Answer:
Step-by-step explanation:
yes, both are congruent by SAS Postulate
<SQP=<SQR (common in both (construction))
QS=QS (common side in both angle)
QP=QR ( as given)
hence, QPS=QRS
by SAS postulate
By SAS postulate Δ QSP ≅ Δ QSR.
What is Congruence Rule?The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
When two angles and the included side of one triangle are equal to two angles and the included side of another triangle, two triangles are said to be congruent.
Given:
In Δ QSP and Δ QSR
<SQP=<SQR (common in both (construction))
QS=QS (common side in both angle)
QP=QR ( as given)
So, by SAS postulate Δ QSP ≅ Δ QSR.
Learn more about Congruence rule here:
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Determinar que Recipiente tiene mayor densidad; el recipiente A pesa 1.2 toneladas y tiene un volumen de 120 m³ mientras que el recipiente B pesa 2.4 toneladas y tiene un volumen de 240 m³. ¿Cuál recipiente tiene mayor densidad?
Answer:
Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.
Step-by-step explanation:
Recordamos que la densidad de un material uniforme ([tex]\rho[/tex]), medido en kilogramos por metro cúbico, está definido por:
[tex]\rho = \frac{m}{V}[/tex] (1)
Donde:
[tex]m[/tex] - Masa, medido en kilogramos.
[tex]V[/tex] - Volumen, medido en metros cúbicos.
Ahora calculamos la densidad de cada recipiente:
Recipiente A ([tex]m =1200\,kg[/tex], [tex]V = 120\,m^{3}[/tex])
[tex]\rho = \frac{1200\,kg}{120\,m^{3}}[/tex]
[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]
El recipiente A tiene una densidad de 10 kilogramos por metro cúbico.
Recipiente B ([tex]m = 2400\,kg[/tex], [tex]V = 240\,m^{3}[/tex])
[tex]\rho = \frac{2400\,kg}{240\,m^{3}}[/tex]
[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]
El recipiente B tiene una densidad de 10 kilogramos por metro cúbico.
Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.
By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?
Answer:
18miles per day
Step-by-step explanation:
Just do 108/6
can somebody help me
If |z| = 1, where z = x + yi ... find the real part of the number 1 / z-1??
Answer:
Step-by-step exmark brain list answers
mark
get 3 point
freee
planation:
Plz I need help before Friday November 13!!
I’ll mark brainiest for the first answer correct.
9514 1404 393
Answer:
(a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons
(b) 1650-20m = 570+20m; m = 27 . . . minutes
Step-by-step explanation:
(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...
(20 gal/min)(5 min) = 100 gal
That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons
and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.
__
(b) The quantity in tower 1 is ...
t1 = 1650 -20m
and the quantity in tower 2 is ...
t2 = 570 +20m
These will be equal when ...
t1 = t2
1650 -20m = 570 +20m . . . . . equation for finding m
1080 = 40m . . . . . . . add 20m-570
27 = m . . . . . . . divide by 40
help please !!!!!!! if you can
Hello!
The answer is 128,075!
Hopefully this helps! :3
Which number is greater 35, 6.1
when divided by 6 i am 200 when divided by 4 i am 200
Answer:
umm
Step-by-step explanation:
what? XD wdym
confusion...
Math question help, it’s in the photo. Thank you!
Instructions: Write and solve an equation to find the measure or angle x.
Answer:
x = 30
Step-by-step explanation:
Okay the triangle should add up to 180.
The square represents a right angle = 90°
So just do this
60° + 90° + x = 180 (collect like terms)
150° + x = 180 (subtract 150 on both sides)
x = 30
Hope this helps ya!
Answer:
x = 30
Step-by-step explanation:
the trinagle has an angle of 180.
and the trainage has a 90° next to the 60
So
60° + 90° + x = 180 (there are term)
150° + x = 180
subtract 150 on both sides
150 - 150 180-150 = x = 30
The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives
20.5 point, 5 years; the standard deviation is
3.9
3.93, point, 9 years.
Use the empirical rule
(
68
−
95
−
99.7
%
)
(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living less than
32.2
32.232, point, 2 years.
Answer:
3
Step-by-step explanation:
There are 144 students in the school this year. One-quarter of the students have blue
eyes. One-sixth of the students have green/hazel eyes. Seven-twelfths of the students
have brown eyes. How many students have each of the three colours? SHOW ALL
OF YOUR WORK!
