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eimsori [14]
3 years ago
7

mrs. west is 14 years younger than her aunt. if mrs. west’s age in years is as much below 60 as her aunt’s age is over 40, how o

ld is each?
Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0
Let x=aunt's agethen x-14=Mrs West's ageso we have:60-(x-14)=x-40 simplify60-x+14=x-40 subtract x from each side and also subtract 60 and 14 from each side60-60-x-x+14-14=x-x-40-60-14 collect like terms
-2x=-114x=57------------aunt's agex-14=57-14= 43----------Mrs West's ageck60-43=57-4017=17 
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For the parallelogram find the value of x,y,and z
Nat2105 [25]

Answer:

X = 119, Y = 61, Z = 119

Step-by-step explanation:

These are supplementary angles and equal 180.

180 - 61 = 119

Opposite angles are congruent

5 0
3 years ago
A standard letter-sized piece of paper has a length and width of 8.5 inches by 11 inches.
den301095 [7]

Answer:

Area of the resulting rectangle = 23.375 inch²

Step-by-step explanation:

After 1 fold width or length reduces to half.

Area = Length x width

So after 1 fold area will reduce to half.

So we have

              \texttt{Area after n folds =}\frac{\texttt{Initial area}}{2^{\texttt{number of folds}}}

Initial area = 8.5 x 11 = 93.5 inch²

Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is

Number of folds = 2

\texttt{Area after 2 folds =}\frac{\texttt{Initial area}}{2^{2}}\\\\\texttt{Area after 2 folds =}\frac{93.5}{4}=23.375inch^2

Area after 2 folds = 23.375 inch²

Area of the resulting rectangle = 23.375 inch²

8 0
3 years ago
What is the value of s?
KonstantinChe [14]

Answer:

  35°

Step-by-step explanation:

Inscribed angle s is half the measure of the arc it subtends. That arc is the supplement to the 110° arc shown. The arc is 70°, so angle s is 35°.

6 0
3 years ago
I will mark branliest if correct
n200080 [17]

Answer:

The answer is: y = - |x+1|+1

5 0
3 years ago
Read 2 more answers
How do I do this? Please explain in detail.
umka2103 [35]
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
8 0
3 years ago
Read 2 more answers
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