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coldgirl [10]
2 years ago
7

Plzz help!! Identify each pair of congruent corresponding parts with justifications.

Mathematics
1 answer:
igomit [66]2 years ago
4 0
A & D- they have the arcs. AB & CD have the arcs and congruency marks. B and C are opposite angles
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What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}

\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
3 years ago
A regular convex polygon has eight sides. What is the measure of an exterior angle?
PSYCHO15rus [73]

Answer:

The measure of one exterior angle is 45 degrees.

Step-by-step explanation:

The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.

4 0
3 years ago
Read 2 more answers
Angle 1 is 50 degrees. Which angle is also 50 degrees?
solong [7]

Answer:

Step-by-step explanation:

angle 1= 50 degrees

x angle=50 degrees

cross multiply and you get and you get <u><em>1</em></u> as your answer

4 0
3 years ago
the price of the cell phone is expected to increase by 165% in September 2015. The current price of a cell phone is $62.80. What
Sladkaya [172]

Answer:

$166.42.

Step-by-step explanation:

We have been given that the price of the cell phone is expected to increase by 165% in September 2015. The current price of a cell phone is $62.80.

The price of cell phone in September 2015 will be $62.80 plus 165% of $62.80.

\text{The predicted cost of a cell phone in September 2015}=\$62.80+(\frac{165}{100}*\$62.80)

\text{The predicted cost of a cell phone in September 2015}=\$62.80+(1.65*\$62.80)

\text{The predicted cost of a cell phone in September 2015}=\$62.80+\$103.62

\text{The predicted cost of a cell phone in September 2015}=\$166.42

Therefore, the predicted cost of a cell phone in September 2015 will be $166.42.

4 0
2 years ago
Part B:
Marina86 [1]
Negative 72.75 is your product. It is very simple once you understand it.
8 0
2 years ago
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