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:
Step-by-step explanation:
it's another one of those similar triangles
it's easier to see this one.
t /c = u / b
where
t = 7x + 3
c = 27
u = 35
b = 21
plug in the knowns
7x + 3 / 27 = 35 / 21
7x + 3 = 27 ( 35 / 21 )
7x + 3 = 9 ( 35 / 7 ) ( divided by 3 )
7x + 3 = 9 ( 5) ( 7 into 35 =5 )
7x + 3 = 45
7x = 45 - 3
7x = 42
x = 6
I checked it, the ratio is 1_2/3 :) for both, but you can check it too
Answer:
n = 17

Step-by-step explanation:

n · 170 = 34 · 85
170y = 2890
170y ÷ 170 = 2890 ÷ 170
y = 17
Step-by-step explanation:
V=pi×r^2×h
36pi =pi × (3)^2 × h
36pi ÷ pi×9 = h
4cm^2 = h