Answer:
Yes
Step-by-step explanation:
There is a proportional relationship between x and y it's 5.
Think about it when x is 1 y is 5
When x is 2 y is 10
When x is 5 y is 25
When x is 7 y is 35
To get this for this question all you have to do is multiply x by 5 to get y.
That's how you know it's proportional.
Hope this helps!!!
Answer:
72º
Step-by-step explanation:
Angles at a point = 360º
Number of wedges = 5
Angle of each wedge
= 360 ÷ 5
= 72º
Plug the value of 9 in for y
9=-3x+6
Subtract 6 from both sides
3=-3x
Divide both sides by -3
-1=x
Final answer: x=–1
From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:
LN : LP = 28:12 = 7:3
Therefore, the LRN sides is 7/3 of the corresponding side of LSP.
Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation
Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:
LRN = (1/2)(7b/3)(7h/3) ← Take out the 7/3 and multiply them together
= (49/9)(1/2)bh ← From LSP, we know that (1/2)bh = 50, so plug that in
= (49/9)*50 ≈ 272.222 units ²