las edades de maría y susana suman 56 años si la edad de maría es los 3/5 de la edad de susana ¿ que edad tiene maría?

1 answer:

4 0

Susana=s
maria=m

m= 3s/5

s+m=56
s+(3s/5)=56
(5s+3s)/5=56
8s=56*5
8s=280
s=280/8
s=35

35 --->5/5
x ---> 3/5

x= (3/5)*35 / (5/5)
x=21
edad de maria= 21 años

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on vacation sally stopped in Algebraville because of their famous pizza house pi-pizza. There they sold pizza by the slice. A sl

Eddi Din [679]

Answer:

600 Cheese and 900 Pepperoni

Step-by-step explanation:

Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).

In addition to the equation c + p = 1500(Number of pizzas sold)

Using the second equation (c + p = 1500) solve for one of the variables.

Lets use :

p = 1500 - c
Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
Distribute 2.5, 2c + 3750 - 2.5c = 3450
Combine like terms -0.5c + 3750 = 3450
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5 0

3 years ago

S KM ∥ JN? Why or why not?

bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because $\frac{16}{10}= \frac{24}{15}$

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

$LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\$

which is true as both sides simplify to $\frac{8}{13}$

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

$\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}$