The values of x and y are 15 and 7 respectively
The angles formed from the intersection of two lines at X are equal and vertically opposite angles.
From the figure shown, we can conclude that:
2(5x-5) = 6x + 50 (vertically opposite angle)
Expand
10x - 10 = 6x + 50
10x - 6x = 50 + 10
4x = 60
x = 60/4
x =15
Similarly;
5y + 5 = 7y - 9
Collect the like terms;
5y - 7y = -9 - 5
-2y = -14
y = 14/2
y = 7
Hence the values of x and y are 15 and 7 respectively
Learn more here: brainly.com/question/15198257
Answer:
The diagonal is 421.
Step-by-step explanation:
This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation;
(A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.
The B and H = 416. Plug it into the equation now;
Now that you have done that, we know that the area of our new triangle is 86,528.
The diagonal is: 
720 miles traveled on 60
gallons of gasoline.
Express this on its Unit Rate.
To get the answer, we need to divide 720 miles by 60 gallons of gasoline
=> 720 / 60 = 12 miles /gallons
Thus, in every 1 gallon of gasoline, you can travel 12 miles.
So, the expression would be like this:
720 miles / 60 gallons = 12 miles / gallon
Let’s check our answer
=> 12 miles x 60 gallons = 720 miles.
Thus, we got the correct answer.
Answer:
y = 6 so
2x + 3y = 36y is equal to:
2x + 3*6 = 36*6
-> 2x + 18 = 216
We must now move 18 to the other side of the equation. As we do that, we also change it's sign to negative 18:
2x = 216 - 18
We simplify this
2x = 198
Now, that we got to this point, we know that 2x is equal to 198. To find x we must divide the both sides of the equation by two:
2x/2 = 198/2
And we get that
x = 99
Step-by-step explanation:
Answer:
y=18.5x
Step-by-step explanation:
74-55.5=18.50
92.50-74=18.50
111-92.5=18.50
(3,55.50)
y=18.5x +b
55.50=18.5(3)+b
55.50=55.50+b
b=0