Answers
Answer:
true
Step-by-step explanation:
Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
In the two triangles, ΔACD and ΔBCD,
DC is the common side
∠ADC = ∠BDC = 90°
∠ACD = ∠BCD (Given)
Thus, the two triangles are congruent and the sides AD≅DB.
Hence, the statement is true.
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Related Questions
.
+ 1687 – 1575 - 287 = 4808
Answers
Answer:
Step-by-step explain
Google is key
Plot the image of point A under a dilation about point P with a scale factor of 3.
Answers
Answer:
THere is no image do da
Step-by-step explanation:
10xy12
Which expression is equivalent to
-5x2, 6 ? Assume
-50x8,18
-2x8,18
-2x12,72
5x8,18
Answers
Answer:
Option B.)
[tex] - {2x}^{8} {y}^{18} [/tex]
The equivalent expression of 2(x² – 1) + 3x(x – 4) is 5x² - 12x - 2
Here, we have,
We know that,
The equivalent expression of the expression can be found as follows;
2(x² – 1) + 3x(x – 4)
open the brackets
2x² - 2 + 3x² - 12x
Therefore, let's combine like terms
2x² + 3x² - 12x - 2
Let's do the arithmetic for like terms
2x² + 3x² - 12x - 2
5x² - 12x - 2
Therefore, the equivalent expression of 2(x² – 1) + 3x(x – 4) is
5x² - 12x - 2.
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find the area of a circle with the following dimension, diameter=20cm
Answers
Answer:
314.16cm²
Step-by-step explanation:
9/5 ÷ 2/5 Show your work.
Answers
Answer:
9.4
Step-by-step explanation:
9/5 / 2/5=9.4
1 4/5 / 2/5 = 9.4
Answer: 9/2
Step-by-step explanation:
9/5 divided by 2/5
you keep 9/5 you change the divide sing into a times then you flip 2/5 to 5/2 then you times them and cross cancel.
hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x
Answers
Easy buddy....
[tex]2 x + 68 = 180[/tex]
Subtract the sides of the equation minus 68
[tex]2x = 180 - 68[/tex]
[tex]2x = 112[/tex]
Divided the sides of the equation by 2
[tex]x = \frac{112}{2} = 56 \\ [/tex]
So ;
[tex]x = 56 \: degreees[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Evaluate x^2 y for x = -5 and y = 3.
-75
-15
75
Answers
[tex]x = - 5[/tex]
[tex]y = 3[/tex]
_________________________________
[tex] {x}^{2} \times y = ({ - 5})^{2} \times 3 = 25 \times 3 = 75 \\ [/tex]
Done♥️♥️♥️♥️♥️
find the area of parallelogram .
I need to know how to solve this. can someone please explain it I'm trying to help my son out. this one is tricky it has a fraction.
Answers
Answer:
894
Step-by-step explanation:
You'll just multiply 37 1/4 x 24... remember that the 32 mi doesn't count because it is not perpendicular to the base, if it's not perpendicular to the base than you will not multiply with it.
I learned this and also got this question!
Good Luck with the test!
Answer:
cvfbb
Step-by-step explanation:
Which of these statements is correct?
A
A solution to the equation x2=4 is x=16.
B
A solution to the equation x2=64 is x=4.
C
A solution to the equation x3=8 is x=24.
D
A solution to the equation x3=125 is x=5.
Answers
my opinion answer c solution to the equation X3 equals to 8 is X = 24
Answer:
D
Step-by-step explanation:
it is correct cause x^3 power is 125 and x is 5
Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
Answers
Answer and Step-by-step explanation:
SOLUTION:
Given function:
h (x, y, z) = ln (x2 + y2 – 1) + y +6z, p0(1, 1, 0)
Derivatives of the function:
∂h / ∂x = (1 / x2 + y2 -1). (2x)
= 2x / x2 + y2 -1
∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)
= (2y / x2 + y2 -1) + 1
∂h / ∂z = 6
Now compute the partial derivatives:
∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1
= 2
∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1
= 3
∂h (1, 1, 0) / ∂z = 6
Δh (1,1,0) = ( 2, 3, 6)
The definition of gradient is:
Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)
Put the coordinate values to arrive at solution:
Umax = Δh (1,1,0) / | Δh (1,1,0) |
= (2, 3, 6) / |2, 3, 6|
= (2, 3, 6) / √(22+33+62)
= (2, 3, 6) / √49
= (2, 3, 6) / 7
= (2/7 , 3/7, 6/7)
Umin = - U max = ( -2/7, -3/7, -6/7)
Compute direction by finding unit vector:
Du h max = Δh (1,1,0) . u max
= (2, 3, 6) . (2/7, 3/7, 6/7)
= 2(2/7) + 3(3/7) + 6(6/7)
= 4/7 + 9/7 +36/ 7
= 49 / 7
= 7
Du h min = -Du h max
= -7
Sara ate 314 of a cup of grapes at breakfast and 213 of a cup of fruit salad a
lunch. Later she ate 314 of a cup of orange slices. Did Sara eat more than 2 cups
of fruit in total? *
yes
no
Answers
Answer:
yes because when you add the fractions together you get 8 5/6
audrianna gives a walking tour of a popular tourist city to one person for To increase her business, she would lower the price by $2 per person for each additional person. Write the cost per person c as a function of the number of people n on the tour. How much does she make for a tour with people?
