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

36

Step-by-step explanation:

We know the legs of an isosceles triangle are equal.

Therefore 3x-1 = -x+27

We can add x to both sides to get 4x-1=27

Add 1 to both sides to get 4x=28

Divide each side by 4 to get x=7

We can plug x into the base equation 5x+1

5(7)+1 = 35+1 = 36

The base length is 36

Step-by-step explanation:

As it is an isosceles triangle, 3x - 1 = -x + 27

3x - 1 = -x + 27

3x + x = 27 +1

     4x = 28

       x = 28/4

      x = 7 units

Length of the base = 5x + 1 = 5*7 + 1 = 35 +1 = 36 units

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.