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romanna [79]
3 years ago
7

At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 history instructors, and 4 english instru

ctors. If an instructor is selected, find the probability of getting a computer science instructor or a mathematics instructor
Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0

Answer:

12/19.

Step-by-step explanation:

There are 19 instructors altogether.

Probability (getting a computer science instructor) =  5/19.

Probability (getting a mathematics instructor) =  7/19.

As this  a 'compounded or'  probability  these values are added so the answer is 5/19 + 7/19

= 12/19.

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Step-by-step explanation:

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8 0
2 years ago
A) For ΔJKL use the Triangle Proportionality Theorem to solve for x.
scoray [572]

Answer:

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is 79\ units

Step-by-step explanation:

Part a) Find the value of x

we know that

The <u>Triangle Proportionality Theorem,</u> states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

\frac{3x-5}{3x-5+10}=\frac{28-8}{28}\\ \\\frac{3x-5}{3x+5}=\frac{20}{28} \\ \\(3x-5)(28)=(3x+5)(20) \\ \\84x-140=60x+100\\ \\84x-60x=140+100\\ \\24x=240\\ \\x=10

Part b) we know that

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substitute the values

P=(3x+5)+28+16=3x+49

substitute the value of x

P=3(10)+49=79\ units

8 0
3 years ago
One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?
Nastasia [14]
Angle 1 = 8x + 45
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x + 8x  + 45 = 180
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9x + 45 = 180
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9x = 135
divide both sides by 9 to isolate x

x = 15

Angle 1 = 8(15) + 45 = 165 degrees
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6 0
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pav-90 [236]

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rises

Step-by-step explanation:

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5 0
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<h2>☺︎︎Hence proved✔︎</h2>
4 0
3 years ago
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