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:
23X
Step-by-step explanation:
Answer:
First term (a) =8
Common difference (d)= t2-t1
=12-8
=4
Now, sum of first 31th term (tn31) =n/2{2a+(n-1)d}
= 31/2{2×8+(31-1)4}
=31/2{16+(30×4)
=31/2(16+120)
=31/2×126
=31×63
Step-by-step explanation:
Similarly use 19 as (n) for the 19th term
We can't use P = 2L + 2W because the sides have different lengths.
P = a + b + c + d
a = x
b = 2x
c = 2x - 2
d = x + 5
P = x + 2x + (2x - 2) + (x + 5)
P = <u>x + 2x + 2x</u> - 2 <u>+ x</u> + 5
P = 6x + 3
if x = 4:
P = 6 · 4 + 3
P = 24 + 3
P = 27
