4. In the figure, points A, B, and Clie in plane Z. Which of the following postulates can be used to show that A and B are collinear?
O Through any two points, there is exactly one line.
O Through any three points not on the same line, there is exactly one plane.
O If two lines intersect, then their intersection is exactly one point.
o If two planes intersect, then their intersection is a line.
Collinear points are points that lie on the same line.
The postulate to prove that A and B are collinear is: (a) Through any two points, there is exactly one line.
From the question, we understand that:
A, B and C are in plane ZA and B are collinearFor A and B to be collinear, then:
A line must pass through A and B, in such a way that points A and B lie on that line
Because only one line can pass through any two points, the appropriate postulate to use is: (a) Through any two points, there is exactly one line.
Read more about collinear points at:
https://brainly.com/question/1593959
please help this is due today
Answer:
Q4) 256 roses
Q5) 40 hamburgers
Q6) 60 professors and 168 lecturers
Q7) 20 percussionist on the sideline
Step-by-step explanation:
Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:
I) 160:5 = x:8 (using colon) or
II) 160/5 = x/8 (as two equal fractions)
You can use one of the two above.
I used the fractions here to solve the question.
After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:
160×8 = 5×x
1280 = 5x
5x = 1280
Now you have to divide on both sides to isolate x.
5x÷5 = 1280÷5
x = 256
Therefore your answer is 256 roses.
Q5) Use the same method in Q4.
Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.
First thing your going to do is add the proportion together. So basically 5+14=19.
After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.
And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12
60:168
To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.
Your final answer: There are 60 professors and 168 lecturers.
Q7) Use the same method done in Q6.
I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.
X-4\7=-10 what is equal to x
Answer:
x = -66
Step-by-step explanation:
x-4 = -10 * 7
x - 4 = -70
x = -70 + 4
x = -66
Feel free to mark this as brainliest! :D
Someone help plz and plz make sure it’s right will mark brainiest:)
175% of what number is 217?
David is driving through a school zone. He travels 1 km and it takes him 2.5 minutes to get through the school zone. What was his average speed in km/h?
Answer:
change 2.5min into hours then to find speed take distance over time getting 1/24 as the answer
Help please thanks
Answer:
a) (x - 1) (x + 4)
b) (x + 1) (x - 3)
c) (x - 2) (x + 4)
please answer soon! and make sure to explain the steps!!
Answer:
15
Step-by-step explanation:
140x(3/4)=105 went to sport club
105x(1/7)=15 went to sport club and art club
Help please, it is easy but not for me.
Answer:
60.28.
Step-by-step explanation:
We need the sine function because we are given the opposite side and we need the hypotenuse.
sin 71 = 57 / x
Cross multiply
x * sin 71 = 57
x = 57 / sin 71
= 60.28.
3.1 María obtuvo 24 de los 25 problemas correctos en su prueba. ¿Qué puntuación obtuvo?
Answer:
96% del 100 %
Step-by-step explanation:
de nada papu
On a Physical Science exam, students earn 3 points for a correct response, 1 point for a partially
correct response, and 0 points for an incorrect response Suppose a student had 8 partially correct
responses and 4 incorrect responses and received a total of77 points on the exam. Write an
equation that can be used to solve for the number of correct responses the student had. Use c to
represent correct responses.
O 77=C+4
077 - 3C+8
O 77= 30+ 4
O 77= C+8
Answer:
77=c=8
Step-by-step explanation:
What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)
the sum of person x and person y is 2640. if person x's income is 20% more than person y, find person x's income.
please answer fast fast plssssss as soon as possible
Answer:
I do not understand she question do you mean the sum of their income is 2640
if so, then the answer is 440 to be x income
Step-by-step explanation:
x income = 20% or 1/5 of y income
y income = 5 of x income
we know that the sum of their income = 2640
which means that
x + y = 2640 =
1/5y + y = 2640
6y/5 = 2640
cross multiply to give us
6y = 5(2640)
6y = 13200
divide through by 6 to give us,
6y/6 = 13200/6
y = 2200
since we know that x income is 20% y income,
therefore, x income =
20/100 * 2200
= 440
therefore,
x income = 440
y income = 2200
Answer:
1440Step-by-step explanation:
The equations to reflect the given:
x + y = 2640x = y + 20% ⇒ x = 1.2ySubstitute the value of x into first equation and solve for y:
1.2y + y = 26402.2y = 2640y = 2640/2.2y = 1200Find x:
x = 2640 - 1200 = 1440Solve the inequality for x. Show each step of the solution.
4x-6(x+1)>12
Examine the terms below. Write a sentence explaining what the terms have in common.
a. indentured servant b. debtorWhy did George Calvert establish the colony of Maryland?
Answer:
If a debtor wasn't able to pay his/her debt off they would be forced to become an indentured servant and work there debt off.
For English Catholics, who were discriminated at the time. They settled in the colony of Maryland to escape persecution under the hands of Anglicans.
Kylie just accepted a job at a new company where she will make an annual salary of
$43000. Kylie was told that for each year she stays with the company, she will be
given a salary raise of $5000. How much would Kylie make as a salary after 6 years
working for the company? What would be her salary after t years?
