A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?

There are 3 quarters , 9 dimes and 14 pennies.

Step-by-step explanation:

Let x= Number of quarters

Then, Number of dimes = 3x

Number of pennies = 3x+5

1 quarter = $ 0.25

1 dime = $0.10

1 penny = $ 0.01

So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)

= 0.25x+0.30x+ 0.03x+0.05

= 0.58x+0.05

Since Total amount = 1 dollar and 79 cents = $ 1.79  [1 cent = $ 0.01]

So,

Thus, there are 3 quarters , 9 dimes , 14 pennies.

step-by-step explanation:

if x = 2 you have to find x to finish the problem

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.