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FrozenT [24]
3 years ago
11

⅔p + 4 < 20 can someone answer and show work plz

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:  p < 24

Step-by-step explanation: I'm assuming you mean solving for P

1.  We want to get p alone and the first step would be to subtract 4 from both side which will give us: ⅔p < 16

2. Next step would to be multiplying by 3 from both sides and doing this will cancel out the 3 in the denominator giving you: 2p < 48

3. Now we have to divide both sides by 2 and we are done which gives us:

<u>p < 24</u>

<u></u>

Don't forget if we were to be dividing by a negative the sign would flip

(for example: -2p < 6 = p > 3)  this isn't used in this problem but just a reminder if you see this in future problems

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Given: mMEJ=30°,<br> mMFJ= 50°<br> Find: mKL, mMJ
makvit [3.9K]

Applying the angles of intersecting secants theorem, the measures of the arcs are:

m(KL) = 20°; m(MJ) = 80°.

<h3>What is the Angles Intersecting Secants Theorem?</h3>

When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.

Given the following:

  • m∠MEJ = 30°
  • m∠MFJ = 50°

m∠MEJ = 1/2(MJ - KL)

30 = 1/2(MJ - KL)

60 = MJ - KL

KL = MJ - 60

m∠MFJ = 1/2(MJ + KL)

50 = 1/2(MJ + MJ - 60)

100 = 2MJ - 60

2MJ = 100 + 60

2MJ = 160

MJ = 160/2

MJ = 80°

KL = MJ - 60 = 80 - 60

KL = 20°

Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:

m(KL) = 20°; m(MJ) = 80°.

Learn more about angles of intersecting secants theorem on:

brainly.com/question/1626547

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