C. They are similar by the definition of similarity in terms of a dilation.
The conclusion about the triangles is (c) they are similar by the definition of similarity in terms of a dilation.
The coordinates are given as:
[tex]M = (1,3)[/tex]
[tex]N = (4,9)[/tex]
[tex]O = (7,3)[/tex]
[tex]P =(3,0)[/tex]
[tex]Q = (4,2)[/tex]
[tex]R = (5,0)[/tex]
Start by calculating the lengths of the triangles using the following distance formula
[tex]d = \sqrt{(x_1-x_2)^2 + (y_1 -y_2)^2}[/tex]
So, we have:
[tex]MN = \sqrt{(1 -4)^2 + (3 - 9)^2}[/tex]
[tex]MN = \sqrt{45}[/tex]
[tex]MO = \sqrt{(1 -7)^2 + (3 - 3)^2}[/tex]
[tex]MO = 6[/tex]
[tex]NO = \sqrt{(4 -7)^2 + (9 - 3)^2}[/tex]
[tex]NO = \sqrt{45}[/tex]
[tex]PQ = \sqrt{(3 -4)^2 + (0 - 2)^2}[/tex]
[tex]PQ = \sqrt{5}[/tex]
[tex]PR = \sqrt{(3 -5)^2 + (0 - 0)^2}[/tex]
[tex]PR = 2[/tex]
[tex]QR = \sqrt{(4 -5)^2 + (2 - 0)^2}[/tex]
[tex]QR = \sqrt{5}[/tex]
So, we have:
[tex]MN = \sqrt{45}[/tex] [tex]PQ = \sqrt{5}[/tex]
[tex]MO = 6[/tex] [tex]PR = 2[/tex]
[tex]NO = \sqrt{45}[/tex] [tex]QR = \sqrt{5}[/tex]
The above means that the triangles are not congruent.
So, we determine if they are similar by dividing the corresponding sides
[tex]k = \frac{MN}{PQ} = \sqrt{\frac{45}{5}} = 3[/tex]
[tex]k = \frac{MO}{PR} = \frac{6}{2} = 3[/tex]
[tex]k = \frac{NO}{QR} = \sqrt{\frac{45}{5}} = 3[/tex]
The scale factor is 3.
Hence, the triangles are similar
Read more about similar triangles at:
https://brainly.com/question/14285697
Evaluate the expression.
| 31 | + | –5 |
Answer:
36
Step-by-step explanation:
The answer is the absolute value of 31 + (-5)
So it is 36
rename 1/4 and 1/8 using the least common denominator ( help pls )
Answer:
2/8 and 1/8
Step-by-step explanation:
A number with no variable attached is called a what
Answer:
constants
Step-by-step explanation:
That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
The term or number with no variable attached is called a constant as in the polynomial or expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
A number consists of the expression with no variable.
As we know, the expression is a combination of numbers, variables, and operators.
If we take an example of the polynomial.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Here a₀ is a constant because the term a₀ has no variables.
Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
What is 20/19?? absolute value
Answer:
1.05263
Step-by-step explanation:
hope it helps !
Karana's mom bought her two items using a credit card. The first item cost $235, and the second item cost $369. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
A.-$134
B.$134
C.$604
D.-$604
Answer:
C. 604
Step-by-step explanation:
Karana returned the items so you are adding the money back to the credit card which would be 604. 369 + 235 = 604
What is the Cost of Goods if manufacturing costs equal $50 each, packaging equals $1.00 each, delivery equals $2.00 each, and advertising equals $1,000?
Answer:
$1,053.00
Step-by-step explanation:
50 + 1.00 + 2.00 + 1,000 = 1,053.00
Need help with number 3 please
Answer:
I believe the answer is 7 for the rate of change
Step-by-step explanation:
what is 9 + 10? hi my name is andy. i have a dad who works on this website and i want to prank him
Answer:
19.
How do you want to prank him?
Step-by-step explanation:
Answer: 19
Step-by-step explanation: 9+10 is equal to 19. (I get the joke but I don't want to get flagged)
PLEASE HELP STATTTT
73 people need to ride the elevator to the top of a skyscraper. The elevator can hold 5 people at a time. How many people will be in the elevator on the last trip to the top?
Can someone help me with this ONE question? Write an equation.. and solve for X
Answer:
Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
x=17
Step-by-step explanation:
A 6 sided polygon is 720° degrees
so
720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
Simplify
720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)
Combine like terms:
720=26x+278
flip equation:
26x+278=720
subtract 278 from both sides
26x=442
divide by 26 both sides:
x=17
Hope this helps.
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
a) 15% of what is 12?
Answer: 80
Step-by-step explanation:
Given
15% of ? is 12
We multiply
Answer:
80
Step-by-step explanation:
15% × ? = 12
? =
12 ÷ 15% =
12 ÷ (15 ÷ 100) =
(100 × 12) ÷ 15 =
1,200 ÷ 15 =
80
Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p).
Answer:
3(4+n)
Step-by-step explanation:
Choose the equation of the graph shown below:
y = x - 11-3. y = Ix + 11-3
y = IX - 11 + 3
Answer:
A or number 1
Step-by-step explanation:
x-1 = -x
so we go this way <--
then we go down 3
so -3
y= lx-1l-3
I hope I'm correct!
The teacher has 5 cups or broth to share amoung 4 students. draw a model and explain your answer.
Answer:
1.25,but your teacher is prolly looking for a fraction so 1 1/4
Step-by-step explanation:
DO NOT PUT 20 THAT PERSON S WRONG
What are the solutions to the equations?
Answer:
x^2=399+1
x^2=400
x=√400
x=+/-20
A. x=20 and x=-20
Answer:
x = 20 and x = -20
Step-by-step explanation:
I am a math expert. 20^2 and -20^2 are both 400 - 1 = 399.
