Answer: ( yes i think) i hope this helps god bless
Step-by-step explanation: sorry if i am wrong
I believe that the answer is 100,000
Answer:
It is not a good model because neither point lies on the line.
Step-by-step explanation:
We can test each point on the equation of the line.
7x - 10y = 3
Point: (8, 5)
7(8) - 10(5) = 56 - 50 = 6
The left side equals 6, not 3, so point (8, 5) is not on that line.
Point: (-12, -9)
7(-12) - 10(-9) = -84 + 90 = 6
The left side equals 6 again, but the right side is 3, not 6.
Answer: It is not a good model because neither point lies on the line.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
