Answer:
y = -12
Step-by-step explanation:
-4 (8+3y) = 112
-32 -12y = 112
-12y = 144
y = -12
The measure of an arc is twice the measure of the inscribed angle that intercepts it.
m(arc)NL = 2 * 42 = 84
Frogs are at the pond = 12.
Given,
There are some frogs and some lily pads at a pond. If lily pads with frogs on them have two frogs each, then there are 3 lily pads with no frogs on them. If each lily pad has exactly one frog on it, then there are 3 frogs with no lily pad.
= 2( n-3) = n+3
= 2n -6 = n+3
=> n = 9
9 pads, 12 frogs.
Hence, Frogs are at the pond = 12.
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The diagonal of length 2r forms the hypotenuse of a right angled triangle with one leg ( the width of the rectangle) = x. So by Pythagoras:-
(2r)^2 = h^2 + x^2 where h = height of the rectangle
h^2 = 4r^2 - x^2
h = √ (4r^2 - x^2) answer
