The number of pennies in bank is 42
<em><u>Solution:</u></em>
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in piggy bank
Let 3x be the number of quarters in piggy bank
<em><u>To find: number of pennies</u></em>
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in bank is 42
We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)
so
ST²=RT*QT
RT=7 in
QT=23+7-----> 30 in
ST²=7*30-----> 210
ST=√210-----> 14.49 in
the answer is
RT=14.49 in
Your x will be -60 because you subtract 9x from 8x that equal-1 and you divide it by 60 because if you add 42+18 it will be 60 so you divide 60 by -1 and the answer will be -60
