Solution:
Given:


Therefore, the measure of angle 2 is 115 degrees.

Therefore, the measure of angle 5 is 100 degrees.

Therefore, the measure of angle 13 is 65 degrees.
Start by adding up the total sales in 2011 and 2012. You can make approximate estimates for the bars that are between lines. Since everything is in millions, you can ignore the 6 zeros behind every number to speed up your calculation:
1) In 2011, Asia sold 250, America sold 325, Europe sold ~210, Africa sold 150. The total in 2011 was 250+325+210+150 = 935.
2) In 2012, Asia sold ~130, America sold ~280, Europe sold ~230, and Africa sold ~140. The total in 2012 was 130+280+230+140=780.
Now find the percent decrease. Percentage decrease is basically what percent of your original number was subtracted from that original number to get the new number.
Percent decrease is calculated by (1) calculating the decrease from original number-new number, then (2) dividing that decrease by the original number, and then (3) multiplying your quotient by 100% to get a percentage:
1) Your original number is 935, from 2011, because that's the year you started out with. Your final number is 780, from 2012. The decrease is: 935-780 = 155.
2) Divide 155 by your original number. 155/935 ≈ 0.17
3) Finally multiply your quotient from step 2 by 100% to get your percent decrease: 0.17*100% = 17%.
The answer is A) 17.
Answer:
782 in
Step-by-step explanation:
To find the length of fence, we have to find the perimeter first.
Given
Length = l = 25 feet 8 in
Width = w = 8 feet 8 in
Opening = o =3 feet 6 in
So,
we have to convert the lengths into same unit first
So,
l = (25*12)+8 = 308 in
w = ( 8*12) +8 = 104 in
O = (12*3) + 6 = 42 in
Perimeter = 2(l+w)
= 2(308+104)
=2(412)
=824
As the opening does not need fencing
Total fence = P - o
= 824 - 42
=782 in
or
65 feet 2 in ..
Your answer would be y = (-1/4)x - 1
Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.
This gives us:
-3 = (-1/4 × 8) + c
-3 = -8/4 + c
-3 = -2 + c
c = -1
So therefore the final answer is y = (-1/4)x - 1
I hope this helps!
Answer:
x = 135°
Least to greatest
90°, 90°, 90°, 135° and 135°
Step-by-step explanation:
All the angles in this pentagon adds up to 540
(x - 45) + x + (x - 45) + (x - 45) + x = 540
x - 45 + x + x - 45 + x - 45 + x = 540
Collect like terms and place them on either side
5x = 540 + 45 + 45 + 45
5x = 675
Divide both sides by 5 to make x on its own
x = 135°
Angle measures of the pentagon from least to greatest
135 - 45 = 90
90, 90, 90, 135 and 135