Answer:
The triangles are congruent
Step-by-step explanation:
Given
[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]
Required
Determine if PQR = XYZ
To do this, we make use of distance formula.
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PQ:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]
So:
[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]
[tex]PQ = \sqrt{64+121}[/tex]
[tex]PQ = \sqrt{185}[/tex]
For XY:
[tex](x_1,y_1) = (-2,-1)[/tex]
[tex](x_2,y_2) = (9,7)[/tex]
So:
[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]
[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]
[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]
[tex]XY = \sqrt{121+64}[/tex]
[tex]XY = \sqrt{185}[/tex]
For QR:
[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]
[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]
[tex]QR = \sqrt{(3)^2 + 25}[/tex]
[tex]QR = \sqrt{9 + 25}[/tex]
[tex]QR = \sqrt{34}[/tex]
For YZ:
[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]
[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]
[tex]YZ = \sqrt{36+25}[/tex]
[tex]YZ = \sqrt{61}[/tex]
For PR:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]
[tex]PR = \sqrt{25+36}[/tex]
[tex]PR = \sqrt{61}[/tex]
For XZ:
[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]
[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]
[tex]XZ = \sqrt{5^2+3^2}[/tex]
[tex]XZ = \sqrt{34}[/tex]
From the calculations above:
[tex]PQ = XY = \sqrt{185[/tex]
[tex]QR = XZ = \sqrt{34[/tex]
[tex]PR = YZ = \sqrt{61[/tex]
Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)
Brainliest Question Of The Day:
Chen is making some bread, his brother, sister, little brother ate some bread. they ate 15 bread altogether. there was 7 loafs left. how many bread did Chen made?
Hint: 1 loaf has 12 pieces of bread
Correct answer for brainliest:)
Answer:
9?
Step-by-step explanation:
They ate 15 bread..
so if 1 loaf = 12 pc of bread,
they ate 1 loaf and 3 peace’s of another loaf.
their was still 7loafs left so he made
9 loafs if their was 7 whole lofs left, becasue they cut them into peace’s of bread?
12x-20=n(3x-5) what does n equal
Evaluate 1/3 to the power of 3
If two parents, one with brown eyes (a dominant trait) and the other with blue eyes (the recessive trait) produce one twin boy with blue eyes, what is the probability that a fraternal twin will transmit the blue eye allele to his or her offspring
Answer:
50 percent
Step-by-step explanation:
It is given that one of the parent with a dominant trait have brown eyes and the other parent with a recessive trait has blue eyes. They produce a twin boy with eyes that is blue in color. So the probability of the fraternal twin to transmit his allele of blue eye to his or her offspring is 50 percent.
And also the probability of the offspring to pass the allele on to his or her offspring is 50 %.
The product rule is used : 0.5 x 0.5 = 0.25 or 25%.
Solve the following equation algebraically: 5x2 = 60
a. x~ +3 46
b. x~3.46
c. x = 12
d. X = +12
Answer:
x = 3.46
Step-by-step explanation:
In this question, you have to solve the equation.
Solve:
5x² = 60
Divide both sides by 5.
x² = 12
In order to eliminate the exponent, you would square root both sides.
√x² = √12
x = √12
√12 = 3.4641..
x = 3.46
Your final answer would be x = 3.46
PLEASE help me. thank you
Answer:
Each paper weight is half a pound
Step-by-step explanation:
NEED HELP!!! I’ll report if your putting random answers down
Answer:
First blank: 8
Second Blank: 16
Third Blank: 56
Step-by-step explanation: Hope I helped
if there where 10 apples and my frend took 6 how many do i have
Answer:
10-6=4
if your friend took 6 apples out of the 10 you have you would have 4 left.
Step-by-step explanation:
About how many more jazz records were sold in April than in February?
Answer: DO you have a chart or something that i can actually help you with
Step-by-step explanation:
A clothing company produced 600 items of clothing. Of those, 15% were jackets, 25% were dresses, and 15% were shoes. How many of the items of clothing were NOT jackets, dresses, or shoes?
Answer:
270 items
Step-by-step explanation:
Answer:
270 of them were not jackets dresses or shoes
Step-by-step explanation:
Part C
Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now.
Answer:500(1.2)^x
Plato :)
Answer:
3
Step-by-step explanation:
PLATO
PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!
