Answer:
<em>The tax is $1.54 and the price after tax is $31.54</em>
Step-by-step explanation:
<u>Percentages</u>
The procedure to add a percentage ratio p to a given quantity q is:
* Calculate the increase as i = p*q/100
* Add the increase to the original quantity to get the final quantity f=q + i
It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.
* The increase (tax) is i = (5.125*30)/100 = $1.54
* The price after tax is f = $30 + $1.54 = $31.54
The tax is $1.54 and the price after tax is $31.54
Steps 4 and 5 are being used to get the equation in step 6.
Steps 5 and 7 are being used to get the equation in step 8.
Steps 8 and 6 are being used to get the equation in step 9.
In step 14, "similar argument" means to draw segment BD and follow the same logic in steps 3-12.
Answer:
ΔABC≅ΔDEC by AAS
Step-by-step explanation:
You can use the AAS method of congruency.
Since you already have <BAC and <EDC congruent to eachother, and sides BC and EC congruent to each other, you only need that one remaining angle in between. <ACB can be proven congruent to <DCE by the Vertical Angles Theorem, and that gives you the AAS you need to prove that these two triangles are congruent
Hope this helped.
Answer:

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Step-by-step explanation:

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45,55,65,75,85,95 and 105