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2 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer:

this one is supplementary and x equals 31

Step-by-step explanation:

Remember, complementary angles add up to equal 90 degrees whereas supplementary angles add up to equal 180 degrees.

In this case, since your angles together form a straight line, they're supplementary angles. Now, to solve for x:

(3x + 25) + 2x = 180 (step 1: set the equation equal to 180)

5x + 25 = 180 (step 2: combine like terms)

-25 -25 (step 3: subtrace 25, BS)

5x = 155

5x / 5 = 155 / 5 (step 4: divide by 5, BS to get x by itself)

x = 31

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Can you help me with this one

Gelneren [198K]

Answer:

Step-by-step explanation:

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2 years ago

Suppose that Y1,....Yn are i.i.d random variables with a N (μγ, σ^2y) distribution. How would the probability density of Y chang

klemol [59]

Answer:

Step-by-step explanation:

As the sample size n increases, the sample mean (μy) becomes a more accurate estimate of the parametric mean, so the standard error of the mean becomes smaller. Therefore, the variance of y decreases and the distribution of y becomes highly concentrated around μy.

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3 years ago

Someone please answer.

lutik1710 [3]

Answer:

I don't no sorry for that

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2 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$

Midpoint of given line

$= ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )$

$= ( \frac{ - 6}{2} , \frac{ - 4}{2} )$

$= ( - 3 , - 2)$

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0

2 years ago

Scientific notation for 3427

Deffense [45]

Answer:

3.427 *10^3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

5 0

2 years ago