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kiruha [24]
3 years ago
14

The legs of an iscosceles triangle have lengths 3x-1 and -x +27. The base has length 5x+1. What is the length of the base

Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer: 36

Step-by-step explanation:

The legs are given to be :

3x - 1 and -x + 27

The base = 5x + 1

One of the properties of an isosceles triangle is that two sides are equal , that is the two legs are equal. This means that

3x - 1 = - x + 27

3x + x = 27 + 1

4x = 28

x = 7

To calculate the length of the base, substitute x = 7 into the length of the base given , that is

Length of the base = 5(7) + 1

L = 35 + 1

L = 36

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Since we have all the values we can replace in formula (1) like this:

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Since is a right tailed test the p value would be:

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Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

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