Answer:
CD = 8 cm
Step-by-step explanation:
Given
See attachment
[tex]AE=6 cm,\ ED=4 cm,\ AB=4.5 cm,\ BE=4.8 cm.[/tex]
Required
Find CD
To calculate CD, we first calculate BC using the following equivalent ratio
[tex]AB : BC = AE:ED[/tex]
Substitute values for AB, AE and ED
[tex]4.5 : BC = 6 : 4[/tex]
Express as fraction
[tex]\frac{4.5 }{ BC} = \frac{6 }{ 4}[/tex]
Cross Multiply
[tex]BC * 6 = 4.5 * 4[/tex]
[tex]BC * 6 = 18[/tex]
Divide through by 6
[tex]BC = 3[/tex]
To calculate CD,
We make use of the following equivalent ratio
[tex]AB : BE = AC : CD[/tex]
Where
[tex]AC = AB + BC[/tex]
[tex]AC = 4.5 + 3[/tex]
[tex]AC = 7.5[/tex]
So, we have:
[tex]AB : BE = AC : CD[/tex]
[tex]4.5 : 4.8 = 7.5 : CD[/tex]
Express as fraction
[tex]\frac{4.5 }{ 4.8 }= \frac{7.5 }{ CD}[/tex]
Cross Multiply
[tex]4.5 * CD = 7.5 * 4.8[/tex]
Divide through by 4.5
[tex]CD = \frac{7.5 * 4.8}{4.5}[/tex]
[tex]CD = \frac{36}{4.5}[/tex]
[tex]CD = 8[/tex]
What is the midpoint of the segment with endpoints (-1,6) and (0,7)
Answer:
( -0.5 , 6.5 )
Step-by-step explanation:
It was 4:00 P.M. when John started mowing the lawn and it took him 50 minutes to finish. What time did John finish mowing the lawn?
Answer:
4:50 P.M.
Step-by-step explanation:
Sorry I don't know how to properly explain it but I just added 50 minutes to 4 o' clock to get the answer.
Hope this helps!
Maybe brainliest?
Escribe el término "punto, línea, plano o superficie" según corresponda a la descripción a la que se hace referencia.
La pantalla de un cine.
Una cuerda tensa.
La punta de un lápiz
Una hoja de papel
La antena de un automóvil
La marca en la piel después de aplicar una vacuna
Un campo de fútbol
El doblez de un folder
La percepción de una estrella en el cielo
El cristal de una ventana
Punto:
La punta de un lápiz.Línea:
Una cuerda tensa.La antena de un automóvil.Plano:
La pantalla de un cine.Una hoja de papel.El cristal de una ventana.Superficie:
La marca en la piel después de aplicar una vacuna.Un campo de fútbol.El doblez de un folder.GeometríaEl punto es una entidad que tiene una posición, pero no tiene dimensiones (largo, ancho o alto). Por lo tanto, es de dimensión cero, es decir, adimensional. Contiene el significado de lugar, de existencia, pero no tiene elementos mensurables, es decir, no se puede medir.
En contextos geométricos, una línea es un cuerpo unidimensional de forma y longitud arbitrarias. Todos los objetos unidimensionales, como cuerdas, líneas rectas, mitades y perímetros, son líneas. Se cree que una línea se forma cuando un punto de dimensión cero se mueve en el espacio y forma una línea infinita de múltiples puntos.
Intuitivamente, el concepto de plano se puede describir como una superficie perfectamente recta (es decir, sin curvatura ni cavidad) y lisa, que tiene volumen cero y ocupa solo las dos dimensiones del espacio tridimensional.
La superficie de un objeto se refiere a una superficie bidimensional, que separa el objeto de otros objetos y del entorno. En topología, la superficie es una dimensión bidimensional.
Aprenda más sobre geometría en https://brainly.com/question/4637858
Find the slope of the line passing through each of the following pairs of points (0,7), (0,-8)
Answer:
Step-by-step explanation:
Answer:
The answer is unidentified
Step-by-step explanation:
I checked ;)
What is the mode of 3, 3, 4, 5, 10?
