Answer:
C) 48.3
Step-by-step explanation:
The lines are parallel, meaning that when the third line is intersecting them both, the angles formed will be exactly the same. The top angle that is to the right is 25°, meaning that he bottom angle to the left is 25°. All that is left is to find the last two angles in order to find out what the answer to the equation is. The 25° angle is next to a triangle causing the lines to be flat, or 180°.
180 - 25 = 155
That means the bottom angle to the right is 155. In order to find x, subtract 10 and divide by 3.
3x + 10 - 10 = 155 - 10
3x = 135
3x/3 = 135/3
x = 48.3
<u>Given</u>:
The system of linear equations are
and 
We need to determine the solution to the system of equations using substitution method.
<u>Solution</u>:
The solution can be determined using the substitution method.
Let us substitute
in the equation 
Thus, we have;




Thus, the value of y is -17.
Substituting
in the equation
, we get;


Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)
B 3:7
If there are 6 mops, and 14 mops and brooms, you get 6:14, which simplifies to 3:7.
The second choice - 3.1%
All you have to do is multiply the probability by itself five times to get the total probability for the next five days.
1/2*1/2*1/2*1/2*1/2
= 1/2!
= 1/32
= 0.0313
= 3.13%
3.13 rounded off to the nearest tenth is 3.1%
There is 3.1% probability that Shania will arrive at school on time for the next five days.