Hey!!
Total angle - 180
... 2x + 4 + 2x - 9 + x = 180
... 4x - 5 + x = 180
... 5x - 5 = 180
... 5x = 185
... x = 185 / 5
... x = 37
Hope my answer helps!!
Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Step-by-step explanation:
Given two points are:
Slope intercept form of line is given as:
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
Putting the values
Putting the value of slope in slope-intercept form we get
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
Putting the value of b
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is:
He wil eat a total of 55.2 hot dogs. there 60 seconds in a minute . he plans to eat 1 hotdog in every 13 seconds . you divide 60 by 13 . he will eat 4.6 hot dogs in a minute . then you multiply 4.6 by 12.
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
