AABC has vertices at A(12, 8), B(4,8), and C(4, 14).
AXYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14).
AMNO has vertices at M(4. 16), N(4.8), and O(-2.8).
AJKL has vertices at J(14, -2), K(12, 2), and L(20, 4).
are congruent. A
is a single rigid transformation that maps the two congruent triangles.
Triangle ABC and triangle XYZ
Triangle ABC and triangle MNO
Triangle JKL and triangle ABC
Triangle MNO and triangle XYZ
Answers
Answer:
Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
length of AB = √[(12-4)² + (8-8)²] = 8length of AC = √[(12-4)² + (8-14)²] = 10length of CB = √[(4-4)² + (8-14)²] = 6ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
length of MN = √[(4-4)² + (16-8)²] = 8 length of MO = √[(4+2)² + (16-8)²] = 10length of NO = √[(4+2)² + (8-8)²] = 6Therefore:
AB ≅ MNAC ≅ MOCB ≅ NOand ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
Related Questions
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.2 liters b.3 liters c.1 liter d.4 liters
Answers
Answer:
Option B. 3 liters
Step-by-step explanation:
First, we shall determine the total volume of soup that Mei have. This is illustrated below:
Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.
Next, we shall convert 2400mL to litres (L). This can be obtain as follow:
1000mL = 1L
Therefore, 2400mL = 2400/1000 = 2.4L
Mei have 2.4L of soup.
Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.
Which of the following is equivalent to (5) Superscript seven-thirds? 5–4 54 RootIndex 7 StartRoot 5 cubed EndRoot RootIndex 3 StartRoot 5 Superscript 7 Baseline EndRoot
Answers
Answer:
[tex]\sqrt[3]{5^7}[/tex]
Step-by-step explanation:
According to the rules of roots and exponents, ...
[tex]\displaystyle \boxed{5^{7/3}=\sqrt[3]{5^7}}[/tex]
__
The denominator of the fractional exponent is the index of the root. The numerator of the fractional exponent can be applied inside or outside the root:
a^(b/c) = (a^(1/c))^b = (a^b)^(1/c)
The answer will be 3 StartRoot 5 Superscript 7 Baseline EndRoot.
3 StarRootThe 3 StarRoot of a number is the factor that we multiply by itself three times to get that number
How to solve this problem?The steps are as follow:
5 Superscript seven-thirds can be represented as [tex]5^{\frac{7}{3} }[/tex]It can also be represent as [tex][5^{7}]^\frac{1}{3} }[/tex]Now as per rule of mathematics:[tex][5^{7}]^\frac{1}{3} } = \sqrt[3]{5^{7} }[/tex]
So, 5 Superscript seven-thirds equivalents to 3 StartRoot 5 Superscript 7 Baseline EndRoot
Learn more about 3 StarRoot here:
https://brainly.com/question/14880572
#SPJ2
All three sides and all three angles are equal in an equilateral triangle. Could this figure
also be a parallelogram?
never
always
sometimes
Answers
Answer:
never
Step-by-step explanation:
Any triangle can never be a parallelogram because it only has three sides.
quadrilateral with parallel sides is a parallelogram.
Which sequence of transformations could be used to map triangle MNO onto M"N"O"? T(–2, 4) ry-axis ry-axisT(–2, 4) T(2, –4) T(2, –4)
Answers
Answer:
(A)T(–2, 4) ry-axis
Step-by-step explanation:
The graph showing triangles MNO and M"N"O" is attached below.
From the graph, the coordinates are:
M(5,-4),N(3,-2) and O(1,-3)M"(-3,0), N"(-1,2) and O"(1,1)When we transform triangle MNO by (-2,4), we obtain:
M'(3,0), N'(1,2) and O'(-1,1)
Next, we reflect M'N'O' the y-axis.
Note: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.
Therefore:
Reflection of M'N'O' accross the y-axis gives: M"(-3,0), N"(-1,2) and O"(1,1).Therefore, the sequence of transformations could be used to map triangle MNO onto M"N"O" is T(–2, 4) ry-axis.
The correct option is A.
Answer:
its B
Step-by-step explanation:
Write the set { 1, 3, 7, 15, 31, 63 } in set builder form
Answers
Answer:
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Step-by-step explanation:
Mathematically, we can rewrite each term in the set as follows;
1 = 2^1 - 1
3 = 2^2 -1
7 = 2^3 -1
15 = 2^4-1
31 = 2^5-1
63 = 2^6 -1
so we can conclude that the nth term is 2^n -1
So writing this in set builder notation, we have;
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
convert 203base five to base ten.
Answers
Answer:
53
Step-by-step explanation:
Step1: Converting 203 to base 10.
2*52=50
0*51=0
3*50=3
Adding all to get Answer=5310
Step2: Converting 5310 to 10
The equation calculation formula for 5310 number to 10 is like this below.
10|53
10|5|3
10|5|5
Answer:5310
Can someone help me please?
