5

4. \( 4.0 \mathrm{~m} / \mathrm{s}, 135 \mathrm{deg}+4.0 \mathrm{~m} / \mathrm{s}, 315 \mathrm{deg}= \)...

Question

4. \( 4.0 \mathrm{~m} / \mathrm{s}, 135 \mathrm{deg}+4.0 \mathrm{~m} / \mathrm{s}, 315 \mathrm{deg}= \)



Answers

Complete.
$m \angle 3+m \angle 4=m \angle$____

And this problem we are given information to the left that represents the diagram to the rights. And it says first that the measure of Angle one is X. was 20. So I'm gonna go ahead and label Single one as X plus 20 And four is X over three. Yeah. And it wants us to find X. As well as the measure of angle for now. These two angles are a linear pair and their supplementary to each other. So I'm gonna add them together And set them equal to 180. Now from here I can't combine these two variables together until I have a common denominator and that common denominator is going to be three. So I'm gonna go ahead and make this three X over three plus 20 plus X over three equals 1 80. Then I'm gonna combine like terms. So three X over three plus X over three gives me four X over three Plus 20 equals 1 80. Okay. The next thing we do is subtract the 20 over That. I would multiply both sides by 3.160 times three gives me 480. Okay And then divide by four which is 120. So X is 1 20. But it also asked for me to solve for the measure of angle four. So I'm gonna plug that 1 20 in to the expression for angle four. So 1 20 divided by three Would give me 40°. And that would be the measure of angle for as well as XX

So for this problem we have the measure of the angle RST and Tsv and the RsV. So we want to uh our goal is to find X. And find the value of the measure of the ankle rsV. Okay, so from the graph we know that the some of the angle uh R S T and T S. V. Equals measure of angle RsV. So we can plug in the specific specific values. Okay, X. Close to X over two plus X over four. It goes 45 degrees. So let's solve for X. Right, So actually calls 6 60°. Okay? Or you can see the value of the axe. Now let's self, let's find in the value of go to R. S. V. So the measure of go R. S. V. Equals. Okay, sorry, I made a mistake. Uh here we want to find this angle RST cannot RsV. So let's find the measure of the ego RST okay? Which it goes X over two. So let's plug X equals 60 60 back into the aggression. So I have X. Uh the measure of the R. S. T equals 30 degree. Okay,

We want to find the direction angles for the Cuban vector. So I want to do is you want to solve for the equation co sign a so X equal to fi subjects, which is what we named the vector and defended us over the magnitude of E so you can solve for each part of the equation the software minder to the V. She's going to square it over the sum of the squares. Three. Squared nine for square 16 5 spare, 25 equal to square of 50 and gossip. If I like to five through, too, they can plug each portion in a corner and choose the ace of one, which is equal to can take. The Invesco sample sides our costs of three over fire room to equal to 64.9 degrees, and then we can solve for Ace up to which is you're going to aren't costs or inverse of coastline over four or five, we're too, which is equal to 55.6 you saw for the last part. She go to arc because of five over five two is equal to 45 degrees

As you can see using angle addition. Partial it. We know the measure. Angle three plus the measure of angle four would be the measure of angle, eh?


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