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3 years ago

Find x so that b ll e??????

Mathematics

1 answer:

tekilochka [14]3 years ago

8 0

x=6

(6x+4) = (8x-8)

∠3 and ∠6 have to be equal since they are opposite interior angles (these angles are always equal to each other). Opposite interior angles prove that two lines are parallel if they are equal, so you just set them equal to each other and solve for x.

(6x+4) = (8x-8)

-6x -6x

4 = (2x-8)

+8 +8

12 = 2x

/2 /2

6 = x

CHECK

(6x+4) = (8x-8)

(6[6]+4) = (8[6]-8)

(36+4) = (48-8)

40 = 40

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What is Mean Absolute Deviation (MAD)? How do I do it? (Please have an example to show.)

masha68 [24]

Explanation:

It is the average (mean) of the absolute values of the differences between a set of numbers and their mean.

Example: consider the set {1, 2, 4}. The mean is computed in the usual way: the sum divided by the number of contributors —

mean = (1 + 2 + 4)/3 = 7/3 = 2 1/3

Then the deviations are ...

1 -2 1/3 = -1 1/3 . . . . the absolute value of this is 1 1/3

2 -2 1/3 = -1/3 . . . . . the absolute value of this is 1/3

4 -2 1/3 = 1 2/3 . . . . the absolute value of this is 1 2/3

The mean of these absolute values is their sum divided by the number of them:

(1 1/3 +1/3 +1 2/3)/3 = (3 1/3)/3 = 1 1/9

The MAD of {1, 2, 4} is 1 1/9.

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Your graphing calculator or spreadsheet program may have a function that will calculate this for you.

7 0

3 years ago

* WILL GIVE BRIANLIEST*(08.03)Consider the following set of equations:

cluponka [151]

The third choice is very useful. It's valid because two things that are both equal to 'y' are equal to each other, and it can be easily solved to find 'x'.

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3 years ago

Read 2 more answers

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

enyata [817]

Answer:

Your answer is A 7,040 yards.

Step-by-step explanation:

8 0

3 years ago

A parabola can be drawn given a focus of (3, 1) and a directrix of x = -5. What can

hjlf

Answer:

The statements that can be made about the parabola are;

The parabola opens towards the right

The equation of the parabola is (y - 1)² = 16 × (x + 1)

The parabola has a vertex at (-1, 1)

Step-by-step explanation:

The given focus of the parabola is (3, 1)

The directrix of the parabola, x = -5

Therefore, from the location of the directrix (on the x-axis) and the location of the focus relative to the directrix towards the positive direction of the x-axis relative to the directrix, the parabola opens towards the left of the coordinate chart

The general equation of the focus = (h + p, k)

The general equation of the directrix, x = h - p

Comparing with the values of the focus and the directrix of the given parabola, we have;

(3, 1) = (h + p, k)

-5 = h - p

Therefore, we get;

k = 1

h + p = 3...(1)

h - p = -5...(2)

Adding equation (1) to equation (2) gives;

h + h + p - p = 3 + (-5)

2·h = -2

h = -2/2 = -1

h = -1

From equation (1), we get;

h + p = -1 + p = 3

∴ p = 3 + 1 = 4

p = 4

The vertex of the parabola, (h, k) = (-1, 1)

The equation of the parabola in the form (y - k)² = 4·p·(x - h) is therefore, presented as follows;

The equation of the parabola = (y - 1)² = 4 × 4 × (x - (-1))

(y - 1)² = 16 × (x - (-1))

The equation of the parabola is (y - 1)² = 16 × (x + 1).

7 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

DochEvi [55]

Answer: $\bold{a_1=\dfrac{1}{2}\qquad a_n=\bigg(\dfrac{4}{3}\bigg)a_{n-1}}$

<u>Step-by-step explanation:</u>

The explicit rule for a geometric sequence is: $a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the common ratio}$

$\text{From the explicit rule provided:}\ a_n=\dfrac{1}{2}\bigg(\dfrac{4}{3}\bigg)^{n-1}}\\ \text{we know that}\ a_1=\dfrac{1}{2}\ \text{and r =} \dfrac{4}{3}$

$\text{The recursive rule for a geometric sequence is:}\ a_n = (r)a_{n-1} \\\\\text{So, the recursive rule is:}\ a_n=\bigg(\dfrac{4}{3}\bigg)a_{n-1}$

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3 years ago