Answers
Answer:
b = -1
Step-by-step explanation:
5 ^ ( 3b-1) = 5 ^ ( b-3)
since the bases are the same, the exponents are the same
3b-1 = b-3
Subtract b from each side
3b-1-b = b-3-b
2b -1 = -3
Add 1 to each side3
2b-1+1 = -3+1
2b = -2
Divide by 2
2b/2 = -2/2
b =-1
Answer:
b = -1.
Step-by-step explanation:
Since the bases are the same (they are both 5), you can set 3b - 1 equal to b - 3.
3b - 1 = b - 3
3b - b = -3 + 1
2b = -2
b = -1
To make sure you are correct...
5^(3 * -1 - 1) = 5^(-1 - 3)
5^(-3 - 1) = 5^(-4)
5^(-4) = 5^(-4)
Since it matches up, you know that b = -1.
Hope this helps!
One morning, Marcia works from 08 20 to 11 15.
Find how long slie works for.
Give your answer in hours and minutes.
Answers
Answer:
2:55. That's Two hours and 55 minutes.
Step-by-step explanation: From 8:20 to 11:20 would be three hours. But the actual time is five minutes less. There are 60 minutes in one hour. So change one hour to 60 minutes and subtract 5 minutes.
2:60 - :05 = 2:55
Answer:
2 hours and 55 minutes
Step-by-step explanation:
Take 11:15 and subtract 8:20
11 : 15
-8:20
------------
We need to borrow from the hours
11 becomes 10 and 1 hour = 60 minutes so add 60 to the 15
10 :75
-8:20
------------
2: 55
This is 2 hours and 55 minutes
Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below. Alice: 14 minus x He had $14, then he lost (subtraction) an unknown amount (x). Bobby: x minus 14 He had an unknown amount of money (x) and he lost (subtraction) $14. Camila: 14 greater-than x He had $14 more than (>) the unknown amount (x) he lost. Daniel: 14 less-than x He had $14 less than (<) the unknown amount (x) he lost. Which student’s solution is correct? Alice Bobby Camila Daniel
Answers
Answer:
Alice
Step-by-step explanation:
First we need to translate the statement and then pick from the ones given.'
So, Remy lost some of the $14 his mom gave him.
Key word Lost Some
He had 14 and lost some (x)
Lost = Minus ( - )
14 - x
Alice: 14 - x. He had $14, then he lost (subtraction) an unknown amount (x).
This answer matches our answer, therefore;
Alice: 14-x. Then he lost (subtraction) an unknown amount (x).
Answer:
A)14-x which is for Alice
Step-by-step explanation:
it says remy lost of the $14 his mother gave him it means his mom gave him $14 but he misplaced some of it ,so the expression will be 14-x
How much of a radioactive kind of francium will be left after 10 minutes if the half-life is 5 minutes and you start with 96 grams?
Answers
Answer:
24
Step-by-step explanation:
96/2=48/2=24
Solve the inequality. 4(p – 4) > 12 A. p 3 C. p > 16 D. p > 7 it would be nice if you can show me how you did step by step
Answers
Answer:
D
Step-by-step explanation:
Given
4(p - 4) > 12 ( divide both sides by 4 )
p - 4 > 3 ( add 4 to both sides )
p > 7 → D
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answers
Answer:
Step-by-step explanation:
Arbitrarily choose a couple of x value using the given function, and write your results in a x-y table as (x, y). Plot these points. Connect them with a smooth curve. if you have any doubts about the shape of the grqph, pick more x values in the neighborhood and plot them also.
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thickness of the filament?
Answers
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
[tex]=0.01 \pm 0.0002 $ Inches[/tex]
We can then calculate the least allowable thickness of the filament as:
[tex]=0.01 - 0.0002 \\=0.00998$ Inches[/tex]
The least allowable thickness of the filament is 0.00998 Inches.
WILL MAKE BRAINLYEST PLEASE SOME ONE ANSWER MY QUESTION PLEASETo write the best estimate for the following product in scientific notation, what should be the power of ten?
Answers
Answer:
2.9403x10^15
Step-by-step explanation:
plsss mark as brainliestt :)
Answer:
2.9403x10^15
Explain:
doodidopdpop
Does 24,7 and 26 make a right triangle
Answers
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
Answer:
these points will not form a right-angled triangle
Step-by-step explanation:
By using pythagoras theorem
(26)²=(24)²+(7)²
676=576+49
676≠625 so these points will not form a right-angled triangle
i hope this will help you :)
40 thousandths= how many hundredths? I'll mark brainliest for whoever answers first :D
Answers
Answer:
Is it 0.04?
Step-by-step explanation:
Do tell me if I'm wrong please.
The value of each digit in a number is known as the place value. The number of hundredths that 40 thousandths will have is 4.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10A thousandth is the (1/1000)th part of something, while a hundredth is the (1/100)th part of something.
Let the number of hundredths be x. Therefore, the number of hundredths can be written as,
40(1/1000) = x(1/100)
0.04 = x/100
x = 4
Hence, the number of hundredths that 40 thousandths will have is 4.
