M<2=4x+12
Someone help

X=12. So this one says that it has 3 congruent sides so therefore it has to have 3 congruent angles. Here we have angle 2 and we have angle 60. Given the definition of triangle congruence, we can say that 60 is angle 2 and that the third angle is also 60 but it’s not relevant in this problem. So knowing that angle 2 is 4x+12 we solve for x by seeding that equal to 60 and then solving for x we get x=12. Hope this helps

m∠2 =60

60=4x+12

subtract 12 from both sides

60-12=4x+12-12

60-12=4x

48=4x

divide both sides by 4

48÷4=4x÷4

48÷4=x

x=12

Plug it into the equation

4(12)+12=

48+12=

m∠2 =60

another proof is that they are congruent

I hope this is good enough:

To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]

V = 5 * 2 1/2 * 1 1/2

V = 12 1/2 * 1 1/2

V = 18 3/4cm³

Now that we know the volume, we can check each answer choice.

Option A:

5 ∙ 2 1/2 ∙ 1 1/2

12 1/2 * 1 1/2

18 3/4cm³

Option B:

12 1/2 ∙ 1 1/2

18 3/4cm³

Option C:

1 1/2(5 + 2 1/2)

1 1/2(7 1/2)

11 1/4cm³

Option D:

1/2(12 1/2 ∙ 1 1/2)

1/2(18 3/4)

9 3/8cm³

Therefore, the only correct options are A and B.

Best of Luck!