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.
75 - 15 = 60$ you subtract kind of doing it backwards in a sense to get your answer.
V = 2s^3
v = 2(3.5)^3 = 2(42.875) = 85.75 cubic units
Z = 114 + 2p
p = 46
Plug in 46 for 'p' in the first equation.
z = 114 + 2p
z = 114 + 2(46)
Multiply:
z = 114 + 92
Add:
z = 206
So the Zigzag river is 206 miles long.
Answer:
24
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
Given that each exterior angle is 15°, then
number of sides = 360° ÷ 15° = 24
