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Mathematics 19 Online
OpenStudy (kdoydhs):

In the figure arc DE=118 and arc BC=48. What is m angle a?

OpenStudy (kdoydhs):

http://prntscr.com/bgxbgl image<------

563blackghost (563blackghost):

This should help :)

OpenStudy (kdoydhs):

B?

563blackghost (563blackghost):

Not Quite. With the thereom we would substitute 118 for x and 48 for y... \(\Huge{\angle A = \frac{1}{2} (118-48)}\) Simplify.... \(\Huge\color{red}{\angle A=\frac{70}{2}}\)

OpenStudy (kdoydhs):

35!

OpenStudy (kdoydhs):

can you check another of my answers?

563blackghost (563blackghost):

\(\Huge{\checkmark}\) Sure!

OpenStudy (kdoydhs):

http://prntscr.com/bgxi7w

OpenStudy (kdoydhs):

@563blackghost

563blackghost (563blackghost):

Im here just looking at it its kinda tricky for me..

OpenStudy (kdoydhs):

Okay, can i post some others at the moment too? just for checking?

563blackghost (563blackghost):

ok :)

563blackghost (563blackghost):

D is your answer?

OpenStudy (kdoydhs):

46. http://prntscr.com/bgxjjd 49. http://prntscr.com/bgxjpa 50. http://prntscr.com/bgxjrz and yes D is my answer

563blackghost (563blackghost):

You are correct :)

OpenStudy (kdoydhs):

Yay! Are the others correct as well?

563blackghost (563blackghost):

46 is correct :)

OpenStudy (kdoydhs):

After 49 and 50 I have about 5 more to check :)

563blackghost (563blackghost):

49 is incorrect use... \(\Huge{\angle 1=\frac{1}{2}(x+y)}\) Where x is 53 and 25 is y...

OpenStudy (kdoydhs):

B 39?

563blackghost (563blackghost):

Correct :)

563blackghost (563blackghost):

50 is incorrect as well.... 24 seems to large to be x...Now 12 and 3 would add up to make a side of 15...This triangle resembles a right triangle so we would apply Pythagorean theorem... \(\Huge{18^{2}-15^{2}=x^{2}}\)

OpenStudy (kdoydhs):

9

563blackghost (563blackghost):

Correct ^^

OpenStudy (kdoydhs):

Can I post some more?you're so helpful!

563blackghost (563blackghost):

Sure :)

563blackghost (563blackghost):

22 is correct :)

OpenStudy (kdoydhs):

the rest?

563blackghost (563blackghost):

sorry i was away from the computer for a sec...

OpenStudy (kdoydhs):

its ok!

563blackghost (563blackghost):

41 is correct ^^

OpenStudy (kdoydhs):

26??

563blackghost (563blackghost):

Im not so sure about 45 i would need my math book in order to check...but its been locked out since I have already closed out my connexus :(

OpenStudy (kdoydhs):

What about 26?

563blackghost (563blackghost):

Im quite confused on that one... You see since the triangle on the side says its a 45-45-90 triangle that would mean that both triangles are congurent so the base is a sum of 2+2+8 which would 12 in which we would add that to 8 which is the top base to get the total of 20....we would then multiply that by the height which is 4 which would make is 80 and then we would divide by 2 in which I get a sum of 40 but it doesnt seem to be an option...

OpenStudy (kdoydhs):

maybe 44?

563blackghost (563blackghost):

Wait! I found it out... The triangle on the side says that yes it is a 45-45-90 triangle and we know of the opposite side of the angle which 4 and we want to know the adjacent side so we apply the cos ratio... \(\Huge{\cos(45)=\frac{x}{4}}\) What would x equal?

OpenStudy (kdoydhs):

Im guessing 48

OpenStudy (kdoydhs):

10

563blackghost (563blackghost):

Not quite. Since the variable is in the numerator we would multiply 4 by cos.... \(\Huge{4 \times \cos(45) = 2\sqrt{2}}\) Since both triangle are equal that would make the other length \(\Large{2 \sqrt{2}}\) So we would add them to 8... \(\Huge{8+(2 \sqrt{2}+2\sqrt{2})}=13.65..\) In which we would add that to 8... \(\Huge{13.65+8=21.65}\) In which we would then multiply by 4 and divide by 2 to get \(\Huge{43.31 }\) which would equal to be about 44... Im sorry but I must get off it seems something has come up..and sorry for long explanation its for your to understand :)

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