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Nana76 [90]
3 years ago
10

Line I is parallel to line m. If the

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0

Answer:

im not quite sure sorry

Step-by-step explanation:

rusak2 [61]3 years ago
4 0

Answer:

∠1 = 105°

Step-by-step explanation:

∠6 = 75°

∠5 is supplementary to ∠6 so ∠5 = 180-75 = 105°

∠1 is corresponding congruent to ∠5

∠1 = 105°

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How do I verify this identity? I know you should write sin2a as sin(a+a).
Kisachek [45]

SOLUTION

Given the question in the image, the following are the solution steps to verify the identity

STEP 1: Write the given identity

\sin 2\alpha=2\sin \alpha\cos \alpha

STEP 2: Verify the identity

\begin{gathered} \sin 2\alpha=2\sin \alpha\cos \alpha \\ \text{Consider the left hand side of the above trigonometry identity.} \\ \text{That is, }\sin 2\alpha\text{.} \\ \text{ Rewrite }\sin 2\alpha\text{ as }\sin (\alpha+a) \\ \text{ It is known that }\sin (a+b)=\sin (a)\cos b+\cos (a)\sin (b) \\ U\sin g\text{ this statement above, we have;} \\ \sin (\alpha+a)=\sin a\cos \alpha+\cos a\sin \alpha \\ \text{It is known that }xy+yx=xy+xy=2\times xy=2xy \\ U\sin g\text{ this statement above, we have;} \\ \sin a\cos \alpha+\cos a\sin \alpha=\sin a\cos \alpha+\sin \alpha\cos \alpha=2\times\sin \alpha\cos \alpha=2\sin \alpha\cos \alpha \\ \text{Hence, }\sin 2\alpha=2\sin \alpha\cos \alpha \end{gathered}

The verification of the identity is as seen above.

7 0
11 months ago
Pls helppp me this is very very urgent
Nat2105 [25]

Answer:

1. 5040

2. 20

Step-by-step explanation:

1. using the formula for permutation

nPr=n!/(n-r)!

10P4 = 10!/(10-4)!

=10*9*8*7*6!/6!

then we are left with

=10*9*8*7

=5040

2.using the formula for combination

nCr=n!/(n-r)!r!

6C3=6!/(6-3)!3!

=6*5*4*3!/3!3!

=6*5*4/3*2*1

=20

4 0
3 years ago
I need help on this algebra question ASAP.
Ad libitum [116K]

Answer:

answer attached in picture

7 0
3 years ago
What is 0.043 written as a percent?
meriva
To find a percent you multiply the decimal number by 100. OR to be easier just move the decimal number 2 places to the right.

4.3%
4 0
3 years ago
Preform the operation and show work
wel

Answer:

1 / (x² + 6x + 8)

Step-by-step explanation:

(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)

= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)

               ↑ factor x² + 5x + 6    ↑ factor x² - 16 using difference of squares

= 1 / (x + 2) * 1 / (x - 4)    ← x + 4 and x + 3 cancel

= 1 / (x + 2) * (x + 4) ← multiply

= 1 / (x² + 6x + 8) ← expand

7 0
3 years ago
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