Answer:
<u>The values for x = 56, for y = 28 and z = 64</u>
Step-by-step explanation:
1. Let's review the information given for answering the question correctly:
∠2y° and ∠56°are alternate interior angles
∠x °and ∠2y° are alternate interior angles
<u>2. . Let's find the values of x, y and z.</u>
2y = 56
<u>y = 28</u>
Therefore,
∠x ° = ∠2y°
∠x ° = ∠56°
<u>x = 56 </u>
Let's recall that all the interior angles of a triangle will always add up to 180°, thus:
∠z° = 180 - 60 - 56
∠z° = 180 - 116
<u>∠z° = 64°</u>
<u>z = 64</u>
He didn't distribute 1/3 to x and 15 before solving
Answer:
The only possible answer that is correct is the first one, x = -4.
Step-by-step explanation:
Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.
9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.
Simplifying further, we get x < - 3. The only possible answer that is correct is the first one, x = -4. -4 < -3 is true.
