Angle 2 is also 122 because angles that are across from eachother (vertical angles) are always equal.
Correct answer= A
Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
1/5 is the answer. How to slove: You turn the mixed number into an improper fraction which would be 15/4 =, because 4(3)= 12 + 3 = 15 and the denominator stays the same so it would be 15/4. Next, multiply ( the but dont forget to "flip" the improper fraction so it's 4/15) 3/4(4/15)= 1/5
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
Let a be the number of adults which bought a ticket and c the number of children who bought a ticket. We can use the information given to assemble a system of equations.
Tickets cost 8 dollars for a, 1 dollar for c, and the total amount made is 100
8a + c = 100
The total of a and c is 30
a + c = 30
We can now subtract one equation from the other to use the elimination method to solve the system.
8a + c = 100
-(a + c = 30)
7a + 0 = 70
We can now solve for a.
7a = 70
a = 10
There were 10 adults who bought tickets. We can use this value as a known, plugging it into an equation to solve for the number of children.
a + c = 30
10 + c = 30
c = 20
So, the final answer is "20 children and 10 adults Equation 1: a + c = 30 Equation 2: 8a + c = 100".
