The drawing's scale factor is
Actual Dimensions:Drawing Measurements
= 36:1
In order to prove these triangles congruent by SAS, AB and DE must be congruent. Thus, C is your answer.
Have an awesome day! :)
![\bf \sqrt{\sqrt{x-5}+x}=5\leftarrow \textit{squaring both sides} \\\\ \sqrt{x-5}+x=25\implies \sqrt{x-5}=25-x\leftarrow \textit{squaring both sides} \\\\ x-5=(25-x)^2\implies x-5=625-50x+x^2 \\\\ 0=x^2-51x+630\implies 0=(x-30)(x-21)](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7B%5Csqrt%7Bx-5%7D%2Bx%7D%3D5%5Cleftarrow%20%5Ctextit%7Bsquaring%20both%20sides%7D%0A%5C%5C%5C%5C%0A%5Csqrt%7Bx-5%7D%2Bx%3D25%5Cimplies%20%5Csqrt%7Bx-5%7D%3D25-x%5Cleftarrow%20%5Ctextit%7Bsquaring%20both%20sides%7D%0A%5C%5C%5C%5C%0Ax-5%3D%2825-x%29%5E2%5Cimplies%20x-5%3D625-50x%2Bx%5E2%0A%5C%5C%5C%5C%0A0%3Dx%5E2-51x%2B630%5Cimplies%200%3D%28x-30%29%28x-21%29)
and surely you'd know what the roots are
Let the total earnings be = x
Jennifer and Chris split the earnings in the ratio 3:2
Jennifer earned = $48
![\frac{3x}{5}=48](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B5%7D%3D48)
![3x=240](https://tex.z-dn.net/?f=3x%3D240)
x=80
Hence total earnings are $80
(a) Chris earning is = ![\frac{2x}{5}=\frac{2*80}{5}=32](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B5%7D%3D%5Cfrac%7B2%2A80%7D%7B5%7D%3D32)
Hence, Chris earns $32
(b) Jennifer spends 30% of her earnings on a book.
So, price of the book = ![\frac{30}{100}\times48](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%5Ctimes48)
Price of book = $14.40
(c) Jennifer also buys a magazine for = $5.40
So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80
Money left with Jennifer = 48-19.80= $28.20
In fractions =
or multiplying the numerator and denominator by 10, we get
=![\frac{47}{80}](https://tex.z-dn.net/?f=%5Cfrac%7B47%7D%7B80%7D)
(d) Let the original price of the shirt = x
reduction percentage on x= 40%
Price paid after reduction = 16.80
![\frac{40x}{100}=16.80](https://tex.z-dn.net/?f=%5Cfrac%7B40x%7D%7B100%7D%3D16.80)
![40x=1680](https://tex.z-dn.net/?f=40x%3D1680)
![x=42](https://tex.z-dn.net/?f=x%3D42)
Hence, the original price of the shirt was $42.