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Georgia [21]
3 years ago
5

The 32 students in Ms.Byrd's art class made a project with construction paper. Eleven students used red construction paper, 8 st

udents used green construction paper, and the rest of the students used blue construction paper. If Ms. Byrd chooses one project at random, what is the probability it will be blue? Plz explain and show work.
A. 1/4
B. 11/32
C. 13/32
D.2/3
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer: The correct answer is C. 13/32

Step-by-step explanation: There are 32 students, and 11 + 8 = 19. SO in order to figure out how many students used blue, we need to subtract 19 from 32. that gives us 13. So:

13 out of 32 students, or

13/32

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Answer:

∠MLP = 72° ,           ∠LJK = 22° ,            ∠JKL = 72° ,          ∠KLJ  =  86°

Step-by-step explanation:

Here, given In ΔJLK and  ΔMLP

Here,  JK  II  ML,  LM = MP

∠JLM = 22° and  ∠LMP = 36°

Now, As angles opposite to equal sides are equal.

⇒ ∠MLP = ∠MPL  = x°

Now, in  ΔMLP

By <u>ANGLE SUM PROPERTY</u>:   ∠MLP + ∠MPL  + ∠LMP = 180°

⇒ x° + x° + 36° = 180°

⇒ 2 x  = 180 - 36 = 144

or, x  = 72°

⇒ ∠MLP = ∠MPL  = 72°

Now,as  JK  II  ML

⇒ ∠LJK = ∠JLM = 22° ( Alternate pair of angles)

Now, by the measure of straight angle:

∠MLP + ∠JLM + ∠JLK = 180°  ( Straight angle)

⇒ 72° + 22° + ∠JLK = 180°

or, ∠JLK  =  86°

In , in  ΔJLK

By <u>ANGLE SUM PROPERTY</u>:   ∠JKL + ∠JLK  + ∠LJK = 180°

⇒  ∠JKL + 86° + 22° = 180°

⇒ ∠JKL   = 180 - 108 = 72 , or ∠JKL = 72°

Hence, from  above proof ,  ∠MLP = 72° , ∠LJK = 22° , ∠JKL = 72° ,

∠KLJ  =  86°

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Please help me with this.
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Answer:

C) 2,197 cubes

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