The reflection transformation in the question is a rigid transformation,
therefore, the image and the preimage are congruent.
The statements that are true are;
AB = RS∠ABC ~ ∠RSTΔABC = ΔRSTm∠BAC = m∠SRTReasons:
The given parameter are;
Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST
Required:
To select the true statements
Solution:
A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.
Therefore;
AB = RS
BC = ST
AC = RT
Given that the image formed by a reflection is congruent to the preimage, we have;
ΔABC ≅ ΔRST
∠ABC ≅ ∠RST
m∠ABC = m∠RST by the definition of congruency
∠BCA ≅ ∠STR
m∠BCA = m∠STR by the definition of congruency
∠BAC ≅ ∠SRT
m∠BAC = m∠SRT by the definition of congruency
Therefore, the true statements are;
AB = RS; Image formed by rigid transformation∠ABC ~ ∠RST; Definition of similarityΔABC = ΔRST; By definition of congruencym∠BAC = m∠SRT; by the definition of congruencyLearn more here:
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find the sum of the even integers from 20 to 50.
with solutions please help
Answer: 560
Step-by-step explanation:
There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.
The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120
The 30's can be written: 5*30 + 20 = 170
40's: 5*40+20 = 220
50's: 5*50+20 = 270
60's: 5*60+20 = 320
Each set is incremented by 50
We want the sets for 20, 30, and 40, plus the number 50.
(120+170+220+50) = 560
You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.
Eric has 240 coins in his collection 11/20 are pennies and 4/40 are nickels
Answer:
There would be 36 coins left
Step-by-step explanation:
I don't know if that was the question but you would do:
11/20x2=22/40
22/40+4/40=26/40
26/40=13/20
One twentieth of 240 is 12
12x3=36
Hope this helped
You buy 6 items for $25.60. About how much did you spend?
Answer:
$4.20 i divided
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
The question says about. So you have to Round 25.60. Since the 0.60 part is greater than 0.50, we round it up to 1. Now add 25 and 1 to get 26. Now multiply 26 x 6 to get your answer (156)
May I please receive help????
Please
Answer:
43°
Step-by-step explanation:
Equation:m∠ABD = m∠1 + m∠2
Substitute:
68° = m∠1 + (m∠1 + 18°)
Solve:68° = m∠1 + (m∠1 + 18°)
68° = 2(m∠1) + 18°
50° = 2(m∠1)
25 = m∠1
Solution:Know that we know that m∠1 is, we can add 18* to find m∠2
25° + 18° = 43°
-Chetan K
Jane has nickles and quarters in her pocket. There are 20 coins, totaling $3
Answer:
It is 10 quarters and 10 nickels
10 x 25 = $2.50
10 x 5 = $0.50
2.50 + 0.50 = $3.00
***I hope this helps
Step-by-step explanation:
I need some help with this thank you!
Answer:
9
Step-by-step explanation:
2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2
2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2
2^28(3^-2/2^3)^4 x 243^2/256^2
2^28 x 1/2^12 x 3^8 x 243^2/256^2
243^2 x 1 x 2^28/256^2 x 3^8 x 2^12
2^28 x 243^2/2^12 x 3^8 x 256^2
2^16 x 243^2/3^8 x 256^2
2^16 x 3^10/2^16 x 3^8
=3^2
=9
Help!!!!!!!!!!!!!!!!!!!
Answer:
Slope of a line perpendicular to y=4x+3 is −14 .
Step-by-step explanation:
...............
If you need the graph here it is
Please help!!! Write 4x^2=12 in standard form?
Answer:
[tex]x = \sqrt{3} [/tex]
Step-by-step explanation:
4x^2=12
x^2=12/4
x= root 3
(5,6) and (6,8) equation of line
Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total. Is Beckett's estimate reasonable? Explain your thinking.
Beckett spent $88 in total his estimate of $80 is wrong.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.
The total spending will be calculated as,
Total = 52 + 36
Total = $88
The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.
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is 18/3 an irrational number
Answer:
Yes it is irrational
Step-by-step explanation:
Hope this helps
The number 18/3 is 6 which is not an irrational number.
What is an irrational number?An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
here, we have,
18/3
= 6
So, its not an irrational number.
