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3 years ago

Identify the pair of supplementary angles.

Mathematics

1 answer:

777dan777 [17]3 years ago

7 0

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

We know that, the sum of measures of supplementary angles is 180°

So, the Correct choice is :

65° and 115°

because, 65° + 115° = 180°

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Monica [59]

Expand f(z) into partial fractions:

$\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)$

Recall that for |z| < 1, we have the power series

$\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n$

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

$\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}$

So the series expansion of f(z) for |z| > 2 is

$\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)$

$\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}$

$\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}$

$\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}$

6 0

2 years ago

Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each,

Luda [366]

n + c = 15

4.5n + 12c = 135

c = 15 - n

12c = 180 - 12n

180 - 12n + 4.5n = 135

-7.5n = - 45

15n = 90

notebook = 6

6 + c = 15

calculator = 9

6 0

2 years ago

Solve the proportion for “m”. 4/12=m/39

Sav [38]

Multiply both sides by 39 to get 13=M

3 0

3 years ago

Read 2 more answers

I need help on this work sheet its very hard

nikdorinn [45]

Answer:

There is no attachment

Step-by-step explanation:

7 0

3 years ago

. A pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How fa

butalik [34]

Answer:

42.43 ft

Step-by-step explanation:

Please find attached an image of the softball pitch

h² = p² + f² -2x p×f×cos45

h² = 43² + 60² - 2x (43)(60) x 0.7071

h² = 1849 + 3600 - 3648.636

h² = 1800.364

h = √1800.364

h = 42.43 feet

8 0

3 years ago