Answer:
line X
Step-by-step explanation:
Help pls I have no idea lol
Answer:
a=7b=9c=4
Step-by-step explanation:
Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5
Answer:
2
Step-by-step explanation:
I think dont come at me if I'm wrong
Answer:
1, 3, and 4 are true
Step-by-step explanation:
1. y=mx+b, m is the slope
2. Parallel lines have the same slope. -2 is not equal to 2
3. y=mx+b, b is the y-intercept
4. Perpendicular lines,
If you multiply the slopes and the result is -1.
-2 times 1/2
-1
What is the solution to the linear equation 2/3 x - 1/2 = 1/3 + 5/6x
Answer:
Simplify and solve and get x=-5
Step-by-step explanation:
2/3x - 1/2= 1/3 + 5/6x
2/3x - 5/6x= 1/3 + 1/2
-1/6x= 5/6
x=-5
Which is the correct answer? and how can you find the answer
Answer:
?
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
-10/2=-5-7=-12
-8/2=-4-7=-11
Braniliest?
Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.
P
(
x
)
=
[
n
!
x
!
(
n
−
x
)
!
]
p
x
q
n
−
x
A.
12.4%
B.
24.7%
C.
32.1%
D.
62.3%
Answer: Your answer would be C) 32.1%
Step-by-step explanation:
With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)
Have a wonderful rest of your day!
5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál
es el grosor de una hoja?
Responder:
0,01 cm
Explicación paso a paso:
Dado que :
Un paquete de 100 hojas iguales = 1cm de alto
Esto significa que el grosor del paquete es de 1 cm de alto.
Dado que las hojas son iguales, el grosor de una sola hoja será:
(Espesor del paquete completo / número de hojas en el paquete)
(1 cm / 100)
= 0,01 cm
Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.
Esto problema é solucionado por proporciones, se utilizando de una regla de três.Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?La regla de três es dada por:
100 hojas - 1 cm
1 hoja - x cm
Aplicando multiplicación cruzada:
[tex]100x = 1[/tex]
[tex]x = \frac{1}{100}[/tex]
[tex]x = 0.01[/tex]
Por eso, el grosor de una hoja es de 0.01 cm.
Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636
An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.
Answer:
15y+x
Step-by-step explanation:
Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.
On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).
To complete the pentagon, she can choose only from the points below.
(2, 0), (–2, 0), (–2, 4), (2, 4)
How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Answer:
D
Step-by-step explanation:
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Im pretty sure
Answer:
D
Step-by-step explanation:
if 50% is 100 what is 25%, 75%, and 100%
Step-by-step explanation:
25%=50
75%=150
100%=200
hope it helps
mark me brainliest
find the measusre of the angles.
Answer:
1, 3, 5 =117
2, 4, 6, 7= 63
Step-by-step explanation:
Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.
A cell phone is originally priced at $80. The online retailer gives a discount and the cell phone is now priced at $40. Enter the percentage discount for the cost of the cell phone.
Answer: The percent that the phone is on sale is 50%. The discount if 40 dollars.1/2 of the total will be taken off.
j - 2.5 = 93.9
What is the value of j?
Answer:
j = 96.4
Step-by-step explanation:
Step-by-step explanation:
j - 2.5 = 93.9
j=93.9+2.5
j=96.4
Which of the following best estimates the sum 1/2+1/3
a 0.4
b .5
c .8
D 1.1
Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?
Answer:
30 oranges
Step-by-step explanation:
2 apples : 5 oranges
12 apples : 30 oranges
because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.
Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class
Answer:
5
Step-by-step explanation:
he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class
Answer:
5
Step-by-step explanation:
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What is the range of the mapping?
Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?
Answer:
5.50x = 6,850
Step-by-step explanation:
Each ticket costs $5.50, and the total is $6,850.
Hope this helps! :)
If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost
Answer:
13 lbs
Step-by-step explanation:
to find 1/10 we divide by 10
This can be found by moving the decimal back by one
So 130/10=13
13 lbs were lost
The person lost 13 lbs of weight.
What is weight?
Weight is the measure of how heavy an object is. Weight is measured in standard customary units. The mass of an object is the amount of material it contains.
Given that, the person weight=130 lbs and he lost 1/10 of his weight.
We need to find how much weight was lost.
Now, weight lost [tex]=\frac{1}{10} \times 130=13[/tex] lbs.
Hence, the person lost 13 lbs of weight.
To learn more about the weight visit:
https://brainly.com/question/10069252.
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