Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
let length = x
width is 7 feet less than length
width = x-7
area = length *width
area = x(x-7)
170=x²-7x
x²-7x-170=0
x²-17x+10x-170=0
x(x-17)+10(x-17)=0
(x-17)(x+10)=0
x=17 or x=-10
since length cannot be negative so x=17
and width =x-7 =17-7=10
length =17 feet and width =10 feet
5(3 - x) - 4(2 - 3x) > 2
15 - 5x - 8 + 12x > 2 <em>distributed 5 and 4 on the left side</em>
7 + 7x > 2 <em>added like terms (15 and -8) and (-5x and 12x)</em>
<u> -7 </u> <u>-7 </u>
7x > -5


Answer:
300000
Step-by-step explanation:
An easy way to solve this is find 6x5 which is 30 and then add all of the 0s at the end from the equation which is 4 zeros
Answer:
a). BLUE color
b). 20%
Step-by-step explanation:
a). "Which color was chosen by approximately one fourth of the students?"
Since one fourth of the students will be represented by one fourth area of the circle given.
That means color of choice represented by the quarter of the circle will be the color liked by one fourth students.
In the figure attached, BLUE color is the choice of one fourth students in the class.
b). Area represented by purple, green and other colors is a quarter of the circle.
If we divide this quarter into five equal sections, then the total of purple and green will be
of the the quarter of the circle.
Measure of the angle defined by purple or green sections = 
= 72°
Percentage of the students who preferred purple or green = 
= 20%