Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?
Answer:
The new figure is not congruent with the old figure. They are similar
Step-by-step explanation:
Transformations
We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.
It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.
This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.
Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.
But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.
HELP LOL, i dont understand
Answer:
C
Step-by-step explanation:
Since the lines make a linear pair,
(5x+10)+(2x-5)=180
7x+5=180
7x=175
x=25
now, we just plug in
5(25)+10
125+10
135
How do u do this I am so confused please help!!
Answer:
x = √145
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = 12
Leg b = x
Hypotenuse c = 17
Step 2: Solve for x
Substitute [PT]: 12² + x² = 17²Isolate x term: x² = 17² - 12²Exponents: x² = 289 - 144Subtract: x² = 145Isolate x: x = √1450.6¯¯¯ is... irrational because it is a repeating decimal irrational because it can't be written as a fraction rational because it is a decimal that goes on forever without repeating rational because it can be written as a fraction
Answer:
The number is irrational because it can’t be written as a fraction
Step-by-step explanation:
Here, we want to state why the given number is irrational
Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers
Thus, the reason why the number is irrational is because it can’t be written as a fraction
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thank you love <3 greatly appreciated.
5. There were 30
presents left on Santa's
sleigh. In an unfortunate
incident, in which
Rudolph was unavailable
to lead the sleigh on a
foggy Christmas Eve, 2/6
of the presents fell over
the side when Blitzen led
an evasive maneuver.
How many presents fell
off?
Answer:10 presents fell off
Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10
Answer:
you put 30 over 1 than you then you 2 over 6 then subtract then
Step-by-step explanation:
so it would look like this
30/1 - 2/6=
Solve problem in photo (8th math)
Solve for x: 3x − 24 = 81 WILL GIVE BRAINLIEST
fifty-seven over three
one hundred five over three
57
105
Answer:
35
Step-by-step explanation:
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
[tex]3x-24=81\\3x=105\\x=35[/tex]
If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?
Answer:
27.72
Step-by-step explanation:
Answer:
12 pounds of oranges would cost $27.72
PLEASE CHECK, THANK YOU
Me and my friends have made a you tube channel that helps you in math if you could please check it out, it is called Evimero Academy
Help I only got a limited time
Answer:
Red
Step-by-step explanation:
Y intercept is 1
Slope is -2 (line is going down so the slope is negative)
Answer:
the yellow box
Step-by-step explanation:
Help me plzzz I don’t understand this
HELLLP PLSSS ASAPP!!!!!!!!!1
The answer is A, square root of 29
Rochelle can run 800 meters in 5 minut
At that rate, how many meters can
Rochelle run in 9 minutes?
if you scored 383 on the critical reading section on the SAT, what is your percentile
Answer:
20 percentile
Step-by-step explanation:
im sorry for your loss with your bad score.
Can someone pls help me with this?? I’ll give brainliest!
Answer:
It's ( - 4, 5 )
Hope it's help you.... ^_^I really need help with this.
20 point question pls help
Answer: y = -1/3x - 1
Step-by-step explanation:
Slope-intercept = y = Mx + b
M = slope
B= y
PLEASE HELP!
If the estimate of an 18% tip on an $82 dinner bill is $16. What is the exact answer?
$14.76
$15.00
$16.40
$18.40
Answer:
it is $16.40
Step-by-step explanation:
A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched.
Answer:
x ≤ ∞
Step-by-step explanation:
Let x represent the height of the space probe above sea level in meters.
Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:
x < -100 (the negative sign shows that it is below sea level).
After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:
x ≤ ∞
In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc intersections needed? A less than half the length of AB : 1 B В. less than half the length of AB : 2 more than half the length of AB : 1 O D more than half the length of AB : 2
Answer:
Answer:
D. More than half the length of AB ; 2 intersections needed
Step-by-step explanation:
Bisection implies dividing a given segment or angle into two equal halves.
To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.
Step-by-step explanation:
If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box
(-5,-3) (5,-4) slope =
Answer: -1/10
Step-by-step explanation:
Y2- Y1 over X2 - X1
-4 - - 3 over 5 - - 5
-4 + 3 over 5 + 5
-1 over 10
solve for x 15x-2=10x+23
Answer:
x=5
Step-by-step explanation:15x - 10x -2 = 23
5x= 23 = 2
5x = 5
x=5
Answer:
X=5
Step-by-step explanation:
15x - 2 = 10x + 23
5x - 2 = 23
5x = 25
x = 5
Hope this helps. Pls give brainliest.
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
C=45h+30
C=45(6.5)+30
Im using a decimal because it should be clear 1/2=0.5
C= 292.5+30
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
C=$322.50
QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?
Answer:
A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.
Step-by-step explanation:
Noah collected five water samples from local streams. Each sample was the same size, and he collected 4.35 liters of water in all. What was the volume of each water sample?
Answer:
4.35/5= 0.87 liters
you divide the total by how many to find out what the unit rate is for each sample
Step-by-step explanation:
HELP PLEASE!!!
Sofia spends $36 on groceries each week. If you write down a list of her total spending over
time, what kind of sequence will you have?
A arithmetic
B geometric
C both
D neither
Answer: A, arithmetic
Step-by-step explanation:
An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.
PLEASEE HELP AND SHOW WORK IF YOU CAN
Answer:
M=54.62
O=59.69
N=65.68
Step-by-step explanation:
M is the smallest, and N is the largest:)
you can use cossincalc . com !!
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
Learn more the cosine rule here:
https://brainly.com/question/29717637
#SPJ2
Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n