Qfind the product. Write the product in simplest form 1 2/3 x 4 2/5

Points A, B, and C are collinear, and B lies

olya-2409 [2.1K]

Answer:

BC = 30

Step-by-step explanation:

If the three points are collinear, it means they lie on the same straight line.

Now B lies between A and C

By mathematical convention;

AC = AB + BC

This means;

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48-8 = 5x

5x = 40

x = 40/5

x = 8

From the question BC = 3x + 6

Substitute the value of x; 3(8) + 6 = 24 + 6 = 30

3 0

3 years ago

Nb gn njjrndndnfnfjdjfjfi

WARRIOR [948]

Answer:

jkbgf7jhfdt7jceru9onvdtihdr

6 0

3 years ago

Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in

grin007 [14]

Answer:

$(B) P(B)=\dfrac{16}{31}$

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

$P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}$

The only correct option is the probability of B which is $\frac{16}{31}$

8 0

4 years ago

In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Hitman42 [59]

$\longmapsto$ The value of "x" is 5.

$\large\underline{\sf{Solution-}}$

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

$\rm In \: \triangle \: AOB \: and \: \triangle \: COD$

$\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}$

$\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}$

$\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}$

$\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO}$

$\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4}$

$\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2}$

$\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x$

$\rm \longmapsto\: 3x - 4 = 1 + 2x$

$\rm \longmapsto\: 3x - 2x= 1 +4$

$\bf\longmapsto \:x = 5$

7 0

3 years ago

1. Seekor burung helang berada 4.56 m di atas aras laut manakala seekor kuda laut berada 6.82 m

s2008m [1.1K]

(a) Calculate the vertical distance between the eagle and the seahorse.

Answer a: 11.38 meters is the vertical distance between them.

(b) Describe Adrian's position from the sea level.

Answer b: Adrian is 1.13m below the sea level.

Step-by-step explanation:

(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.

The vertical distance between the eagle and the seahorse is the difference between their positions:

Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters

Answer a) 11.38 meters is the vertical distance between them.

(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:

Middle = 11.38m/2 = 5.69m

Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:

4.56m - 5.69m = -1.13m

Answer b: Adrian is 1.13m below the sea level.

<h2><em>Spymore</em></h2>

6 0

3 years ago