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multiplicative inverse of 7 raised to -2
Answer:
The multiplicative inverse of 7 raised to - 2 is 72. Not actual 72 but 7 to the second power.
Step-by-step explanation:
The image point of A after a translation right 4 units and up 4 units is the point B(-5, -1). Determine the coordinates of the pre-image point A.
Answer:
(-9, -5)
Step-by-step explanation:
You have to imagine where it came from so the only way to find that is by reversing the translation. Instead of adding 4, we need to subtract 4 left and down. Once you did the inverse you receive your answer.
Please help me solve 9 and 10 ASAP please
Answer:
[tex] \sqrt{ |?| } [/tex]
13. The length of a rectangle is 9 cm more than 2 times the width. If the perimeter of the rectangle is 60 cm,
what are its dimensions?
a. length = 7 cm; width = 23 cm
b. length = 5 cm; width = 16 cm
C. length = 23 cm; width = 7 cm
d. length = 23 cm; width = 16cm
Answer:
C. length = 23 cm; width = 7 cmStep-by-step explanation:
Let the width is x, then the length is:
l = 2x + 9Perimeter is:
P = 2(l + w)60 = 2(x + 2x + 9)30 = 3x + 93x = 21x = 7Dimensions are:
Width = 7 cm, length = 2*7 + 9 = 23 cmCorrect choice is C
what is the answer for this please help
Answer:
7/10
Step-by-step explanation:
Cuales son los lados correspondientes de un ángulo
Answer:
Los lados correspondientes de un polígono son los lados que están en la misma posición en polígonos similares. En geometría, encontrar la congruencia y la similitud implica comparar los lados correspondientes y los ángulos correspondientes de los polígonos. En este artículo, aprendamos más sobre triángulos rectángulos similares, lados correspondientes, su definición, cómo son proporcionales
Step-by-step explanation:
When you rotate a figure, does every point move the same distance? Explain.
Answer:
Yes
Step-by-step explanation:
Because the figure is only 1 product or thing
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
What is the student error in the multiplication below?
Answer:
below what
Step-by-step explanation:
There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?
Answer:
there are 40 chaperones and 112 kids.
Step-by-step explanation:
5 chaps. plus 14 kids -- 19 people
152 people divided by 19 -- 8
chaperones = 5 x 8 kids = 14 x 8
3.5m/min = how manny miles/hour
Answer:
[tex]\sf\longmapsto0.13 miles/hour[/tex]
Step-by-step explanation:
Firstly we have to use the formula to find the miles/hour
[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]
[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]
[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]
.what is the answer please
its C the only one that makes a angle
PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.
Answer:
No
Step-by-step explanation:
A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°I need help please asap!!
Answer:
I think its step 2.
Step-by-step explanation: Correct me if im wrong. Hope it helps. :)
Answer:
Step 1 ;
Step-by-step explanation:
Convert the division into a multiplication and then flip the fraction .
[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]
The formula 1/2 bh finds the area of what shape?
The formula ½ bh finds the area of a triangle.
Please check the picture.
Answer:
Triangle
Step-by-step explanation:
b - base of the triangle
h - height or altitude
help its due in 3 mins
Answer:
Can you please give me the question or link
Step-by-step explanation:
4/5 - 3/8
plz help me might give brainlist
Answer:
17/40
Step-by-step explanation:
4/5-3/8=32/40-15/40
=17/40
Answer:
Solution:
17/40 Alternative form 0.425
Step-by-step explanation:
Explanation how:
Write all numerators above the least common denominator 40
32-15/40
hope to help
Use the GCF and the Distributive Property to find the sum.
42+66
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
42+66=??
Answer:
40 plus (2)42 plus 6x11
Step-by-step explanation:
Multiply
Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F
Answer:
45, 30, & 105
Step-by-step explanation:
<B=<D by alt. interior <s
180-150=30, so <C=30, <C=<A by alt interior <s
30+45=75
180-75=105
which expression shows 3 2/5 and -7 1/5 of the sum of integer and fraction parts
Answer:
-4 3/5
Step-by-step explanation:
3 2/5 + -7 1/5 = (3 - 7) + (2/5 + 1/5) = -4 3/5