3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
If the bigger pentagon has side length of 5 units and the smaller pentagon has side length of 1 unit, you can know that the dilation was 1/5 = 0.2
This means that the sides of the big pentagon were multiplied by 0.2 to obtain the smaller pentagon.
Answer:
Joan drive with a speed of 55 miles per hour.
Step-by-step explanation:
Given:- Travelling time (t) = 4 hours.
Travelled distance (d) = 480 miles.
Speed of Justin is 10 miles per hour faster than Joan.
To find:- Speed of Joan = ?
Solution:-
Let speed of Joan be x,
therefore speed of Justin = x+10 ---------------(from given)
Now, Total speed of Joan and Justin = x+x+10
Total speed of Joan and Justin = 2x+10 ------------(1)
Now formula for speed is,
Speed = 
-------------(from 1 and given)
as x is the speed of Joan,
Therefore Joan drive with a speed of 55 miles per hour.
Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2
