M∠LONm, angle, L, O, N is a straight angle.
m∠LOM=4x+30∘\qquad m \angle LOM = 4x + 30^\circm∠LOM=4x+30∘m, angle, L, O, M, equals, 4, x, plus, 30, degrees
m∠MON=8x+90∘\qquad m \angle MON = 8x + 90^\circm∠MON=8x+90∘m, angle, M, O, N, equals, 8, x, plus, 90, degrees
Find m∠MONm\angle MONm∠MONm, angle, M, O, N:

Given that LON is a straight line.

The measure of ∠LOM is (4x + 30)°

The measure of ∠MON is (8x + 90)°

We need to determine the measure of ∠MON

The value of x:

Since, LON is a straight line, then the angles LON and MON add upto 180°

Thus, we have;

Substituting the values, we get;

Thus, the value of x is 5.

Measure of ∠MON:

The measure of ∠MON can be determined by substituting x = 5 in the expression (8x + 90)°

Thus, we have;

Thus, the measure of ∠MON is 130°

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".