Step-by-step explanation:
293000
A basketball player spent 6 hr
watching game films, practic-
ing free throws, and lifting
weights. He spent twice as
much time lifting weights as
practicing free throws and
2 hr longer watching game
films than practicing free
throws. How many hours did
he spend on each task?
Answer:
watching game= 3 hours
practicing free throw= 2 hours
lifting weight=1 hour
A number written in an addition sentence by place value position is written in:
It has to be one of these, word form, expanded form,normal form,standard form or exponential form.
Answer:
normal form
Step-by-step explanation:
1. Obtén la pendiente de las siguientes rectas, grafícalas y determina si las rectas L1 y L2, cuyas ecuaciones son 3x+4y-2=0 y 3x+4y+6=0, son paralelas o no.
Queremos obtener la pendiente de dos lineas dadas, y en base a eso, determinar si son paralelas o no.
Las pendientes son para ambas lineas igual a -3/4, como ambas lineas tienen la misma pendiente y diferente ordenada al origen, podemos concluir que son paralelas.
-----------------------------
Una línea en general se escribe como:
y = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
En este problema se nos dan las líneas:
3*x + 4*y - 2 = 0
3*x + 4*y + 6 = 0
Comencemos por reescribir esas líneas en la forma más general, para hacer esto, debemos aislar y en ambas ecuaciones:
y = (-3/4)*x + 2/4
y = (-3/4) - (6/4)
Aqui podemos ver que ambas pendientes son iguales a -3/4
Al final de la respuesta puedes ver el gráfico de ambas líneas.
Como ambas líneas tienen la misma pendiente, pero distintas ordenadas al origen, podemos concluir que son paralelas.
Esto mismo se puede observar en el gráfico de abajo.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/19928130
There are a total of 84 campers attending a summer camp. The ratio of boys to girls is 4 to 3.
How many girls are attending the summer camp?
Enter your answer in the box.
Helpppppppppp :) please y’all question 3 and 4
Answer:
3) = C (0.505)
4) = B (4.32 kilograms)
Step-by-step explanation:
0.505 is in-between 0.482 and 0.51
1.08 X 4 = 4.32
Answer:
3. C. 0.505 gram
4. B. 4.32 kilograms
Describe the process for selecting points when dilating a curved figure.
When dilating a curved figure, you have to make sure to use a lot of points to produce a decent image of the original figure. You also have to make sure that the points you choose are not all concentrated in just one part of the figure.
Tony is saving money to buy a game. So far he has saved S18, which is two-thirds of the total cost of the game. How much does the game cost
What is the value of 3/8 X -4.5 when X= 0.4
Answer:
-4.35
Step-by-step explanation:
3/8 X -4.5
3/8 (0.4) - 4.5
0.15 - 4.5
= -4.35
Answer:
-4.35
Step-by-step explanation:
You multiply three eights times .4 which gives you .15, then you subtract that from 4.5 which gives you 4.35
Solve the proportions 1/8 = 7/2h
Please helppppp pls ……
Ryan borrowed $725 at an interest rate of 6.25%. How much interest will be pay if it takes 2 years to pay off his loan?
Answer:
$830 sana maka tulong po salamatFirst Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?
(Answer is ratio or proportion)
We want to find a proportional relationship between the number of pilots and aircraft, and use that to find the number of aircrafts for a given number of pilots.
We can expect to have 94 aircrafts if there are 250 pilots.
Let's see how to get that.
We start by defining what a proportional relationship is.
A proportional relationship between two variables x and y can be written as:
y = k*x
Where k is the constant of proportionality.
Here we do know that there are 40 pilots for every 15 aircrafts, then we can replace these values in the general proportional equation, where x will be the number of aircrafts and y the number of pilots.
40 = k*15
40/15 = k
Now we know the proportional relationship:
y = (40/15)*x
Now to find the number of aircrafts given that we have 250 pilots, we just need to replace the number of pilots by 250 and solve for x:
250 = (40/15)*x
250*(15/40) = x = 93.75
We can round this to the next whole number, 94.
So we can expect to have 94 aircrafts if there are 250 pilots.
If you want to learn more, you can read:
https://brainly.com/question/13114933
Two fifth of pupils in a standard 7 class were girls.There were 27 boys in the class. ( a) how many girls were there. (b) how many peoples were there in the standard 7 class
Answer:
a. 18
b. 45
Step-by-step explanation:
The question states that 2/5 of the class are girls which means 3/5 are boys:
[tex]\frac{3}{5} = 27[/tex]
Divide this value by 3 to get the value of [tex]\frac{1}{5}[/tex]:
27 ÷ 3 = 9
Multiply this by 5 to find [tex]\frac{5}{5}[/tex], the total pupils in the class:
9 x 5 = 45
As the number of girls is [tex]\frac{2}{5}[/tex] of the total pupils:
9 x 2 = 18
So there are 18 girls in the class which has a total pupil size of 45.
Hope this helps!
Step-by-step explanation:
according to question of ⅖ are girls than ⅗ are boys
so let the number of girls be x
so,
→ ⅗ of x = 27
→ x = 27 × 5/3 = 9×5 = 45
→ x = 45
a ) 45 - 27 = 18
than no. of girls is 18.
b) thier are 45 students in total.
hope this answer helps you dear...take care and may u have a great day ahead!
Sheila can ride her bicycle 6,000 meters
in 15 minutes. How far can she ride her
bicycle in 2 minutes?