All of the angles added together MUST equal 180 degrees, so take 180 and subtract 84 from it.
Therefore, the third angle is a 96 degree angle.
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees
Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides
Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°
An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees
Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120
This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees
Hope this helps :)
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
+ y = -1 ⇒ y = 
- 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope 
by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
***************************************************************************************
y = 4 + ⇒ y = + 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
***********************************************************************************
You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
Let 'a' be the point and 'A' be the reflection of point 'a' through line x= -3
we know, (a+A)/2 (mid point of line aA) should lie on line x= -3
so by using this, we calculate vertices of reflected shape of MAST, we get
(-3,-1), (-3,2),(-5,3) and (-7,1)
