Answer:
x=7/3
Step-by-step explanation:
3(x-4)=-5
3x-12=-5
3x=7
x=7/3
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
Answer:
the answer for this one is A
Step-by-step explanation:
mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side
Answer:
angle BEF = 100 degrees
Step-by-step explanation:
For a regular 9-sided polygon (nonagon),
each exterior angle = 360/9=40 degrees
each interior angle = 180-40 = 140 degrees.
Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.
Therefore angle DEB = 40 degrees
that leaves BEF = 140-40 = 100 degrees