Answer:
The argument is true by the law of syllogism
Explanation:
Law of syllogism states that for a valid argument form which is a syllogism having a conditional statement for one or both of its premises.
Premises:
1. If p , then q
2. if q, then r
Conclusion: if p, then r.
Let p be the statement "two angles form a linear pair",
let q be the statement "they are supplementary" and
let r be the statement "the sum of their measures is 180°"
If p, then q
if q, then r
then by the Law of syllogism statement , conclusion if q then r is true,
i,e If two angles form a linear pair, then the sum of their measures is .
Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
step-by-step explanation:
Answer:
25x² − 20x + 4
Explanation:
(5x − 2)²
= (5x + −2)(5x + −2)
= (5x)(5x) + (5x)(−2) + (−2)(5x) + (−2)(−2)
= 25x² − 10x − 10x + 4
= 25x² − 20x + 4
Answer:
The sale price was $67.20
Step-by-step explanation:
The sale price is 30% less than the original price. Symbolically,
Sale price: (100% less 30%) of $96, or
(1.00 - 0.30)($96), or 0.70($96) = $67.20
The sale price was $67.20
Emily = x
Samantha = x + 2
Lauren = x + 4
x + (x + 2) + (x + 4) = 42
x = 12
Thus:
Emily = 12
Samantha = 14
Lauren = 16