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Radda [10]
3 years ago
14

Please answer if you know !! i really need help on this one :(

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Since we know that the measure of angle 3 is 72 we now also know that angle 2 equals 72 because they are congruent. So 72 + 72 = 144. 180 - 144 = 36. Meaning angle 1 equals 36 degrees.

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How to solve this :') please help
blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\

Use \cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1

so

\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}

7 0
2 years ago
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
vesna_86 [32]

Answer:

your answers are already  matched up

Step-by-step explanation:

8 0
4 years ago
A sledgehammer weighs 18 pounds on Earth and 4 pounds on the planet Namar. 
Advocard [28]
It would weight 18lbs i believe

8 0
3 years ago
Read 2 more answers
Nick paid 2.94 in sales tax on an item that cost $42.00 at the rate how much he pay in sales tax on an item that cost $58.00 bef
ruslelena [56]
$2.93/$42= about 7% tax
$58*7%= $<span>4.06 in tax</span>
4 0
4 years ago
cartons of juice boes come in packages of 3. ms ford has 2 juices left for school lunches. if ms ford buys 5 packages of juice b
Andrews [41]
Well 1 package=3, so if she buys 5 packages it's 5*3=15. She still has 2 left so you take 15+2=17. She will have 17 juice boxes in total.
6 0
3 years ago
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