Answers
The first four multiples of 5 are
Answers
Answer:
5, 10, 15 , 20
Step-by-step explanation:
can someone please help me
Answers
Answer:
the triangle is 10 the rest are 3
Solve |4x|+6=22 nester any fractions as decimals rounded to the nearest hundredths
Answers
According to all known laws
of aviation,
there is no way a bee
should be able to fly.
Its wings are too small to get
its fat little body off the ground.
The bee, of course, flies anyway
because bees don't care
what humans think is impossible.
Yellow, black. Yellow, black.
Yellow, black. Yellow, black.
Ooh, black and yellow!
Let's shake it up a little.
I WILL GIVE BRAINLIEST!!!
Answers
Answer:
it should be C
Step-by-step explanation:
SHOW WORK ILL MARK BRAINLIST !!!!
Answers
Answer:
8x-16
Step-by-step explanation:
2 + 3x-9 + 1 -10 +5x
-16 + 8x so 8x-16 is your answer
On a certain day, the temperature in Seattle was -1ºC and the temperature in Houston was 18ºC. How many degrees lower was the temperature in Seattle?
Answers
Answer:
19.C
Step-by-step explanation:
You must subtract -1 -18.C then you would get your answer, 19.C
You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answers
Answer:
$0.90/pound
Step-by-step explanation:
4.5$ ÷ 5 pounds = $0.90 / pound
What is the value of 6(82)? Use place value and the distributive property. 6(82) = 6(80 + 2) = ? 432 482 492 552
Answers
Answer:
492
Step-by-step explanation:
6x82
Answer:
the answer is 492 the person above me is correct!!
Step-by-step explanation:
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable with mean 109 and standard deviation 11. His profit on each bar sold is $0.12, and it costs him $10 per week to maintain the machine and rent the space for it. What are the mean and standard deviation for Y= the profit he earns from this machine in a randomly selected week?
Answers
Answer:
10
Step-by-step explanation:
Find the equivalent number
Answers
Answer:
2
Step-by-step explanation:
you make 3⁴ into 12 and 3² into 6 which makes it 12/6 & 6 times 2 is 12 so it would be 2
Grayson wrote 1.47 divided by 7 = 2.1.
Why is his thinking incorrect?
Answers
Answer: he needs to put the decimal in front of the 2 so it can be 0.21
Step-by-step explanation:
Answer:
he has to put the decimal point in front of the 2
hope this helps
Help quick ........ ...
Answers
Answer:
X= 1/5
Step-by-step explanation:
The short answer please
Answers
Answer:
4) 1
5) 13/0, ND
6) -4
7) 5/3
8) 0
9) -1/7
all ans r correct....
pls vote n rate if u found it useful ....
P=$4130,r=?,t=155 days, I=$115.58
Answers
Answer:
r = 6.5902%
Step-by-step explanation:
I = Prt
since the time is in days, it needs to be converted to years.
t = 155/365 = 0.424658
115.58 = (4130) r (0.424658)
115.58 = 1753.8045 r
115.58/1753.8054 = r
0.065902 = r
then, converting r decimal to a percentage
r = 0.065902 x 100 = 6.5902 %
Find g (a + 1 ), if g(x)=5x-3
Answers
Answer:
g(a+1)=5a+2
Step-by-step explanation:
so (a+1) is the value of x
you can write it like this:
x=a+1
using substitution, we can swap out all 'x's for 'a+1's. like so;
g(a+1)=5(a+1)-3 -- given
=5a+5-3 -- distribute
=5a+2 -- simplify!
Hope i helped! have a great day! please mark brainliest!!
One of the main purposes of physical geography is to:
A. compare and contrast cultures from different regions,
B. identify patterns in the ways religions spread around the world.
C. allow governments to plan for future population growth.
D. help people understand how nature affects their communities,
Answers
Answer:
Hi! I did this exact question on A P E X and got it right! The answer to your question is D. Help people understand how nature affects their communities!
Step-by-step explanation:
I hope this helps and I hope you guys have a great day! :3
Proof:
Which types of parent function have the end behavior f(x) - infinity as x - infinity
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Answers
Answer:
B. a parent odd-degree power function
and
D. a parent odd-degree root function
The parent function is simply the base function of a function family.
The true statements are:
B. a parent odd-degree power function D. a parent odd-degree root function
The end behavior is given as:
[tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex]
The above means that:
As x approaches infinity, the function also approaches infinity
From the list of given options, the functions with these end behaviors are:
(b) and (d)
Hence, the functions with the end behavior [tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex] are:
A odd-degree power function and a odd-degree root function
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Celia writes the addition problem shown.she says she can tell which sum will be greater without adding.how does she know?
Answers
The sum of 5157 + 519 will be greater because she knows that 519 > 364.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
Let's say two sum
x + y and x + z
If we want to calculate which is bigger then we need to look to y and z since x is common in both.
If y > z then x + y will be bigger and if z > y then x + z will be bigger.
Given the sum,
8157 + 364 and 8157 + 519
Now since 519 > 364 so (8157 + 519 ) > (8157 + 364)
Hence "The sum of 5157 + 519 will be greater because she knows that 519 > 364".
For more information about summation,
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The given question doesn't have a numeric value, The numeric values are
8157 + 364 and 8157 + 519
