Me being a junior in high school and not knowing middle school math
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
The answer is realistic. I hope this helps ! :)
Answer:
k = 10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
115 = (4k+5) + (6k+10)
Combine like terms
115 = 10k+15
Subtract 15 from each side
115-15 = 10k +15-15
100 = 10k
Divide by 10
100/10 = 10k/10
10 =k
Answer:
Step-by-step explanation:
