Answer: the statement “measure of <4 is 105 degrees” is incorrect.
Explanation: This is because since both angles 1 and 3 are vertical, this means they are both 95. This gives us 190 (95x2). Now we subtract this from 360 which gives us 170. Since angles 2 and 4 are vertical, we divide by 2, which gives us 85, not 105.
Hope this helps! :)
The line x = -11.4 is perpendicular to the x-axis and contains point
(-11.4 , 12.8)
Step-by-step explanation:
Let us revise the equations of the vertical lines and horizontal lines
- The vertical line is a line parallel to y-axis
- The x-coordinates of all points lie on the line are equal
- The equation of the vertical line basses through point (a , b) is x = a
- The horizontal line is a line parallel to x-axis
- The y-coordinates of all points lie on the line are equal
- The equation of the horizontal line passes through point (a , b) is y = b
- The vertical line and the horizontal line are perpendicular to each other when intersect each other
∵ The line is perpendicular to the x-axis
∴ The line is a vertical line
∴ The equation of the line is x = a, where a is the x-coordinate
of any point lies on the line
∵ The line contains point (-11.4 , 12.8)
∵ The x-coordinate of the point is -11.4
∴ a = -11.4
∴ The equation of the line is x = -11.4
The line x = -11.4 is perpendicular to the x-axis and contains point
(-11.4 , 12.8)
Learn more:
You can learn more about the linear equation in brainly.com/question/13168205
#LearnwithBrainly
Answer: The slope = 5.
Step-by-step explanation:
The equation of a line in the slope -intercept form is given by :-

,where m= slope , c= y-intercept.
The slope of a line represents the rate of change of y with respect to x.
Given: Equation of line : Y= 5x+12
Here Slope (m)=5
Hence, the slope = 5.
No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)
Answer:

Step-by-step explanation:
So we have the system of equations:

And we want to multiply the first equation by some constant such that the resulting equation matches the coefficient of [x] in the second equation.
We can see that the coefficient of x in the second equation is 15.
So, to match 15, we must multiply the first equation by 3. So:

Multiply:

And we're done!