sin x = cos 54 = sin (90-54) = sin 46
Hence x = 46 deg
Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)
81-5x = 21
Or 5x = 60
Or x = 12 deg
hope it helps
Answer:
Part 1) Option D ![53\°](https://tex.z-dn.net/?f=53%5C%C2%B0)
Part 2) Option C ![37\°](https://tex.z-dn.net/?f=37%5C%C2%B0)
Step-by-step explanation:
we know that
In a Rhombus
Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles
Part 1) What is the measure of angle
?
-----> remember that the diagonals bisect the angles
Part 2) What is the measure of angle
?
Remember that
In a rhombus consecutive angles are supplementary
so
The measure of angle
is equal to the measure of angle T divided by ![2](https://tex.z-dn.net/?f=2)
Answer: approximately 2yd
Step-by-step explanation:
There are two ways in which you can do this. First, remember the circumference formula.
![C=\pi d](https://tex.z-dn.net/?f=C%3D%5Cpi%20d)
Solve for diameter.
![d=\frac{C}{\pi}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7BC%7D%7B%5Cpi%7D)
![d=\frac{12.6yd}{3.14}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B12.6yd%7D%7B3.14%7D)
![d=4](https://tex.z-dn.net/?f=d%3D4)
Divide the diameter by 2.
![r=\frac{d}{2}=\frac{4}{2} =2](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B4%7D%7B2%7D%20%20%3D2)