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I am Lyosha [343]
3 years ago
14

In the figure MN || PQ , ORP = 120° and NOS = 65°. Find the value of x.

Mathematics
2 answers:
Nadya [2.5K]3 years ago
6 0
The answer is 55!
Hope this helps! :)
Nookie1986 [14]3 years ago
3 0
The answer is Angel x is 55°
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Prove that csc x - cot x is the same as (sin x)/(1 + cos x)
Lera25 [3.4K]
\csc x-\cot x=\dfrac{\sin x}{1+\cos x}\\\\L_s=\dfrac{1}{\sin x}-\dfrac{\cos x}{\sin x}=\dfrac{1-\cos x}{\sin x}\\\\R_s=\dfrac{\sin x}{1+\cos x}\cdot\dfrac{1-\cos x}{1-\cos x}=\dfrac{\sin x(1-\cos x)}{1^2-\cos^2x} =\dfrac{\sin x(1-\cos x)}{1-\cos^2x}\\\\=\dfrac{\sin x(1-\cos x)}{\sin^2x}=\dfrac{1-\cos x}{\sin x}\\\\L_s=R_s

\text{Used:}\\\\\csc x=\dfrac{1}{\sin x}\\\\\cot x=\dfrac{\cos x}{\sin x}\\\\a^2-b^2=(a-b)(a+b)\\\\\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x
8 0
3 years ago
HELP ASAP!!
Alex

Answer:

Part A: 1/(2^6) or 1/64

Part B: 1

Step-by-step explanation:

For both parts, you have to keep in mind that a number multiplied by its reciprocal will equal one.  For Part B specifically, remember that any number (excluding one) to the 0th power is equal to one

4 0
3 years ago
Skylar has sphere-shaped toys for her pool that each have a radius of 2 inches. If the toys fill with water, how many cubic inch
notsponge [240]
The correct answer is 401.88 cubic inches of water to fill the toys
5 0
3 years ago
In the year 2006, a person bought a new car for $18000. For each consecutive year after that, the value of the car depreciated b
Liula [17]

Answer:

Step-by-step explanation:

Use the exponential function

v(t)=a(b)^t where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:

v(t)=18000(.85)^t  We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):

v(t)=18000(.85)^3 and simplifying a bit:

v(t) = 18000(.614125) so

v(t) = 11054.25

Round however you need to.

5 0
3 years ago
Guys plz help on this one
DedPeter [7]
Well for number 1) a. Quick market is the better choice because 3 apples for 1.17 is 2.34 for 6 apples
3 0
3 years ago
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