Answer:
Step-by-step explanation:
Given Parallel lines Converse
a. ∠13 ≅ ∠17 a║c Corresponding angles
b. ∠4 ≅ ∠9 d║e Exterior alternate angles
c. m∠20 + m∠21 = 180° a║b Consecutive interior angles
d. ∠8 ≅ ∠19 Vertical angles
e. ∠10 ≅ ∠23 b║c Interior alternate angles
f. m∠14 + m∠17 = 180° a║c Consecutive interior angles
A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6
Answer:
x = -8
Step-by-step explanation:
y = 3x + 14
2x - 3y = -14
So, what is the substitution? Y of course, this is because y is equal to 3x + 14.
2x - 3 (3x + 14) = -14
Multiply 3 with the numbers in the parentheses.
2x - 9x + 42 = -14
So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.
-7x + 42 = -14
Then subtract 42 from both sides.
-7x + 42 - 42 = -14 - 42
Simplify
-7x = -56
Divide 7 by both sides.
-7x / 7 = -56 / 7
x = -8
And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.
Answer:
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Step-by-step explanation:
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