Marsha has $2.20 in her piggy bank. she has 5 times as many pennies as nickels. she has 3 more dimes than nickels. she has 3 times as many quarters than nickels. how many nickels does she have?

Step-by-step explanation:

If you set aside the excess dimes, the coins can be grouped as ...

  {1 nickel, 5 pennies, 1 dime, 3 quarters}

The value of this group is $0.95, and the total value of all groups is ...

  $2.20 - 3×0.10 = $1.90

So, the number of groups is ...

  $1.90 / $0.95 = 2

That means Marsha has ...

  2 nickels

The other coins Marsha has are 10 pennies, 5 dimes, and 6 quarters, for a total amount of $0.10 + 0.10 + 0.50 + 1.50 = $2.20.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq