Complete the proof of the Law of Sines/Cosines. Triangle ABC with side b between points A and C, side c between points A and B. Segment drawn from point A to point D where D is between points B and C, segment AD is labeled x. Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _1._ by the definition of altitudes, making triangle ABD and triangle CDA right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _2._ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _3._. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c. 1. altitudes 2. b ⋅ sinB 3. b ⋅ sinB = c ⋅ sinC 1. right angles 2. b ⋅ sinB 3. b ⋅ sinB =c ⋅ sinB 1. altitudes 2. c ⋅ sinB 3. c ⋅ sinB = b ⋅ sinC 1. right angles 2. c ⋅ sinB 3. c ⋅ sinB = b ⋅ sinC

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer:

what is your question that you ask

step-by-step explanation:

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

answer:

your answer is: c. 196 7/8 in^3.