Hello!
We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:
(angle 1) + (angle 2) + (angle 3) = 180
Insert all known values and variables of triangle ABC into the formula above:
30 + (80 + y) + y = 180
Simplify and combine like terms:
30 + 80 + y + y = 180
110 + 2y = 180
Now subtract 110 from both sides of the equation:
2y = 70
Divide both sides by 2:
y = 35
We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:
y + y + x = 180
(35) + (35) + x = 180
Combine like terms:
70 + x = 180
Subtract 70 from both sides of the equation:
x = 110
We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.
I hope this helps!
Answer:
Number of seats available is 16875
Step-by-step explanation:
we are given
total number of seats =45000
so, N=45000
If tickets have been bought for 5/8 of the seats for the next game
So, total seats booked is
now, we can find number of seats available
Number of seats available = (Total number of seats)-(Number of seats occupied)
so, we get
Number of seats available is
=45000-28125
=16875
First you have to put them in numerical order.The median is the middle number so the answer would be 52.
The absolute value inequality is given by:
|x| <= 7
<h3>What is the absolute value function?</h3>
The absolute value function is defined by:
The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0.
Looking at the graph, it comprehends points that are at a distance of at most 7 units to the origin, hence the absolute value inequality is given by:
|x| <= 7
More can be learned about the absolute value function at brainly.com/question/24734454
#SPJ1
Step-by-step explanation:
y=-3+5x
substitute y into equation 2
3x-8y=24
3x-8(-3+5x)=24
3x+24-40x=24
x=0
y=-3+5(0)
y=-3
(x,y)=(0,3)