Answer:
Blue eyes = 36
green eyes= 24
brown eyes = 84
Step-by-step explanation:
144 divided by 4 is 36
144 divided by 6 is 24
144 divided by 12 is 12 and then multiplied by 7 is 84
hope this helps
x2 + 6x + 8 - (2x + 8)
Answer:
it simplify is [tex]x[/tex]²+4[tex]x[/tex]
Step-by-step explanation:
choose the equation that represents the graph below
Answer:
The third one
Step-by-step explanation:
The slope is negative which means the right side goes down and the y-intercept is 6 which means the line intercepts the point 6 on the y axis.
a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)
Answer:
A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
B. [tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Step-by-step explanation:
a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.
Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:
[tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
La factura de celular del mes pasado ascendió a un total de $239 por un consumo de 269 minutos de llamada, mientras que la de este mes ascendió a $175 por un consumo de 141 minutos. El importe es la suma de una tasa fija (renta de línea) más un precio fijo por minuto. Calcular la tasa y el precio por minuto
Answer:
Costo fijo= $104.5
Costo unitario= $0.5 por minuto
Step-by-step explanation:
Mes pasado:
$239 por 269 minutos
Mes corriente:
$175 por 141 minutos
Primero debemos calcular el cost por minuto de llamada:
Costo unitario= (costo total más alto - costo total más bajo) / (cantidad de minutos más alto - cantidad de minutos más bajo)
Costo unitario= (239 - 175) / (269 - 141)
Costo unitario= $0.5 por minuto
Ahora, el costo fijo:
Costo fijo= costo total más alto - (costo unitario*cantidad de minutos más alto)
Costo fijo= 239 - (0.5*269)
Costo fijo= $104.5
Costo fijo= costo total más bajo - (costo unitario*cantidad de minutos más bajo)
Costo fijo= 175 - (0.5*141)
Costo fijo= $104.5
Which equation could represent Relationship A?
Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
y = 18.3x
y = 18x
y = 18.1x
y = 18.6x
A test has 20 questions and is worth 100 points. The unit rate is Points per question?
Answer:
15
Step-by-step explanation:
Answer:
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solve of system of equation.
9x + 2y = -38
9x+10y=26.
Answer:
(-6 , 8 )
Hope this helps!
(7x7) (10^-6 x 10^-6) expressed in scientific notation WITH EXPLANATION
Answer:
Step-by-step explanation:
In exponent multiplication, if base is same, then add the powers
[tex](7 * 7) * (10^{-6}*10^{-6})= 49 * {10^{(-6) + (-6)}\\\\=( 4.9*10^{1} )* 10^{-12}\\\\= 4.9 * 10^{1 + (-12)}\\\\= 4.9 * 10^{-11}[/tex]
anyone know how to get rid of a chromebook firewall cuz im at my home and i just want to download some stuff
Answer:
you cant
Step-by-step explanation:
Answer:
...Oh lord... uh... well, use a website unblocker? Look up how to take it down? I don't have this issue because I am a hacker, but-- XD
Step-by-step explanation:
YEAH. Anyways.
A box contains 421 books. If your teacher orders 19 boxes of books, about how many books will arrive? Use estimation to find your answer.
Arrange each set of real numbers in increasing order.
please help me
Which of the equations matches the line shown in the diagram?
A) y=-5/3x B) y=-5/3x-1 C) y=5/3x+1 D) y=5/3x-1/3
the correct answer it's equation D
Answer:
This is really easy: Its D) y=5/3x-1/3
Step-by-step explanation:
If 3x - 6 = 21, what is the value of x - 2 ?
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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algebra nation geometry
Answer:
What?
Step-by-step explanation:
4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2
Write the equation of the line through (2,3) and (-1,-12) in slope
intercept form.
will give brainliest
Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7
Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper
Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
Write a summary can Smartphones improve student lives? why or why not ( in your own words )
Answer:
Smartphones can imrove student lives by giving students the ability to contact their teachers to ask questions or comment on a specific work. they can also allow the student to look up answers and learn from what others think. Smartphones can also add distractions in class and allow an easy way to cheat on a test or a quiz. Overall Smartphones can be beneficial and harmful to a students life.
Step-by-step explanation:
What is the inverse of the function f(x) = 2x + 1?
Answer:
y = x/2 -1/2
Step-by-step explanation:
let’s write this equation as
y = 2x + 1
to find the inverse let’s switch x and y
x = 2y + 1
and solve for y
x -1 = 2y
y = x/2 -1/2
so the inverse is
y = x/2 -1/2