Option D:
Segment DF
Solution:
Let us first define the relationship between the side and angle in triangle.
<u>Relationship between the side and angle in triangle:</u>
- The shortest side is always opposite to the smallest interior angle.
- The largest side is always opposite to the largest interior angle.
To find the largest side in ΔDEF:
Largest angle in ΔDEF is ∠E = 73°
So, the side opposite to 73° is DF.
Therefore, Option D is the correct answer.
Hence the segment DF is the longest side in the ΔDEF.
Area=length times width
area=28
length=7
28=7 times width
divide both sides by 7
4=width
the width is 4 miles
and perimiter is 22mi
First let's find how much is 15% of 8500 voters.
To do that, we can multiply 15 by 8500 and then divide by 100.
Work: 15 x 8500 = 127500
127500/100 = 1275
Therefore 15 percent of 8500 is 1275.
Then, we subtract 1275 from 8500 to find the amount of people who did vote.
8500 - 1275 = 7,225
Thus, 7,225 people voted while 1,275 people did not.
Answer:
X = 3
Step-by-step explanation:
12x - 8y = -12
6x + 4y = -30
Multiply the 2nd equation by 2, to make the Y coefficients opposite:
6x + 4y = -30 x 2 = 12x + 8y = -60
Now add the two equations:
12x -8y = -12 + 12x +8y = -60
= 24x = -72
Divide bothe sides by 24 to solve for x:
x = -72/24
x = -3
Now replace x with -3 in the first equation to solve for y:
12(-3) - 8y = -12
-36 - 8y = -12
Add 36 to each side:
-8y = 24
Divide both sides by -8 to solve for y:
y = 24 / -8
y = -3
X = -3 and y = -3
(-3,-3)
