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stiks02 [169]
2 years ago
13

Given that AXB is complementary to both CYD and FZE and m AXB=20 degrees what is m CYD+m FZE?

Mathematics
2 answers:
ohaa [14]2 years ago
8 0
We know that AXB + CYD and AXB + FZE = 90

20 + CYD = 90  and  20 + FZE = 90

We can see that CYD and FZE are equal so we can use one equation

Let's use 20 + CYD = 90

CYD = 70 and FZE is also equal to 70 because  CYD and FZE are equal.

so 70 + 70 = 140 degree

makkiz [27]2 years ago
4 0
It is given that, AXB + CYD = 90
So, CYD = 90 - AXB
CYD = 90 - 20 = 70

Agaian, AXB + FZE = 90
FZE = 90 - AXB
FZE = 90 - 20 = 70

So, CYD + FZE = 70 + 70 = 140

In short, Your Answer would be: 140 degrees

Hope this helps!
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yarga [219]

Answer:

Step-by-step explanation:

1). \frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n

= \frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n

= (\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n

= (\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n

= \frac{(8-9+2)}{12}n+(2+\frac{2}{9})n

= \frac{1}{12}n+(2+\frac{2}{9})n

= (\frac{1}{12}+2+\frac{2}{9})n

= (\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n

= \frac{83}{36}n

= 2\frac{11}{36}n

2). \frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}

= (\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})

= (\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})

= (\frac{4-10+3}{10})g-(\frac{5+24}{30})

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