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iren2701 [21]
2 years ago
13

An angle measures 44° less than the measure of its supplementary angle. What is the

Mathematics
1 answer:
jeka942 years ago
4 0

Answer:

The angle is 112 degrees and the supplement is 68 degrees.

Step-by-step explanation:

Let the angle’s measure be represented by x and the supplement’s measure be represented by y. Since supplementary angles add to 180 degrees, x + y = 180.

Since the supplement is 44 degrees less than the angle,

y + 44 = x

We can substitute y + 44 = x for x in the first equation, since they are equivalent.

y + 44 + y = 180

2y + 44 = 180

2y = 136

y = 68

Substitute 68 for y in one of the original equations and solve.

68 + 44 = x

x = 112

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2 years ago
Find the length of the cardioid r=5+5cosθ.
ipn [44]
Hello,

r=5(1+cos t)

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r²+r'²= 25[(1+cos t)²+(-sin t)²]=50(1-cos t)=50 sin² (t/2)
Between 0 and π, sin x>0 ==>|sin x|=sin x
l= 2*5* \int\limits^{\pi}_0{sin( \frac{t}{2} )} \, dt= 5[-cos (t/2)]_0^{\pi}\\\\
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Here is the method but i may have make some mistakes.






3 0
3 years ago
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