Answer:
I think it is 30 inches
Step-by-step explanation:
For part A, if P is the center of that triangle, then PR and PT have the same length; therefore, triangle RPT is isosceles. For part B, by the definition of an incenter...if P is an incenter, then it is the place where all the angle bisectors meet. Therefore, angles SRP and PRT are congruent, as are angles STP and PTR. Since the vertex angle measures 64, then each of the base angles by the isosceles triangle theorem measure 58. Half of 58 makes the base angles within the smaller triangle measure 29. And if both of those measure 29, by the triangle angle-sum theorem, 180-29-29 = 122 And that's the measure of angle RPT. Eek.
If you're looking for the dashed line, here it is.
Answer:
1) The parabola equation faces up
2) The y-intercept = a·b
3) The zeros are x = a and x = b
Step-by-step explanation:
1) The given information are;
f(x) = (x - a)·(x - b) which gives;
f(x) = x² - (b+a)·x + a·b
For an equation of the form a·x² - b·x + c, if a is positive, then the parabola faces up, therefore, the parabola equation, x² - (b+a)·x + ab where a is equivalent to +1 faces up
2) The y-intercept is given at x = 0, which gives;
f(0) = 0² - (b+a)·0 + a·b
The y-intercept = a·b
3) From f(x) = (x - a)·(x - b), when f(x) = 0, we have either;
(x - a) = 0 or (x - b) = 0
Therefore;
The zeros are x = a and x = b
Answer:
85°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
180 = y + 37 + 58
y = 180 - 37 - 58
y = 85
