Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
Answer:
Step-by-step explanation:
Considering the given triangle EDI, to determine ED, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
ED/SinI = DI/SinE = EI/SinD
Therefore
Recall, the sum of the angles in a triangle is 180°. Therefore,
I° = 180 - (36 + 87) = 57°
Therefore,
ED/Sin 57 = 26/Sin 36
Cross multiplying, it becomes
EDSin36 = 26Sin57
0.588ED = 26 × 0.839
0.588ED = 21.814
ED = 21.814/0.588
ED = 37.1 m
<span>JKL is a right triangle because JK ¯ ¯ ¯ ¯ ¯ is perpendicular to KL</span>
<span>The reciprocal of a fraction is simply the reverse
position of the original fraction, its numerator and denominator. It is
represented by the formula of 1/number (fraction). To get the reciprocal of the
number, divide one by the fractional number. You are given the number 6/5. So you
have a numerator of 6 and a denominator of five. Simply swap them and you get
the new numerator as 5 and the new denominator as 6. Or you can just divide
1/(6/5) then you will get 5/6. The answer is letter D.</span>
=> 8+x = 15 => x = 15-8=7