Step-by-step explanation:
The most remarkable and important property of triangles is that any polygon can be split up into triangles simply by drawing diagonals of the polygon. This fact forms the basis for understanding why the interior angles of polygons add up to 180(n-2) degrees.
hope it helps
2x + y = 3 is the blue boundary line...the shading is below the line which means 2x + y is less than or equal to 3
y - x = 2 is the red boundary line... the shading is above the line which means
y - x is greater than or equal to 2
ANSWER: 2x + y is less than or equal to 3 and y - x is greater than or equal to 2
Answer:
x=12
Step-by-step explanation:
142 and 3x+2 are supplementary angles when the lines are parallel
142+ 3x+2 = 180
Combine like terms
144+3x= 180
Subtract 144 from each side
144+3x-144=180-144
3x=36
Divide by 3
3x/3 = 36/3
x =12
Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.
Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.
So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.
It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.
2/4 is simplified to 1/2 and the question says to have denominator 4.
Hence, final answer is 1/4
Answer: 22, 38
3, 7
8, 12
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 22 and 38
--> 22 < P < 38
Perimeter = 2w + 2L
It is given that L = w + 5
Substitute P with 2w + 2L and substitute L with w + 5
22 < 2w + 2(w + 5) < 38
22 < 2w + 2w + 10 < 38
12 < 4w < 28
--> 3 < w < 7
Since L = w + 5, then w = L - 5
Substitute P with 2w + 2L and substitute w with L - 5
22 < 2(L - 5) + 2L < 38
22 < 2L + 2L - 10 < 38
32 < 4L < 48
--> 8 < L < 12
