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3 years ago

What is the value of x? Enter X : (Look at the photo)

Mathematics

1 answer:

Anton [14]3 years ago

8 0

Answer:

x = 20

Step-by-step explanation:

Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.

3x + 50 = 6x - 10

Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.

50 = 3x - 10

Move the 10 to the left by adding it to both sides.

60 = 3x

Divide the 3 from both sides to isolate the x.

x = 20

Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.

3(20) + 50 = 6(20) - 10

110 = 110

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A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6

Anuta_ua [19.1K]

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

Data

mean: 80 points

standard deviation (sd): 6 points
value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

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P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

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3 years ago

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Akimi4 [234]

How many 3 $\frac{3}{4}$ wires can be cut from a spool of wire that is 100 inches long?

How many inches will be left over?

Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.

Number of pieces = 100 ÷ 3 $\frac{3}{4}$ = 100 ÷ $\frac{15}{4}$

That gives $\frac{100 * 4}{15}$

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Answer:

Step-by-step explanation:

68/4=17

68-17=51

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