Use the diagram above. Is AB congruent to DE? To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result? Why?
Answers
Answer:
(a) Segments AB and De are not congruent since their lengths are not equal.
(b) Yes, you get the same result. In both cases you must take the absolute value of the difference of the coordinates giving you the same result no matter in which order you subtract the coordinates of the points.
Step-by-step explanation:
(a)
To find the distance between any two points on the number line, take the absolute value of the difference of the coordinates of the points.
The coordinate of point P is p. The coordinate of point Q is q. PQ or QP, the distance between points P and Q, is:
PQ = QP = |p - q| = |q - p|
It does not make a difference in which order you find the diffeence of the coordinates.
Look at points A and B.
Point A has coordinate -2.
Point B has coordinate 3.
AB = |-2 - 3| = |-5| = 5
Now look at points D and E.
Point D has coordinate 10.
Point E has coordinate 14.
DE = |10 - 14| = |-4| = 4
AB = 5; DE = 4
Answer: The lengths of segments AB and DE are not equal, so the segments are not congruent.
(b)
The coordinate of point A is -2.
The coordinate of point C is 5.
AC = |-2 - 5| = |-7| = 7
If you subtract -2 from 5, and then take the absolute value, you get:
AC = |5 - (-2)| = |5 + 2| = |7| = 7
Again you get 7. The order in which you subtract the coordinates of the points does not affect the result since you take the absolute value of the difference in both cases.
AC =
Related Questions
the population in the town of Dexterville is projected to increase by 135% By 2040. If the current population in Dexterville is 2460, what is the projected population by 2040(PLEASE ANSWER QUICKLY I NEED IT ASAP)
Answers
It would be 3,321. 2040 times 1.35 equals 3,321.
Can somebody help please?
Also there are 10 people :3
Answers
Answer:
12
Step-by-step explanation:
adding them altogether
Which of the following represents a possible combination of books that Derek can buy?
A. (-2, 15)
B. (0, 10)
C. (2, 5)
D. (3, 5/2)
Answers
Which of the following equations are true about the following parallelogram?
Answers
Answer:
A, B, E
Step-by-step explanation:
A is true since the sum of the measures of two consecutive angles of a parallelogram is 180 deg.
B is true since opposite angles of a parallelogram are congruent.
C is false since that equation gives x = -1, but x cannot equal -1 since that would make angle 3x - 12 have a negative measure.
D is false for the same reason as choice C.
E is true since x = 20 is the solution of the equations in choices A and B.
what is x ^ 2 × x^-12
Answers
Answer:
1/x^10
Step-by-step explanation:
hope that helps:)
Hope this helped :)
Mark simplified 3/5 divided by 5/8 his work is shown below.Identify where he made his error.
Original division problem: 3/5 divided by 5/8
Step 1: 3/5• 8/5
Step 2: 3•8
5•5
Step 3: 24/5
Step 4: 4 4/5
Please help fast :)
Answers
Answer:
step two
Step-by-step explanation:
Solve the equation below. 3/2x – 5 = 7
Answers
Answer:
x = 8
Step-by-step explanation:
Add 5 to each side, so it now looks like this: [tex]\frac{3}{2}x = 12[/tex] Divide each side by 3/2, so it now looks like this: x = 8I hope this helps!
Decimal form: 0.125
Hope this helps !
Mrs. Phan wants to buy tulips and lilies for her house. She needs at least 5 containers of tulips and at least 5 containers of lilies. Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?
Answers
Answer:
She can buy a maximum number of 15 containers
Step-by-step explanation:
We are told from the question that:
Mrs. Phan needs at least 5 containers of tulips and at least 5 containers of lilies.
Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?
Let x represent the number of Can of tulips for both tulips and lilies
x ≥ 5 cans for both tulips and lilies
$6 × x + $4 × x = $75
6x + 4x = 75
10x = 75
x = 75/10
x = 7.5 cans
This means , 7.5 containers for tulips and 7.5 containers for lilies
Adding up both containers, we have :
7.5 + 7.5 = 15 containers
Therefore, the greatest number of containers she can buy is 15 containers
angle is bisected, forming two new angles. If the original angle had a measure of 52° t is the measure of each new angle? Enter the number only. help asap
Answers
The measure of each new angle is 26°
simplify m+{n-[p+q-(m-n+p-q)]}
Answers
Answer:
m+n-p-q+m-n+p-q = 2m-2q
what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?
someone help ASAP
Answers
Answer:
92 1/15
Step-by-step explanation:
74=19=92
3/5 and 2/5
3times 5 is 15
denominator is 15
9-10=1
92 1/15
Which expression is equivalent to (f9)(5)?
