Answer:

Step-by-step explanation:
The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

We can add up that and the other arcs to 360.





Plug in 2 for WX.

Answer:
To convert an angle measure to radians, multiply it by pi/180.
Step-by-step explanation:
310 * pi/180 = 31pi/18 = 5.41 rad
Answer:

Step-by-step explanation:
Let the numbers be x,y, where x>y
The geometric mean is

The Arithmetic mean is

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

We can write the equation;

or

l
and

or

Make y the subject in equation 2

Put equation 3 in 1





When x=1, y=10-1=9
When x=9, y=10-9=1
Therefore x=9, and y=1
The ratio of the smaller number to the larger number is

198 feet..........1 meter
<span>------------- X-------------- </span>
<span>1 second.......3.3 feet </span>
<span>198 </span>
<span>----- meters per second </span>
<span>3.3 </span>
<span>60 meters per second.......ANSWER </span>
<span>60 m/sec X 15 sec = 900 feet.......ANSWER </span>
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<span>A PRESENT FOR YOU </span>
<span>Ask someone to write a number, say a five-digit number. </span>
<span>(Can be a 2-digit.....3-digit.....4-digit....ect..... </span>
<span>Suppose the number written is </span>
<span>57836 </span>
<span>Now, without showing the asker, you write a number on </span>
<span>a sheet of paper and keep it folded. You have to write the </span>
<span>number by subtracting 2 from the above number and </span>
<span>adding 2 in front which will be.... </span>
<span>257834 </span>
<span>Next, ask the person to write another five-digit number </span>
<span>below his original number. Suppose he writes 37589. </span>
<span>So you now have... </span>
<span>57836 </span>
<span>37589 </span>
<span>Now you write a five-digit number below it in such a </span>
<span>way that each digit is 9 minus digit above. You now have... </span>
<span>57836 </span>
<span>37589 </span>
<span>62410 </span>
<span>Ask the person to add one more 5-digit number. If he </span>
<span>adds 54732, you add below it 45267. Note that you decided </span>
<span>the number by subtracting each of his digit from 9. </span>
<span>Thus, you now have..... </span>
<span>57836 </span>
<span>37589 </span>
<span>62410 </span>
<span>54732 </span>
<span>45267 </span>
<span>Next, ask him to add all the number and he gets 257834 </span>
<span>Show him the number which you had written as an answer </span>
<span>to this addition earlier in the folded paper and surprise him.</span>
Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so

solve for TS

we have


substitute

Step 2
<u>Find the value of SQ</u>
we know that

we have


substitute

therefore
<u>the answer is</u>
the value of SQ is 