Marta gasto $60 en la compra de cuadernos iguales si cada cuaderno hubiera costado $2 más marta hubiera adquirido 80 cuadernos menos por los mismos $60 ¿cuántos cuadernos compró marta?

Step-by-step explanation:

The question in English is

Martha spent $60 to buy the same notebooks if each notebook had cost $2 plus Martha would have bought 80 fewer notebooks for the same $60. How many notebooks did Martha buy?

Let

x -----> the cost of each notebook

n -----> number of notebooks that Marta bought  

we know that

-----> -----> equation A  

substitute equation A in equation B and solve for x

Multiply by x both sides to remove the fraction

Using a graphing tool

Solve the quadratic equation

The solution is

x=$0.581

see the attached figure

Find the value of n

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh