K= 8. If you look at the pattern each x value is multiplied by 8 to give you the y value. You could also solve it by:
40=k5
40/5=k
8=k
you could do this with any of the x or y values and still end up with 8.
The consecutive integers are 85,86,87
Explanation:
n
:
the first number
n
+
1
:
the second number
n
+
2
:
the third number
n
+
(
n
+
1
)
+
(
n
+
2
)
=
258
3
n
+
3
=
258
3
n
=
258
−
3
3
n
=
255
n
=
255
3
n
=
85
n
+
1
=
85
+
1
=
86
n
+
2
=
85
+
2
=
87
A)
The question tells us that
y + z = 180
And
y=3x+20
z=x
So we put them in the first formula:
y + z = 180
(3x + 20) + x = 180
Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40
B)
Put x back in to equation to get size of each angle:
Y =3x +20
Y=3(40)+20
Y=120+20
Y=140
Z=x
Z=40
Verify: y+z=180
140+40=180
180=180
Answer:
8
Step-by-step explanation:
f(1)=7(1-1)+8
f(1)=7(0)+8
f(1)=0+8
f(1)=8
The first one is B hope this helps
