The answer is x=3
I hope this helps
NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Answer:
Emergency
Step-by-step explanation:
Answered already
Answer:
1:
<A=½(arcJL)=½(70+120)=35+60=95°
[inscribed angle is half of central angle]
2:
<W=½arcVX=½(130)=65°
[inscribed angle is half of central angle]
3.
<E=½(arcDC)=½(90)=45°
[inscribed angle is half of central angle]
4.
<R=½(arcXZ)=½(110+62)=86°
[inscribed angle is half of central angle]
5.
<B=½(arc DC)=½×104°=52°
[inscribed angle is half of central angle]
6.
<K=90°
[inscribed angle in a diameter is complementary]
<K+<J+<L=180°(sum of interior angle of a triangle]
<L=180°-90°-53°=37°
again
arc JK=2×<L=2×37=74°
Answer:
2.5 ft
Step-by-step explanation:
The figure for the given scenario is shown below.
There are two right angled triangles, ΔACD and ΔBCD
The height of flag staff is represented by segment AB, BC is the height of pedestal stand , D is a point on the ground that makes angles 30° and 60° with the bottom and top of staff at B and A respectively.
AB = 5 ft. Let the height of pedestal stand be 
ft and the distance of point D from the bottom of stand be 
ft as shown in the figure.
Now, from ΔACD,
From ΔBCD,
Plug in the value of in the first equation and solve for .
.
Therefore, the height of the pedestal stand is 2.5 ft.
