Answer:
1) x = 60° ; y = 70°
2) x = 50° ; y = 80°
3) x =110° ; y = 60°
4) x =60° ; y = 90°
Step-by-step explanation:
1)
We have to find the interior angle y
= 180 - 120
= 60°
Now we have to find x
=180 - (60 + 50)
= 180 - 110
= 70°
2)
We know that opposite angles are equal
So therfore y = 80°
x = 180 - 80 + 50
x = 180 - 130
x = 50°
3)
According to the figure we see that x+y=180
Exterior angle = sum of two interior angle
So, x = 50 + 60
x = 110°
Now we substitute in the x value
x + y = 180
110 + y = 180
y = 180 - 110
y = 70°
4)
Opposite angles are equal
x = 60°
The figure is a right angle triangle
So,
y =90°
Answer:
Step-by-step explanation:
To find the equation, use the slope-intercept formula:
m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:
Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Solve:
Since both are negative, the result is a positive:
Insert this into the equation as m, the slope:
Done.
Answer:
x =28
Step-by-step explanation:
Divide the numbers
Combine multiplied terms into a single fraction
Eliminate fraction denominators
Simplify
Divide both sides of the equation by the same term
Answer: 27
Step-by-step explanation: You have to divide. 814 divided by 31 is 26.2580645161, but you can round it to 27 so everyone can be on the bus, but with extra spaces
Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66
Area = 4.24 x 5.66 = 24 square units.