Hello from MrBillDoesMath!
Answer:
96 degrees
Discussion:
The base angles of an isosceles triangle are equal and a triangle has 180 degrees. In our case this means that
42 + 42 + (measure of vertex angle) = 180
84 + (measure of vertex angle) = 180 => (subtract 84 from both sides)
84 - 84 + (measure of vertex angle) = 180- 84 =>
(measure of vertex angle) = 180- 84 = 96
Thank you,
MrB
The formula for average velocity between two times t1 and t2 of the position function f(x) is (f(t2)-f(t1)) / (t2-t1)
Plugging the values in for the first time period we get (f(2.5)-f(2)) / (2.5-2)
=> (f(2.5)-f(2)) / 0.5
f(2) will be the same for all 4 time periods and is
48(2)-16(2)^2 = 32
Now we plugin the other values
f(2.5) = 48(2.5)-16(2.5)^2 = 20
f(2.1) = 48(2.1)-16(2.1)^2 = 30.25
etc.
f(2.05) = 31.16
f(2.01) = 31.8384
Now plug these values into the formula
(20-32)/0.5 = -24
(30.25-32)/0.1 = -17.5
etc.
= -16.8
= -16.16
Final answer:
2.5s => -24 ft/s
2.1s => -17.5 ft/s
2.05 => -16.8 ft/s
2.01 => -16.16 ft/s
Hope I helped :)
Answer: Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.
X is 50. The lengths of the radii extending out from the center to the chords are the same length, therefore, the chords are the same distance from the center and have the same measure.
