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Bezzdna [24]
3 years ago
10

#4. Find the missing angle measures

Mathematics
2 answers:
baherus [9]3 years ago
4 0

Answer:

Step-by-step explanation:

x = 55

x + 55 = 110

x + 20 = 75

x + 65 = 120

liubo4ka [24]3 years ago
4 0

Answer:

x°=130°

The sum of two opposite angles in a quadrilateral is 180

⇒x+55°+x+65°=180°

⇒2x+120°=180°

⇒2x=60°

⇒x=30°

Có x+20 °+x°=180°

⇒30°+20°+x°=180°

⇒x°=130°

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alexandr1967 [171]

I'm guessing the function is

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which, split into partial fractions, is equivalent to

\dfrac1{x-6}-\dfrac1{x+2}

Recall that for |x| we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

With some rearranging, we find

\dfrac1{x-6}=-\dfrac16\dfrac1{1-\frac x6}=\displaystyle-\frac16\sum_{n=0}^\infty\left(\frac x6\right)^n

valid for \left|\dfrac x6\right|, or |x|, and

\dfrac1{x+2}=\dfrac12\dfrac1{1-\left(-\frac x2\right)}=\displaystyle\frac12\sum_{n=0}^\infty\left(-\frac x2\right)^n

valid for \left|-\dfrac x2\right|, or |x|.

So we have

f(x)=\displaystyle-\frac16\sum_{n=0}^\infty\left(\frac x6\right)^n-\frac12\sum_{n=0}^\infty\left(-\frac x2\right)^n

f(x)=\displaystyle-\sum_{n=0}^\infty\left(\frac{x^n}{6^{n+1}}+\frac{(-x)^n}{2^{n+1}}\right)

f(x)=\displaystyle-\sum_{n=0}^\infty\frac{1+3(-3)^n}{6^{n+1}}x^n

Taken together, the power series for f(x) can only converge for |x|, or -2.

6 0
3 years ago
Emil bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the balance in 6 equal monthly paymen
iragen [17]
The total cost of the camera is $268.26

A down payment of $12 was paid so he now owes $256.26

Every 6 months Emil has to pay:
256.26 / 6 = 42.71
Therefore, each moth, Emil has to pay $42.71 
7 0
3 years ago
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HELP ME PLEASE!!! 2(b+3)-(7+b)=-7 ??
Natasha2012 [34]

2(b + 3) - (7 + b) = -7

2b + 6 - 7 - b = -7

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4 0
3 years ago
Read 2 more answers
Can i have help plzzzzz
leonid [27]

Answers:

Choice C)  1.5 + AB = 3.7

AB = 2.2  cm

====================================================

Explanation:

Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.

The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.

Therefore, 1.5 + AB = 3.7 is one valid equation to set up.

------------

To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.

1.5 + AB = 3.7

AB = 3.7 - 1.5

AB = 2.2

Notice how,

1.5 + AB = 1.5 + 2.2 = 3.7

to help confirm our answer.

5 0
2 years ago
Sally's bank account had a balance of 230 at the beginning of the month. She had two deposits of 50 and 420 and just one withdra
Romashka [77]

Answer:

510

Step-by-step explanation:

Sally bank account had a beginning balance of 230

She made two deposits of 50 and 420

50+420

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She made a withdrawal of 190

Therefore her balance at the end of the month can be calculated as follows

470+230

= 700

= 700-190

= 510

Hence the balance at the end of the month is 510

8 0
2 years ago
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