Answer:
r = -4
Step-by-step explanation:
If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.
This creates the equation 1-8r=13-5r.
Now it's just simple algebra.
You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.
Checking our answer, you see that 1-8(-4)=1-(-32)=1+32=33, and 13-5(-4)=13-(-20)=13+20=33.
Since the angles add to 180°, angle F is 72°.
Using the law of sines,
DF/sin72° = 24/sin45°
x = 32.28
So, did you just guess at A?
This is just an answer from another website, but it should still work.
Answer:
20/3
Step-by-step explanation:
Every nth term takes the form of a + n*d, where a is the first term.
So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).
equate them both:
94 - 13d = 54 - 7d
40 = 6d
d = 40/6

By the quadratic formula,

Then


Multiply numerator and denominator by the denominator's conjugate:

Answer:
I will attach the missing drawing with the answer.
9.b)
Plane JKM
Plane JLM
Plane KLM
Step-by-step explanation:
The drawing for this question is missing. I will attach it with the answer.
9.a) Plane JKL is not an appropriate name for the plane because all of three points lie in the same line.
Through a line pass infinite planes. The plane JKL doesn't define a unique plane. That's why plane JKL isn't an appropriate name for the plane.
9.b) We can name the plane using three points that don't lie in the same line.
Three possible names for the plane are :
Plane JKM
Plane JLM
Plane KLM