Answer:
When two quantities increase or decrease together they are said to be directly. proportional
Answer:
Step-by-step explanation:
61)4 + 5(p-1) = 34 {Distributive property}
4 + 5p - 5 = 34 {Add like terms}
5p - 1 = 34 {Add 1 to both sides}
5p = 34+1
5p = 35 {Divide both sides by 5)
p = 35/5
p = 5
62) Smaller angle = x
Larger angle = x +50
x + (x +50) = 180 {Supplementary angles}
2x + 50 = 180 {Subtract 50 from both sides}
2x = 180 -50
2x = 130
x = 130/2
x = 65
Smaller angle = 65
Larger angle = 65 + 50 = 115
63) ΔBAD , ΔBCD
BA ≅ BC
∠A ≅ ∠C
AD ≅ CD
ΔBAD ≅ΔBCD {S A S congruent}
64) Selling price = ₹ 5500
Profit = 10%

Answer:
Step-by-step explanation:
Ok so to find constant of proportionality, you need to find K.
X would be gallons and y is cost.
To find k you need to do k=y/x
k=17.50/5
k=3.5
That's the first one. Now you need to make sure its <em>constant</em> with each one so keep going.
k=35/10
k=3.5
k=52.50/15
k=3.5
For all of those 3.5 was constant.
Because they are constant, that means the data in the graph is a proportion.
An example of an unproportional relationship would be if instead of 15 in the last column, it was 16.
k=52.50/16
k=3.28
That be different from the other 3.5's meaning its not proportional. But that's just an example.
If you need extra help reach out to me and I'll help you best I can. I hope this helps though. <3
Answer:
Solution does not exist.
Step-by-step explanation:
2cosx-3=0
2cosx=3
cosx=3/2
Solution does not exist.