Answer: option A) 1/3
Justification:
1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:
area of the shaded region
---------------------------------------
area of the hexagon
2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.
3) Therefor,naming x the area of one triangle, the the above fraction is equal to:
area of two triangles 2x
------------------------------- = -------- = 2/6 = 1/3
area of six triangles 6x
And that is the answer: 1/3
</span>
Given: ∠A is a straight angle. ∠B is a straight angle.
We need to Prove: ∠A≅∠B.
We know straight angles are of measure 180°.
So, ∠A and <B both would be of 180°.
It is given that ∠A and ∠B are straight angles. This means that <u>both angles are of 180°</u> because of the <u>the definition of straight angles</u>. Using <u>the definition of equality</u>, m∠A=m∠B . Finally, ∠A≅∠B by <u>definition of congruent. </u>
Answer:
(6,2)
Step by Step explanation:
1- Add the two equations so the Xs cancel out
2- find y by dividing 6 from both sides
3- plug in the y value in the place of the y in one of the equations
4- solve the equation to find X
5 - put answer in correct format (x,y)
Answer:
Step-by-step explanation:
This is basic trigonometry.
And finally perimeter (p):
9514 1404 393
Answer:
x = 52
Step-by-step explanation:
The square corner symbol indicates the sum of the marked angles is 90°. (They are complementary.)
(x +3)° +35° = 90°
x° = 90° -38° = 52°
x = 52
