promotion image of download ymail app
Promoted
? asked in Science & MathematicsMathematics · 9 years ago

3 Math questions please explain?!?

In as detailed as you can get, can you please explain to me how to finish solving these? THANK YOU SO MUCH!

1.) ABCD is an inscribed quadrilateral.

http://i38.tinypic.com/23ife4h.gif

a.) Find the values of x and y. Show all work.

b.) Find m angle B and m angle D.

I have 2x + 3y = 185 and 3x + y = 120

2.) http://i33.tinypic.com/29uwv4j.gif

In circle L, JK is a tangent and PM is a diameter. Find the measure of arc MN. Show all work

I have no clue for this one, please detail it so I can understand(:

3.) In circle V, RT is a diameter.

http://i34.tinypic.com/54d8hu.gif

a.) Find m angle STR and m angle SRT. Show all work.

b.) If ST = 22, find the length of the radius to the nearest tenths place. Show all work.

I have a.) STR = 44 and SRT = 46 .. I just need PART B ! (:

THANK YOU SO MUCH for answering! (: Best Answer will be given!

2 Answers

Relevance
  • 9 years ago
    Favorite Answer

    Q1)

    You had:

    ➊: 3x + y = 120 ( ✔ :)

    ➋: 2x + 3y = 185 (✔ :)

    So just solve the system of two equations, 2 unknowns (is this where you need the help?)

    ➊x3: 9x + 3y = 360

    ➋: 2x + 3y = 185

    Subtract ➋ from ➊x3: 7x = 175 ➞ x = 175/7 = 25

    Substitute x = 25 in ➊ ...

    3(25) + y = 120

    y = 120 – 75

    y = 45

    a) m∠B = 3y – 5 = 3(45) – 5 = 130º

    b) m∠D = 2x = 2(25) = 50º

    Q2)

    Draw two radii: segments LJ and LN

    Since ∠JKM = 20º, and KJ is tangent to circle L

    ➞ ∠KJL = 90º, and ∴ ∠JLK = 70º

    ➞ ∠JLM = 110º

    We are given that ∠MQN = 44º ➞ ∠JQL = 44º

    ∴ In ∆JLQ, ∠LJQ = 180 – 110 – 44 = 26º

    Since LJ = LN = radii of circle L, ∆LJL is isosceles ➞ ∠LJN = ∠LNJ = 26º

    Since ∠JQN = 180º, and ∠JQL = 44º ➞ ∠LQN = 136º

    In ∆LQN, ∠QLN = 180 – 136 – 26 = 18º

    ∠QLN is the central angle subtended by the arc MN and is 18º

    Q3)

    The link to your pic says the pic is no longer there ....????

    Hope this has helped you! Cheers! :)

    .

    • Commenter avatarLogin to reply the answers
  • 3 years ago

    a million. only divide 40 two by utilising 50 to be sure Morgan's score on the try, in case you haven't any longer have been given a calculator to parent this out for you, an straightforward thank you to do it relatively is to teach 50 into a hundred by utilising multiplying by utilising 2 and then do a similar to 40 two, you get eighty 4%. Josh scored larger. 2. Divide 4 hundred meters by utilising 4 to get a hundred meters, then do a similar to ninety six seconds you will get 24. So it may take her 24 seconds to do the a hundred meter sprint. 3. The equation for the component of a rectangle is section=Width X length. So the section is 30 and the size is 5, plus this into the equation: 30=5 x width 6=width Now which you have the width multiply it by utilising 2 and then do a similar to the size because of the fact there are 2 aspects for the size and 2 aspects for the width. 2Width=12; 2Length=10 upload the two length aspects at the same time and the two width aspects at the same time and you get 22!!! HOORAY!

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.