Answers
Answer:
i think it would be fx9x5
Step-by-step explanation:
sorry if its not write
Please answer this i have 3 minutes left before its due
Answers
Answer:
Step-by-step explanation:
Y=-1/7x-30/7
This is due today and I don’t really get it so I need some help!
Answers
I'm not sure if you dont know maybe put C
Can you guys help me with this, it's due today
Answers
Answer:
i think its D
Step-by-step explanation:
At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
Answers
Answer:24 dogs
Step-by-step explanation:8x3
Can you guys help with this one?
Answers
The length of PR would be 14. This is because since you’re doubling the size of the sides, the new length will be 7x2.
Hope this helps :)
Find the slope of the line through the points (-1,3), and (2,-6)
(PLEASE HELP)
Answers
Answer: slope = -3
Step-by-step explanation:
m = y2 - y1 / x2- x1
m = -6 -3 / 2+1
m = -9 / 3
m = -3
what is the measure abe
Answers
Answer:
angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees
Step-by-step explanation:
Why do most student loans involve a co-signer?
a.
Most students won’t be able to afford paying for their loans, and leave that responsibility to their co-signers.
b.
Co-signers were most likely college students themselves and understand what it is like to be a college student.
c.
Most students aren’t responsible enough to know much about any type of loans, so a co-signer is there to make sure everything is secure.
d.
Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
Answers
The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
What is loan?A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.
Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.
Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
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The number f of miles a helicopter is from its destination x minutes after takeoff is given by f(x) 60 - 1.5x.
Answers
a student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $53. How many of each type of bill does he have
Answers
Answer:
$1 bills = x and $5 bills = y
x+y = 17 - that expresses the number of bills.
1x + 5y = 53.
Solve the first for x in terms of y and substitute that into the second.
x = 17 - y
17 - y + 5y =53
17 +4y = 53
4y = 36
y = 9
Substitute that back into the first equation: x + 9 = 17 and then x = 8
The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?
Group of answer choices
A. s + h =40
18s +14h = 700
B. 18s +14h =40
s + h =700
C. 40s + h +700
18s + 14h = 700
D. No answer text provided.
Answers
Answer:
A. s + h = 40 18s + 14h = 700Step-by-step explanation:
club sold 40 scarves and hats so the sum of scarves and hats is 40
s + h = 40 - one of equations
They charged $18 for each scarf and $14 for each hat so:
18×s - money made from scarves
14×h - money made from hats
18s + 14h - sum of money made from scarves and hats so:
18s + 14h = 700 - second of equatinons
The system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold.
The system of equations is as follows,
s + h =40
18s +14h = 700
Thus,the system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
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HELP ASAP WILL GIVE BRAINLIEST Find x. Give reasons to justify your solution.
Lines AB and CD are straight lines.
Link to image https://homework.russianschool.com/resource?key=17610ip7xq552
Answers
Answer:
385
Step-by-step explanation:
Answer:
The lines are straight the lines are at a 385 angle
Step-by-step explanation:
The reason they are straight lines is they are at a perfectly straight not curving to the side or bending like E and F how they have a 45 dgree angle I assume.
I not really sure if its right but umm if I am I hope this helps you out.
Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?
Answers
Complete the following to check your understanding.
Question 1
What is the "friendliest" fraction to use when estimating 52% of 120?
Answers
2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.
Answers
Answer:
d. grams per cubic centimeter
Step-by-step explanation:
The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.
Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?
Answers
Answer:
a) $165
b) $4180
Step-by-step explanation:
15×11=165
4,345-165=4180
a) The sum of these monthly payments is $165
b) Chris pay in the last month of this plan is $4180
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?
For example
Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Price for furniture set = $4,345
a) The sum of these monthly payments
=15×11
=$165
b) Chris pay in the last month of this plan
=4,345-165
= $4180
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Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more
than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
a
28 + 65H <250
28 + 65H > 250
© 65 +28H < 250
D
65 +28H 250
Answers
65+28H≤250
Step-by-step explanation:
Anand can afford at most 6 hours.
Step-by-step explanation:
4+7a=12+8a
with steps pls
Answers
Answer:a=-8
Step-by-step explanation:
4+7a=12+8a
So first you want to have the variables on the same side
4+7a-7a=12+8a-7a
This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes
4=12+a
Now there are two ways of doing this.
1. 4-12=12-12+a
You moved the 12 to the left side so you have the same variable on one side
4-12=-8
So then a=-8
Or
2. 4-4=12-4+a
0=8+a
then you would have to subtract 8 to keep 'a' by itself
-8=8-8+a
simplify it
-8=a
same thing
step 1: subtract 7a from both sides.
now you have 4=12+a
step 2. subtract 12 from both sides.
now you have -8=a
the answer is a=-8
leave a thanks or mark brainliest if this helped out please.