Everything else is 397 or a wayyy higher number
Trust me the answer is x = 20 and x = -20
If im right, give me brainliest
What is the value of the function at x = 22 Enter your answer in the box .please help.
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
what is equivalent to 9 x (78) will brainlist
What is the area in square inches?
Answer:
946 Sq Inches
Step-by-step explanation:
just cut it off to make two rectangles
28 * 7 = 196
30*25= 750
then add em up
750+196 = 946
Answer:
918 in²
Step-by-step explanation:
Those are just 2 recangles.
1. 30*25 = 750
2. 7*24 = 168
add 750+168= 918
Niall bought 234 inches of nylon cord for rock climbing. There are 36 inches in 1 yard. How many yards of cord did Niall buy?
Answer:
6.5 yards of cord were bought
Step-by-step explanation:
234/36=6.5
Can somebody please help me out with this ??
Answer:
Y=109 X=31
Step-by-step explanation:
Alright, so the angles that you have to find the values for make up 180 degrees. Since you have 71 degrees on the bottom, and according to a certain theorem I forgot about, that means that the angles you're solving for equal 109 degrees.
X= 31 because 4 x 31 = 124 and then 124 - 15 equals 109
Answer and Step-by-step explanation:
We are told that l and k are parallel (which is shown with the || symbol).
Line n therefore, is a transversal (a line that intersects two parallel lines).
We are now told to find y and x.
Since we know the lines are parallel, we can use the vertical angles theorem to say that y is equal to 4x - 15.
With angle 71, we can say that the angle that is to the left of (4x - 15) is also 71. When these two are added together, they equal 180. So let's do that.
71 + 4x - 15 = 180
Subtract 71, add 15, then divide by 4.
4x - 15 = 109
4x = 124
x = 31
31 is equal to x.
Now, we plug it into the equation so that it will equal to y.
4(31) - 15 = y
124 - 15 = y
y = 109
109 is equal to y.
We can verify this by using the supplementary angles theorem for y and 71, when 71 is above y. When y and 71 is added together, they add up to 180. So, 180 - 71 is equal to 109, which is y.
31 is equal to x.
109 is equal to y.
#teamtrees #WAP (Water And Plant) #SPEW (The Society for the Promotion of Elfish Welfare)
A square has a side that is 5 meters long. What is the diagonal length of the square?
Answer:
5 meters
Step-by-step explanation:
a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters
|-4y+2z|-7z z=-9 and y=2
Answer:
37 sorry if i calculated wrong
step-by-step explanation:
Last week, Leah worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours Leah worked on the weekdays to the total number of hours she worked?
Answer:
25:36
Step-by-step explanation:
the number of hours on weekdays which is 25, and the total hours she worked is 25+11 which is 36, so it is 25:36
Please help! (Not hard) I’m just slow
Answer: i think it is a
Step-by-step explanation:
Answer- the answer is C because x axis gos first therefore y=2
Find X for this shape
Answer:
x=58
Step-by-step explanation:
ok this is a 5 sided polygon
5 sided polygon has 540 degrees
540-90-120-108-100= the unkown angle
122
but look at the line exterior plus interior = 180 degrees
180=122+x
subtract 122 from both sides
x=58
Solve as a difference equation.
After caffeine is absorbed into the body, 1% is eliminated from the body each hour. Assume a person drinks an 8-oz cup of brewed coffee
containing 130 mg of caffeine, and the caffeine is absorbed immediately into the body. Find the difference equation for Yn, the amount of caffeine in
the body after n hours. Solve the difference equation. After how many hours will 65 mg (one-half the original amount) remain in the body? How
much caffeine will be in the body 24 hours after the person drank the coffee?
Solution :
Let y = amount of caffeine at a given time in body.
n = number of hours
So [tex]$\frac{dy}{dn}= - \ Y$[/tex]
[tex]$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn[/tex]
ln Y = -0.01 n + C
At n = 0, Y = 130 mg
ln 130 = -0.01 x 0 + C
C = ln 130
[tex]$ \ln \frac{Y}{130} =- 0.01 \ n$[/tex]
[tex]$Y = 130 \ e^{-0.01n}$[/tex]
When Y = 65
[tex]$65 = 130 \ e^{-0.01 n }$[/tex]
[tex]$\frac{65}{130}=e^{-0.01n}$[/tex]
[tex]$\ln \frac{1}{2} = -0.01 \ n$[/tex]
n = 69.315 hours
At n = 24 hours
[tex]$Y = 130 \ e^{-0.01 \times 24}$[/tex]
Y = 102.26 mg
100 points to the people who answer and you'll be reported if answer with something stupid
Y'all, what's another way to say "dramatic flare"
please and thank you:)
Answer:
another way to say dramatic flare is flamboyant which means to be loud and dramatic like saying the shirt with the parrots on it is very flamboyant
Step-by-step explanation: brainliest plz
A quiz consists of 920 true or false questions. If the student guesses on each question, what is the mean number of correct answers
Answer:
460
Step-by-step explanation:
This quiz is Said to consist of 920 questions. Each if these questions have 2 options of answering them only. Which is True or False.
True represents correct = 0.5
False represents wrong = 0.5
The probability of correct is = 0.5
With a sample size of 920
Mean = no
= 920x0.5
= 460
So the mean number of correct answer from this calculations I just did is equal to 460
4. Solve this problem:
3(6 - 8)2 + 8+2
8
16
28
PLEASE HELP FAST!!
BRAINLY!!
Answer:
The answer is 16 because
Step-by-step explanation:
3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2
= 3 * 4 + 8÷2
= 3 * 4 + 4
= 12 + 4
= 16