A. Add up to 180 degrees. Hope this helps.
We know that
<span>When two chords intersect each other inside a circle, the products of their segments are equal (</span>Intersecting Chord Theorem)<span>
</span>so
in this problem
AE*EB=DE*EF----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?
EB=DE*EF/AE-----> EB=12*8/4----> EB=24 in
the answer is
EB=24 in
Answer:
y = 167°
Step-by-step explanation:
The vertex of the triangle = 154° ( alternate angle to 154° )
The triangle has 2 equal legs so is isosceles with 2 base angles congruent
base angle =
=
= 13°
base angle and y are adjacent angles, lie on straight line AB and sum to 180°
y + 13° = 180° ( subtract 13° from both sides )
y = 167°
Since we know there are π radians in 180°, then how many radians are there in 153°?
The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given
Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known
Here, if we use cos x =
we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star
Note: cos values for each x are definite.