Jorge solves the equation 4 x - (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x - x + 2 + 6 = 6 x + 16
Step 2: 3 x + 8 = 6 x + 16
Step 3: 8 - 16 = 6 x - 3 x
Step 4: - 8 = 3 x
Step 5: - 8/3 = x

Jorge verifies his solution by substituting -8/3 into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error?

A. Jorge distributed incorrectly.

B. Jorge incorrectly combined like terms.

C. Jorge incorrectly applied the addition and subtraction properties of equality.

D. Jorge incorrectly applied the multiplication and division properties of equality.

question

given the diagram below, what is md?

the sum of the interior angles is 360°

take away from 360 the sum of the knows angles and you will have the angle d.

360 - 108 - 108 - 72 = 72°

the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

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