Is the following true for all positive values of a and b: if a> b then a^2> b^2

Yes

Step-by-step explanation:

If , then .

If are positive, then .

So if I multiply both sides of by it will not effect the direction of the inequality since it is of positive value.

This actions gives us .

Using foil we can multiply the left hand side out resulting in:

Add on both sides:

.

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Also consider the function .  This function increases after is 0.  This means as you increase the value for the value for increases for positive value inputs of .

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answer is d-29

step-by-step explanation:

since you didn't include the picture, i can give you the description so you know how to pick the correct answer. the third quartile of a data is always shown in a box plot. in the middle of your graph should be a box. the third quartile is the value that goes with the far right edge of the box.