All categories

2 years ago

Find the value of x. B 6 X+1 D E С A x = [?]

Mathematics

1 answer:

WITCHER [35]2 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

$\frac{6}{x+1}$ = $\frac{4}{x}$ ( cross- multiply )

6x = 4(x + 1)

6x = 4x + 4 ( subtract 4x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

You might be interested in

The average reading speed of students completing a speed-reading course is 435 words per minute (wpm). If the standard deviation

nekit [7.7K]

Answer:

$Z = -1.58$

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

$Z = 0.67$

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

$Z = -0.25$

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

$Z = 2.92$

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations a measure X is above or below the mean.

In this problem, we have that:

$\mu = 435, \sigma = 60$

a. 340 wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{340 - 435}{60}$

$Z = -1.58$

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

b. 475 wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{475 - 435}{60}$

$Z = 0.67$

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

c. 420wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{420 - 435}{60}$

$Z = -0.25$

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

d. 610wpm

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{610 - 435}{60}$

$Z = 2.92$

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

6 0

3 years ago

PLEASE HELP GIVING AWAY 20 FREE POINTS AND BRAINLIEST FOR CORRECT ANSWERS!!!

Angelina_Jolie [31]

Answer: Lol the one you have it on is correct

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A Child’s Growth and Prosperity

MArishka [77]

Answer:

a) 0.75 inch/month

b) y-20 = 0.75(x-4)

c) 17 inches

d) 44

a) 0.8 inch/month

b) yes

c) y = 0.8x + 18.8

d) 18.8 inches

Step-by-step explanation:

a) (21.5-20)/(6-4) = 1.5/2

= 0.75 inch/month

If this is correct, 2 months after the 6th month (month 8), it should be

21.5 + 2(0.75) = 23

Which it is

b) y-y1 = m(x-x1)

Where y is the length, x is the months, m is the slope and (x1,y1) is a known point

At x = 4, y = 20

y-20 = 0.75(x-4)

y = 0.75x + c

20 = 0.75(4) + c

c = 20 - 3 = 17

y = 0.75x + 17

c) at birth, 4 months before month 4

So, 20 - 0.75(4) = 17

Which is also the y-intercept

d) y = 0.75(36) + 17

y = 27 + 4 = 44 inches

Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches

a) slope = (30-22)/(14-4)

= 0.8 inch/month

b) 0.8 > 0.75, so yes

c) When x = 4, y = 22

y-22 = 0.8(x - 4)

y - 22 = 0.8x - 3.2

y = 0.8x + 18.8

y-intercept is 18.8

d) at birth, x = 0.

Length was 18.8 inches

Step-by-step explanation:

6 0

2 years ago

13 inches eaquals iwhat n fraction

rusak2 [61]

Answer:

13" = 13/1" = 13"

Step-by-step explanation:

5 0

3 years ago

I need help plsss<br> Nowww

enyata [817]

8: tenths
9:hundredth
7:thousandth

8 0

3 years ago