Answer:
when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.
Step-by-step Explanation:
The relationship between an intercepted arc and an inscribed angle is given as:
the measure of the intercepted arc = twice the inscribed angle that intercepts it.
Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.
Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.
Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."
Answer:
x=50
Step-by-step explanation:
67=x+17
67-17=50
x=50
Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles
Answer:
I think the answer is C.
Step-by-step explanation:
Have a good day ;-).
Answer:
The notation p ∧ q represents the statement “The book is interesting
✔ and <-- Answer
the book has pictures.”
The notation p ↔ q represents the statement “The book is interesting
✔ if and only if <-- Answer
the book has pictures.”
The notation q ∨ p represents the statement “The book has pictures
✔ or <-- Answer
the book is interesting.”
The notation q → p represents the statement “The book is interesting
✔ if <-- Answer
the book has pictures.”
Step-by-step explanation:
I took the test aswell.
