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 
.
1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.
Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