Answer:
3
Step-by-step explanation:
The mode is the number that occurs most frequently in a set of numbers
Also:
I saw that this is your first question. Welcome to the Brainly community.
The mode of the data set 3, 3, 4, 5, 10 is 3
What is mode?"It the value that appears most frequently in a data set.""A data set may have one mode, more than one mode, or no mode at all."For given question,
We have been given a set of data.
3, 3, 4, 5, 10
The frequency of each value in the data set is:
Value Frequency
3 2
4 1
5 1
10 1
We can observe that, 3 appears most frequently in a data set.
Therefore, the mode of the data set 3, 3, 4, 5, 10 is 3
Learn more about the mode of the data set here:
https://brainly.com/question/6813742
#SPJ2
please help I'm a week behind.Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.
Jessica drank 3 1/2 glasses of water that was twice as much as her sister how many glasses did Jessica drink
What is 5x5 cause I don’t know what it is
Answer:
25
Step-by-step explanation:
5 + 5 + 5 + 5 + 5 = 25
Answer:
25
Step-by-step explanation:
that the answer pick me brainliest plz
A restaurant wants to study how well its salads sell. If 10 of the salads sold were salads, how many total salads did the restaurant sell?
Answer:
Um... is this a joke it’s 10
Step-by-step explanation:
What is the unit rate for this?
Time: 1, 2, 3, 4
Amount: 0.6, 1.2, 1.8, 2.4
Answer:
1:0.6
Step-by-step explanation:
Plz help i need to do number 12 i need the area and perimeter make sure you round to the nearest whole number
Answer:
Area= 24 and perimeter equals 12
Step-by-step explanation:
Answer:
I think the perimeter is 18mm
Step-by-step explanation:
i assume that the curve is 6mm I take 6+6+2+2=18
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answer:
3
Step-by-step explanation:
Determine which postulate or theorem can be used to prove that
ΔSEA= ΔΡΕΝ.
Answer:
ASA
Step-by-step explanation:
ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.
if log x (8x-3) - logx 4=2 the value of x is ___ and ____
the answer is not 1/2 and 3/2. I've already tried that and it is wrong.
-6y -8 = -18
can anyone solve this
Answer:
-6y -8 = -18
18-8=6y
10=6y
y=10/6=5/3
Answer:
-6y - 8 = -18
+ 8 +8
-------------------
-6y = -10
----- -----
-6 -6
10 divided by 6 is 5/3
so y is 5/3
Find the mean for each set of data, weights of cats at a pet store in pounds: 5,4,10,7,6
Answer:
6.4
Step-by-step explanation:
add all numbers together then divide by 5
how is 3×3×3×3×3×3×3 written in exponential form
Answer:
7
Step-by-step explanation:
3 * 3 * 3 * 3 * 3 * 3 * 3 = [tex]3^{7}[/tex]
Answer:
3×3×3×3×3×3×3 is
Step-by-step explanation:
3 multiplied by itself 7 times will give you 3 to the 7th power.
Which of the following best describes why the Hours of Service Regulations were put into place?
To minimize the number of vehicles on the road at night
To reduce the number of accidents caused by fatigue
To protect the rights of shippers
Answer:
To reduce the number of accidents caused by fatigue
Step-by-step explanation:
I don't know if its right
Kate has some dimes and quarters. If she has 23 coins worth a total of $3.50, how many of each type of coin does she have?
23=d+q, d=23-q
350=10d+25q, using d from above
350=10(23-q)+25q
350=230-10q+25q
120=15q
q=120/15
q=8, and since d=23-q
d=23-8=15
So there are 15 dimes and 8 quarters
PLEASE HELP ;-; Ill GIVE BRAINLY
What is the solution to the following system of equations? Explain how you know.
Answer:
-3,1
Step-by-step explanation:
When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer
I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!
Answer:
The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!
Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.
Hope it was clear explanation.
