Answer: The length of the base is 10.
Step-by-step explanation:
You can draw an isosceles triangle like the one shown attached.
An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

Simplify the expression:

Use the quadratic formula, where:


Then:


Choose the positive value, because lengths are not negative.
Substitute the value of x into the base 2x. Therefore, the answer is:

Answer:
n<-27
Step-by-step explanation:
you have to get n by itself, to do this divide -3 from both sides of the equations.
-3n/-3<81/-3
n<-27
the answer is n<-27
Step-by-step explanation:
total = ¼(sale $ + marathon $)
253.75 = 1/4(184.6 + m)
1,015 = 184.6 + m
m = $830.40
<h3>
Answer: 3 bottles of brand A</h3>
Explanation:
The pricing/cost information is not used in this problem. All we care about is the number of bottles, and how much each bottle can hold.
Brand A bottles hold 0.95 liters each. We bought 3 of these bottles, so 3*0.95 = 2.85 liters in total are purchased.
Brand B bottles hold 0.55 liters each. Buying 5 of them leads to 5*0.55 = 2.75 liters in total.
Going with the brand A option leads to more juice by 0.10 liters (subtract 2.85 and 2.75)