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Darya [45]
2 years ago
12

There are 12 colored blocks of equal size in a bag . 4 of these blocks are blue , 5 are green , and 3 are red . if a block is re

moved from the bag at random , what is the probability that it will be blue ?
A. 1/2
B. 5/12
C. 1/3
D. 1/4
Mathematics
1 answer:
o-na [289]2 years ago
4 0
Probability = amount of blue/ amount of all
Probability = 4/12
Probability = 1/3
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Step-by-step explanation:

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?
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\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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The degree measure of the four add up to 360 degrees. This is actually true of any quadrilateral. Let lower case letter a,b,c and d represent the angle of trapezoid ABCD. Then a+b+c+d= 360 degreees.

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