Answer:
the dog is 16 years old.
Step-by-step explanation:
x/4 +6= x/8 +8
x/4-x/8=8-6
2x-x/8=2
x/8=2
x=16
Answer:
3 pieces
Step-by-step explanation:
<u>Key skills needed: Division</u>
1) Rudolph has a
ft. long piece of wood.
2)He want to divide it into
ft. pieces.
3) To find out the maximum number of piece he can make you have to do:
÷
--> Convert both to improper form --> ( 9 1/2 is 9x 2 + 1 = <u>19/2)</u> & (2 3/4 is 2 x 4 + 3 = <u>11/4</u>) This means it would be:
÷
.
Dividing by a fraction is the same multiplying by it's reciprocal (The reciprocal of 11/4 is 4/11) so it would be
x
=
--->
The answer above means Rudolph can cut only 3 pieces, and then he will be left with a little chunk of wood, but that is not big enough to be counted as a whole piece.
Therefore, the answer is <u>3 pieces</u>
<em>Hope you understood and have a nice day!! :D</em>
The area of a parallelogram is base times height.
We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse
sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3
The height is 3 √3
Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²
Answer is C) 24 √3 cm²
71 is the answer I hope I helped
Answer:
adjacent supplementary angles
Step-by-step explanation:
The angles labeled 1 and 2 are adjacent angles which are called a linear pair. their measure add up to 180 deg, so they are adjacent and supplementary angles.