What is the domain and range of the relation?
Answer:
I think option c is answer
Choose the graph that solves this system of equations.
y = 2x - 6
y = -4x + 3
The Option C is correct.
System of equations:
Given equations are,
[tex]y = 2x - 6\\\\y= -4x + 3[/tex]
When we draw the graph of both equation of line.
Then these lines intersect at a point [tex](1.5,-3)[/tex].
So that option C is correct.
The correct graph is attached below.
Learn more about the system of equations here:
https://brainly.com/question/13729904
The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the order is unimportant and the mega number need not be different from the other numbers). (11) What is the probability of all five numbers and the mega number matching the winning numbers
Answer:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Probability of the five numbers matching:
Desired outcomes: 1 -> the matching numbers
Total outcomes: 5 from a set of 47. So
[tex]T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939[/tex]
Probability:
[tex]p_{S} = \frac{1}{1533939}[/tex]
Probability of the mega number matching:
1 from a set of 27. So
[tex]p_M = \frac{1}{27}[/tex]
Probability of both matching:
Independent events, so we multiply the probabilities:
[tex]p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}[/tex]
1/41416353 probability of all five numbers and the mega number matching the winning numbers
15. Which of the following sets of quantum numbers are allowed
a) n=1, 1 = 0 and m=0
c) n=1,1=0 and m = +1
b) n=2, 1 = 2 and m =+ 1
d) n = 2, 1= 2 and m = 0
Answer:
I'm not exactly sure but its 3 am here so it might be wrong but ima go with d
In Exercises 3 and 4, find the values of x and y
plz help!!!
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.
Given :
The triangle ABC is given in the figure.
In an equilateral triangle, all angles are equal and therefore, each side is equal.
16 + y = 46
y = 46 - 16
y = 30
An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.
Applying sum of interior angles property:
80 + 60 + (60 - x) = 180
200 - x = 180
x = [tex]20^\circ[/tex]
For more information, refer to the link given below:
https://brainly.com/question/19237987
What is 120% of 180?
Step-by-step explanation:
[tex] \tt{120 \: \% \: of \: 180}[/tex]
Convert % to fraction. For that , Divide 120 by 100 :
⇢ [tex] \tt{ \frac{120}{100} \times 180 }[/tex]
Calculate
⇢ [tex] \tt{216}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{216}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Help ASAP I’ll mark brainliest
Answer:
a
Step-by-step explanation:
a is positive
b is idek just scattered
c is a scattered correlation aswell
d is a negative correlation
An office spends $375.00 per month on office supplies.
The manager wants the company to decrease office
supply costs by 16%. How much money would that save
each month?
Answer:
$51 saved.
Step-by-step explanation:
Well 12% of $425 is found by multiplying
(.12)(425) = $51 saved.
There are 18 black and 12 navy socks in your drawer. The room is dark and you
cannot turn on the light. What is the least number of socks that you have to take out of
your drawer to be certain that you have a pair of black socks?
The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
Given that,
There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.
We have to determine
What is the least number of socks that you have to take out of your drawer to be certain that you have a pair of black socks?
According to the question,
The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:
The total number of blue socks is 18,
And the total number of navy socks is 12.
The probability that the socks come out is black socks is,
[tex]\rm P_b = \dfrac{18}{18+12}\\\\P_b= \dfrac{18}{30}\\\\P_b = \dfrac{3}{5}[/tex]
And the probability that the socks come out is navy socks is,
[tex]\rm P_n = \dfrac{12}{18+12}\\\\P_n= \dfrac{12}{30}\\\\P_n = \dfrac{2}{5}[/tex]
On comparing both the probability,
[tex]\rm P_b>P_n[/tex]
Hence, The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
For more details refer to the link given below.
https://brainly.com/question/19200823
Answer:3
Step-by-step explanation:
I found this out because is you take 3 out you will get BLUE BLUE BLACK or BLACK BLACK BLUE or BLUE BLUE BLUE or BLACK BLACK BLACK
Hope that helps