Based on the diagram shown, all of the following are true statements except

You are correct. The answer is choice C.

The other choices A, B, D have each side add up to 180 degrees either because the angles are a linear pair (adjacent and supplementary) or because the angles are same side interior angles. Same side interior angles are supplementary if a transversal line cuts through a pair of parallel lines as so happens in this diagram.

Step-by-step explanation:

We are given a triangle an a parallel line l to thr base of the triangle m.

l || m.

Let us check each statement one by one.

According to first statement

m<1 +m<2 = m<3+m<4

Angle m<1 and m<2 makes a linear pair and sum of linear pair angles is 180°.

Angle m< 3 and m < 4 also make a linear pair.

Therefore,  m<1 +m<2 = m<3+m<4 is correct.

Second statement

m<1 +m<5 = m<3+m<4

m<1 and m<5 are Consecutive Interior Angles and sum of Consecutive Interior Angles between two parallel lines is 180°.

Angle m< 3 and m < 4 also make a linear pair. Sum of those angles also 180°.

Therefore, m<1 +m<5 = m<3+m<4 statement is also correct.

Third Statement

It is not given that m<4 = m<6.

Therefore, we can't say m<1 +m<6 = m<4+m<6.

Fourth statement

m< 3 +m<4 = m<7+m<4

Angle m< 3 and m<4 makes a linear pair and sum of linear pair angles is 180°.

m<7 and m<4 are Consecutive Interior Angles and sum of Consecutive Interior Angles between two parallel lines is 180°.

Therefore, m< 3 +m<4 = m<7+m<4 is also true.

Finally we could say that third statement

m<1 +m<6 = m<4+m<6 is not true.

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: