Answer:
<h2><u><em>
X = 90°</em></u></h2>
Step-by-step explanation:
that is a regular rhombus, by definition it has perpendicular diagonals, so in the center there are 4 90 ° angles, so your answer is<u><em> x = 90 °</em></u>
You must find the factors of each number...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6
Next, determine the common multiple...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6
Therefore, the most groups Lavinia can make without any glasses or mugs left to spare is 3.
We use
trigonometry for this problem. You might have learned about SOH CAH TOA. In right triangles, when given an angle, you can name the three sides of the triangle a certain part:
Opposite,
Adjacent, and
Hypotenuse.
For this problem, we are given the angle and the ADJACENT length (73). We want to find the OPPOSITE side's length.
TOA
We must use the tangent function.
TOA helps us remember this relationship:
tan( theta ) = opposite / adjacent.
Plug in our values:
tan(29 degrees) = opposite / 73
Multiply by 73 to isolate "opposite" and solve for it.
73 * tan(29) = opposite.
Using a calculator, the answer is approximately 40.46 ft.