Answer:
- x + 75 = 180, as these two angles form a straight angle.
- x = 180° - 75° = 105°
<u>y and x are supplementary angles as p is transversal of l and m:</u>
- y + x = 180°
- y = 180° - x = 180° - 105° = 75°
<u>z is same as 86° as vertical angles:</u>
<u>w and z are supplementary angles as g is transversal of l and m:</u>
- w + z = 180°
- w = 180° - z = 180° - 86° = 94°
The answer is

the probability of choosing an orange marble is 2/10 because there are 2 orange marbles and 10 marbles in total.
the probability of choosing a green marble is 2/9 because there are 2 green marbles and 9 marbles in total (because you already picked one marble out of the bag thereby decreasing the total number of marbles in all).
when you multiply the probability of these two events you get .04444 which is the probability of both events happening simultaneously.
2 triangle+square=23
square=60/triangle
2 triangle+60/triangle=23
2 triangle^2+60=23 triangle
2 triangle^2-23 triangle+60=0
solving quadratic equation we get
triangle=15/2 , 4
15/2 is not possible so triangle=4
square=15
To simplify this, first, multiply the whole equation with x to get rid of the denominator.
[ x + 3/9/x + 12/6] * x
Simplify 12/6 beforehand, which is 2.
[ x + 3/9/x + 2] * x
Distribute x to each of the terms
x2 + 3/9 + 2x
This is already a simplified equation. If you wan to further simplify by getting rid of the fraction, multiply the whole equation with 9 to eliminate the denominator.
[x2 + 3/9 + 2x]*9
9x2 + 3 + 18x
9x2 + 18x + 3 =0