Answer:
correct option is △XYZ ~ △X'Y'Z'.
Step-by-step explanation:
since ΔXYZ is dilated by some scale factor so, the resulting triangle can not be congruent to the ΔXYZ. so option 2 is wrong.
as we have explained that the two triangles are not congruent then it's sides and angles also can't be congruent so, option 3 is also incorrect.
As we don't know by what factor the triangle XYZ is dilated so we can't say anything about correctness of option 4 and 5.
ΔXYZ was reflected over a vertical line and then dilated so the resulting ΔX'Y'Z' is similar to ΔXYZ.
i.e., △XYZ ~ △X'Y'Z'.
Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L
Area (A) = Length (L) · Width (W)
= (100 - W) · W
= 100W - W²
Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
0 = 100 - 2W
W = 50
refer to the equation above for L:
100 - W = L
100 - 50 = L
50 = L
Dimensions for the maximum Area are 50 ft x 50 ft
Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)
Percent change=100 times change/original
change=original-new
change=90-84.50=5.5
percent change=100 times 5.5/90
percent change=550/90
percent change=6.11111
percent change=6.1%
O+6-2O=-8
subtract 6 from both sides
the equation is then O-2O=-14
combine like terms on the left side
the equation is then -O=-14
divide by -1
final answer is O=14
