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grin007 [14]
3 years ago
7

Find the value of x and y.

Mathematics
1 answer:
pochemuha3 years ago
8 0

Step-by-step explanation:

x= 180-109 = 71°

y= 360-81-71-100= 108

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Answer:

6x(x+3)(x-2)=6x^3+6x^2-36x

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Step-by-step explanation:

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Advance says you can double your money in 10 years if you put $1,000 and a simple interest account What annual interest rate doe
lesya692 [45]
Ok
I=PRT
P=present amount
I=interst
T=time in years
R=rate in percent


when you double your money, interest=present amount
I=1000=P
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7 0
4 years ago
What time 30equals 200
Dovator [93]
The answer is 20/3 first you set a variable x and 30x=200 divid both side by 30 and get the final answer
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4 years ago
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5. Find the sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4
Elza [17]

Answer:

The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.

Step-by-step explanation:

Given:

a = 5

d =  4

To Find :

The sum of first 35 terms of the arithmetic sequence  = ?

Solution:

Step 1 : finding the 35th term

a_n = a_1 +(n-1)d

a_35 = 5 +(35-1)4

a_35 = 5 +(34)4

a_35 = 5 +136

a_35 = 141

Step 2: Finding the sum of first 35 terms

S_n = \frac{n(a_1 +a_n)}{2}

Substituting the values

S_n = \frac{35(5+141)}{2}

S_n = \frac{35(146)}{2}

S_n = \frac{35(146)}{2}

S_n = \frac{5110)}{2}

S_n = 2555

7 0
4 years ago
Can i get help? Don’t really understand.
Rufina [12.5K]

First option: correct. This is because angles WOX and XOZ are supplementary, so

m\angle WOX=180^\circ-104^\circ=76^\circ

Second option: correct. By the inscribed angles theorem, we have

m\angle XWZ=m\angle XYZ=\dfrac{113^\circ}2=56.5^\circ

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.

Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

\dfrac{m\widehat{WY}+113^\circ}2=104^\circ\implies m\widehat{WY}=95^\circ

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.

Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

\dfrac{m\widehat{WX}+m\widehat{YZ}}2=m\angle WOX\implies m\widehat{WX}+m\widehat{YZ}=2\cdot76^\circ=152^\circ

4 0
3 years ago
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