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.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x