Answer:

Step-by-step explanation:
Let use the following trigonometric identities:

Then, the equation is simplified by substituting its components:





Answer:
well for the cats she can do 3 for each and dogs 2 for each
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
This is how you work it out:
u + xy
Plug in your numbers that you know:
20 + 9 * 8
20 + 72
92
Answer:
LN = 66 cm
Step-by-step explanation:
The 3 parallel lines divide the 2 sides they intersect in proportion, that is
=
, substitute values
=
( cross- multiply )
15LM = 315 ( divide both sides by 15 )
LM = 21
Hence
LN = LM + MN = 21 + 45 = 66 cm