Answer:
m∠I = 45.2°
Step-by-step explanation:
From the picture attached,
By applying cosine rule in in ΔHIJ,
Cos(∠I) = 
= 
= 
m∠I = 
= 45.21
= 45.2°
Therefore, 45.2° will be the correct option.
Answer:
y=6/7x+11/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-5)/(-3-4)
m=-6/-7
m=6/7
y-y1=m(x-x1)
y-5=6/7(x-4)
y=6/7x-24/7+5
y=6/7x-24/7+35/7
y=6/7x+11/7
You'll first Cross multiply: 5× 3x
that'll give you 15x.
15x=12(12 is a numerical constant).
Divide both sides by the the coefficient of X .That is 15x/15= 12/15
Therefore the answer is 12/15= x
Answer:
(-2,-1,-3)
Step-by-step explanation:
5x-4y-3z=3
x+y-z=0
x=3y+1
Multiply the second equation by -3
-3(x+y-z)=0*3
-3x-3y+3z =0
Add this to the first equation to eliminate z
5x-4y-3z=3
-3x-3y+3z =0
--------------------
2x-7y =3
Substitute x =3y+1 into the above equation
2(3y+1) -7y=3
Distribute the 2
6y +2 -7y = 3
Combine like terms
-y+2 =3
Subtract 2 from each side
-y+2-2 = 3-2
-y = 1
Multiply by -1
-y*-1 = 1*-1
y =-1
We need to find x
x=3y+1
x =3(-1) +1
x =-3+1
x= -2
Now we need to find z
x+y-z=0
-2+-1-z=0
-3-z=0
Add z to each side
-3-z+z=0+z
-3=z
x=-2, y=-1 z=-3
(-2,-1,-3)
