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8090 [49]
3 years ago
15

In the given figure , if PQ ll SR and QP  l  PS , then the value of a and b respectively will be 

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0
b=90-37=53\\
a=180-90-53=37

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The product of two positive integers is 176. One number is 5 more than the other. Find the smaller number.
svlad2 [7]

Hello from MrBillDoesMath!

Answer:

11



Discussion:

Let "n" be the smaller number. Then

n * (n+5) = 176.


My first reaction to this problem was to factor 176 in my head. That's  176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:

n(n+5) = 176                 =>

n^2 + 5n - 176 = 0       => use the quadratic formula


n =     ( -5 +\- sqrt( 5^2 - 4(1)(-176)) )  /2

 =     ( -5 +\- sqrt( 25 +  704) )/ 2

=     ( -5 +\- sqrt (729) ) /2                            => as sqrt(729) = 27

=      (-5 +\- 27) / 2                                        =>

=      (-5 + 27)/2 or ( -5 -27)/2                      =>

=      22/2  or  -32/2                                     =>

=      11 or  -16


But -16 is not allowed as the question wants a positive value.



Thank you,

MrB

4 0
3 years ago
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CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION??
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Step-by-step explanation:

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27^-2/3<br><br> A. 9<br> B. 1/9<br> C. -1/9<br> D. -9
geniusboy [140]
<span>27^-2/3
= (3^3)^-2/3
= 3^-2
= 1/3^2
= 1/9

answer
</span><span>B. 1/9</span>
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1+10= ?<br><br>10+1= ?<br><br>10 + 5 = ? <br><br>LoL ​
mina [271]

Answer:

2758.653

Step-by-step explanation:

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