quadrilateral's diagonals. See the attached picture where the quadrilateral is noted with a green perimeter, the diagonal is pictured in red, and the triangles that are form are shaded in light blue and beige.
Each of the triangles in which the quadrilateral is divided, has the property that the addition of its internal angles equals 180 degrees. From the picture we understand that in order to find what the addition of the internal angles of the quadrilateral is, all we need to do is to add all the angles in both triangles.
Such addition will render 360 degrees. And since the diagonal division can be done with a quadrilateral of any shape, we conclude that the addition of the internal angles of any quadrilateral should result in 360 degrees.
Answer:
D. 18
Step-by-step explanation:
The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°
= (5 - 2) * 180 = 540°
Therefore:
95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°
Solve for x
95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540
Add like terms
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
Convert this to slope-intercept form
subtract 1/4x,
3/4y=1-1/4x
then multiply my 4/3
y=4/3-1/3x
y=-1/3x+4/3
4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.
Answer:
the domain is {7,-4,1,4,}
the range is {1,-5,2,-7}
Step-by-step explanation:
Answer: 116 degrees.
Step-by-step explanation:
Interior angles of a triangle add to 180.
Knowing the first two angles are 36 and 28, you can subtract them from 180 to find the answer:
180 - 36 - 28 = 116
