An isosceles triangle has legs with length 11 units. which of the following could be the perimeter of the triangle? choose all that apply. explain your reasoning. a. 22 units b. 24 units c. 34 units d. 43 units e. 44 units

Let's deduce the base length for each option. Since the two legs are 11 units long, they sum to 22 units. The remaining units will be the base length:

First option is not feasible, because you can't have a base with length 0. Also, remember that in any triangle, the length of a side is strictly smaller than the sum of the lengths of the other two sides. So, the base must be smaller than 22, which excludes the last option.

So, all options are possible except the first and last one.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions