Answer:
5
Step-by-step explanation:
1. according to the condition
![\frac{price \ radio1}{price \ radio2} =\frac{x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bprice%20%5C%20radio1%7D%7Bprice%20%5C%20radio2%7D%20%3D%5Cfrac%7Bx%7D%7By%7D)
2. when the both prices are increased the ratio is
![\frac{x+20}{y+20}=\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B20%7D%7By%2B20%7D%3D%5Cfrac%7B5%7D%7B2%7D)
3. when the both prices are reduced the ratio is
![\frac{x-25}{y-25} =\frac{5}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-25%7D%7By-25%7D%20%3D%5Cfrac%7B5%7D%7B1%7D)
4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:
![\left \{ {{\frac{x+20}{y+20}=\frac{5}{2} } \atop {\frac{x-25}{y-25}= \frac{5}{1} }} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7Bx%2B20%7D%7By%2B20%7D%3D%5Cfrac%7B5%7D%7B2%7D%20%20%7D%20%5Catop%20%7B%5Cfrac%7Bx-25%7D%7By-25%7D%3D%20%5Cfrac%7B5%7D%7B1%7D%20%7D%7D%20%5Cright.)
where x=160; y=52.
5. ration x:y=5.
7/9=35/45
8/15=24/45
35/45÷24/45=
<span>7/9</span>÷<span>8/15</span>=<span>7/9</span>×<span>15/8</span>=<span>7</span>×<span> 15/9 </span>×<span> 8</span>=<span>10572</span>=<span>35 </span>×<span> 324 </span>×<span> 3</span>=<span>3524</span>=1 <span>11/24</span><span>
I hope this helped!!!:)
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Answer:
The multiplicative inverse of -2/3 is -3/2.
Answer:
C. HL
Step-by-step explanation:
The diagram given shows that the hypotenuse length and the length of a leg of one right triangle is congruent to the hypotenuse and corresponding leg length of the other. Based on Hypotenus-Leg criterion, the two right triangles is proved to be congruent because it meets the criterion of HL.