Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure 8,6,and 3. Can triangles TUV and XYZ be similar polygons?

A. Yes. Regardless of the lengths of the sides, you can always join them by angles that

form similar triangles.

B. Yes. The ratio of 12:6 is the same as the ratio of 6:3.

C. No. The ratio 12:6 is the same as the ratio of 6:3.

D. No. The ratio of the longest sides is 12:8 and the shortest sides is 6:3.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.