For question 6 what is that value of x?

For question 7 find m

(6) Given that in ΔPQR, m∠P = (x+14)°, m∠Q = (6x-12)° and m∠R = (3x+8)°

We need to determine the value of x.

Value of x:

By triangle sum property, we have;

Substituting the values, we get;

Thus, the value of x is 17

(7) Given that ΔGHI, m∠G = (4x+13)°, m∠H = (8x-52)° and m∠I = (2x+4)°

We need to determine the measure of ∠G

Value of x:

By triangle sum property, we have;

Substituting the values, we get;

Thus, the value of x is 12.

The measure of ∠G:

Substituting x = 12 in m∠G = (4x+13)°, we get;

Thus, the measure of angle G is 61°

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".