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1 year ago

What is value of x? Enter your answer in the box.

Mathematics

1 answer:

disa [49]1 year ago

7 0

Answer:

x = 10

Step-by-step explanation:

the ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

$\frac{x+4}{2x +1}$ = $\frac{8}{12}$ = $\frac{2}{3}$ ( cross- multiply )

2(2x + 1) = 3(x + 4) ← distribute parenthesis

4x + 2 = 3x + 12 ( subtract 3x from both sides )

x + 2 = 12 ( subtract 2 from both sides )

x = 10

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Work out the gradient of the straight line that passes through (2,6) and (6,12)

Furkat [3]

Answer:

The gradient of the straight line that passes through (2, 6) and (6, 12) is $m = \frac{3}{2}$ .

Step-by-step explanation:

Mathematically speaking, lines are represented by following first-order polynomials of the form:

$y = b + m\cdot x$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$m$ - Slope.

$b$ - Intercept.

The gradient of the function is represented by the first derivative of the function:

$y' = m$

Then, we conclude that the gradient of the staight line is the slope. According to Euclidean Geometry, a line can be form after knowing the locations of two distinct points on plane. By definition of secant line, we calculate the slope:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of point A.

$x_{B}$ , $y_{B}$ - Coordinates of point B.

If we know that $A(x,y) = (2,6)$ and $B(x,y) = (6,12)$ , then the gradient of the straight line is:

$m = \frac{12-6}{6-2}$

$m = \frac{6}{4}$

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The gradient of the straight line that passes through (2, 6) and (6, 12) is $m = \frac{3}{2}$ .

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2 years ago

At the Canada Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The

kondaur [170]

Answer:

a) 54 mph to 144 mph

Step-by-step explanation:

We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

At least eight-ninths of the player's serves.

8/9 is approximately 89%

Mean: 99, standard deviation: 15

99 - 3*15 = 54

99 + 3*15 = 144

So the correct answer is:

a) 54 mph to 144 mph

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2 years ago

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Brrunno [24]

Answer:

Step-by-step explanation:

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2 years ago

What is value of x? Enter your answer in the box.​

What is value of x? Enter your answer in the box.