Step-by-step explanation:
parallel lines have the same gradient..
y=x+7 has a gradient of 1.
If line J which is parallel to k has a gradient of 1 then they are the same.
gradient (m) =<u>∆</u><u>y</u>
∆x
=<u>y- </u><u>-</u><u>1</u><u> </u> = 1
x - - 3
= <u>y </u><u>+</u><u> </u><u>1</u>
x+3
y+1=x+3
y=x +3 +1
y = x + 4(equation for k)
Answer: x = 40
Step-by-step explanation:
these two angles are vertical angles, they will equal each other
therefore, move numbers and variables to the opposite sides of the = sign to isolate the X
3x-10 = 2x + 30
+10 +10 move the -10 by doing opposite
_____________
3x = 2x + 40
-2x -2x move -2x by doing opposite
____________
x = 40
you can check your work by substituting 40 in place of x
3(40) - 10 = 2(40) +30
120-10 = 80 + 30
110 = 110
answer is correct
56.57
Explanation:
In the process,
Diameter= 18,
Radius(r)=
18
2
∴
Radius= 9
Now,
Circumference (Perimeter) = ?
According to the formula,
Perimeter= 2
×
22
7
×
r
Taking the equation,
Perimeter= 2
×
22
7
×
r
2
×
22
7
×
9
396
7
56.57142857
56.57
Let's hope this helps you:)
Answer:
2/3
Step-by-step explanation:
im pretty sure that's the answer
Answer:
90
Step-by-step explanation: 9 + 6 = 15
So, then you would multiply 15 x 6 which equals 90