Learn more about the Place Value:
https://brainly.com/question/27734142
#SPJ2
The point (1, 3) maps to (-1, 4). Which of the following rules would generate this transformation?
(х + 4, у – 2)
(х + 2, у – 1)
(X - 2, y + 1)
(x - 4, y + 2)
Answers
Answer:
(x-2,y+1)
Step-by-step explanation:
from point (1, 3) to (-1, 4).
x=1 to x=-1
x-2=-1
1-2=-1
from y=3 to y=4
y+1=4
3+1=4
Ramani has 3 times as many two -rupee coins as she has five- rupee coins . If she has in all a sum of Rs.77 , then how many coins of each denomination does she have ?
Answers
Answer:
21- two rupee coins
7- five rupee coins
Step-by-step explanation:
3x(2)=5x
6x=5x
6x+5x=77
11x=77
x= 7
thus 3x(2)means she has 21-2 rupee coins and 7-5rupee coins.
Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction.
g(f(x))
Answers
Answer:
4x2-7
Step-by-step explanation:
4(x2+2)-1=4x2+8-1=4x2=7
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x. 35° 48° 69° 78°.
Answers
Answer:
y = 73°
x = 35°
Step-by-step explanation:
The three angles 51° , 56° and y form a straight angle.
This means that:
51 + 56 + y = 180
107 + y = 180
y = 180 - 107
y = 73°
Answer: 35
Step-by-step explanation:
hi PLLSS HELP solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation? {–22, 14} {–14, 22} {–10, 2} {–2, 10}
Answers
Answer:
{ - 2, 10 }
Step-by-step explanation:
Given
x² - 8x = 20
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 20 + 16, that is
(x - 4)² = 36 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 4 to both sides )
x = 4 ± 6
Thus
x = 4 - 6 = - 2
x = 4 + 6 = 10
Answer:
d is it
Step-by-step explanation:
Determine the number of solutions for the equation shown below x= x - 9
Answers
Answer:
None (0)
Step-by-step explanation:
x = x - 9
-x -x
0 = -9
No solution
An automobile salesman receives a monthly bonus cheque if his commission income is at least $5,800.00 in a given month. There are 45 automobiles on the lot for sale and he receives a commission of $725.00 per sale. Which inequality shows the number of automobiles,x , the salesman must sell in order for him to receive a bonus cheque at the end of the month?
Answers
Answer:
x[tex]\geq[/tex]8
Step-by-step explanation:
in order to make 5800. he would need to sell 8 cars at 725. each (5,800/725.=8) so x would have to be equal to or greater that 8
P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answers
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
The speed of light is 3 • 105 kilometers per second. What is that in standard form?
Answers
Answer:
approximately 300,000,000 meters per second
Answer:
300,000
Step-by-step explanation:
Take 3 x 10^5 and simply add 5 zeros to 3. I know what you meant with your numbers', and this is the right answer.
Please help me:((((((( It is real urgent! Please and thank you
Answers
Answer:
B. p > 12.80(160) + 8235.
Step-by-step explanation:
Since he wants to make a profit, the price he will need to receive for his crop will have to exceed his costs. So, the equation would use the > sign rather than the >= sign.
He harvests crops for $12.80 per acre, with 160 acres. That would be 12.80(160).
He is spending $8235, which adds to the costs of harvesting.
So, the answer will be B. p > 12.80(160) + 8235.
Hope this helps!
Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Baseline n Superscript 4 Baseline EndFraction) squared What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4 Over 25 EndFraction StartFraction 4 Over 25 EndFraction StartFraction 24 Over 25 EndFraction
Answers
Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of m and n is:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
Exponent rule of division:
[tex]a^{x}\div a^{y}=a^{x-y}[/tex]
Compute the value of the expression for m = -5 and n = 3 as follows:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]
[tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]
Thus, the correct option is option (3) 4 ÷ 25.
Answer:
4/25
Step-by-step explanation:
I just did the test
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
on a new house. How much did Karen withdraw from the account?
(Round to the nearest cent as needed.)
Answers
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
Round to the nearest cent as needed.)
What number is 84% of 875?
Answers
Answer:
735
Step-by-step explanation:
Of means multiply
84% * 875
change to decimal form
.84* 875
735
Answer:
735
Step-by-step explanation:
a percent of any number is the decimal version of the percentage times the number.
84% = 0.84
We multiply it by the number and get 0.84*875 = 735
What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28)
Answers
Answer:
-2x + 3
Step-by-step explanation:
Step 1: Write out expression
-1/5(5x + 20) - 1/4(4x - 28)
Step 2: Distribute
-1/5(5)x - 1/5(20) - 1/4(4)x + 1/4(28)
Step 3: Multiply
-x - 4 - x + 7
Step 4: Combine like terms
-2x + 3
Answer:
agenthammerx is right plz give him stars
Step-by-step explanation: