PLEASE I REALLY NEED HELP
Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (-3x¹,y¹). (-3x²,y²), (-3x³, y³), and (-3x⁴, y⁴), will the science classroom be congruent to the math classroom?
The lengths of the horizontal sides of the science class is larger than the
length of the horizontal side of the math class.
The correct option is; No, the the transformation applied was not a rigid motion.
Reasons:
The given vertices of the science classroom are;
(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)
The coordinates of the vertices math classroom are;
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)
Whereby x₁ = x₄, we have;
Length of the vertical side of the rectangular math class = y₁ - y₄
Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁
Similarly;
The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)
Therefore;
[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]
The length of a side of the science is three times the length of the side of
the math class, which gives that the dimensions of the science class are not
the same as the the dimensions of the math class.
Therefore;
The science class and the math class are not congruent
The the correct option is, no the transformation that gives the science class from the math class is not a rigid transformation.Learn more about non-rigid transformation here:
https://brainly.com/question/2396426
Simplify using suitable property. Also name the property used:-3/5 x 4/7 + 8/5x 4/7
Answer:
The answer is 4/7 and the property used is the distributive property
Step-by-step explanation:
Recall from the distributive property;
a * (b + c) = ab + ac
Applying same here, we have it that;
4/7 (-3/5 + 8/5)
= 4/7 * ((-3 + 8)/5)
= 4/7 * 5/5
= 4/7 * 1 = 4/7
The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?
Answer:
17%
Step-by-step explanation:
Percent decrease
[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]
in the given parallelogram ABCD, find the value of x and y
Answer:
see explanation
Step-by-step explanation:
(a)
The consecutive angles are supplementary, sum to 180° , then
3y + 2y - 5 = 180
5y - 5 = 180 ( add 5 to both sides )
5y = 185 ( divide both sides by 5 )
y = 37
Then ∠ A = 3y = 3 × 37 = 111
The opposite angles are congruent , then
3x + 3 = 111 ( subtract 3 from both sides )
3x = 108 ( divide both sides by 3 )
x = 36
---------------------------------------------------------------------
(b)
The diagonals bisect each other , so
x + 8 = 16 - x ( add x to both sides )
2x + 8 = 16 ( subtract 8 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
and
5y + 4 = 2y + 13 ( subtract 2y from both sides )
3y + 4 = 13 ( subtract 4 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
whats the value of x? 8(-6 + 6x) = 240
Answer:
x = 6
Step-by-step explanation:
8(-6 + 6x) = 240
Distribute the 8
-48 + 48x = 240
Add 48 to both sides
48x = 288
Divide both sides by 48
x = 6
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli. The correct value of t* to construct a 98% confidence interval for the true mean amount of cheese filling is ________. Group of answer choices 2.797 2.492 2.064 3.467 3.745
Answer:
The correct value is t* = 2.492.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.
At the dance shoe store, they sell Tap, Point, and Ballet shoes. A pair of point shoes are double the price of ballet shoes. The tap shoes are $10 more than ballet shoes. If the total price of all the shoes is $648, how much is each shoe
Answer:
a pair of Tap shoes costs $169.50
a pair of Point shoes costs $319.00
a pair of Ballet shoes costs $159.50
Step-by-step explanation:
first tell your teacher, that the problem description is misleading.
as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.
what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.
and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.
my solution bases on these assumptions.
so, we got Tap (t), Point (p) and Ballet (b) shoes.
buying one pair each is
t + p + b = 648
now we know some other information.
p = 2×b (Point shoes are double the price of Ballet shoes)
t = b + 10 (Tap $10 more than Ballet)
so, we can replace t and p by expressions of b and get
b + 10 + 2×b + b = 648
4×b + 10 = 648
4×b = 638
b = 159.50
p = 2×159.50 = 319.00
t = 159.50 + 10 = 169.50
Find the mean absolute deviation of the following numbers. 10, 8, 5, 12, 20
Nancy made a scatter plot of how much money she had left at the end of each day her vacation which table represents the data in her scatter plot
Answer:
d
Step-by-step explanation:
Solve the following equation for x.
18 – 4.x = 10 - 2x
A x = -4
B) x = -1
C) x = 1
D) x =4
Answer:
D) x = 4
Step-by-step explanation:
18 - 4x = 10 - 2x
10 - 2x = 18 - 4x
10 - 2x + 4x = 18 - 4x + 4x
10 + 2x = 18
10 - 10 + 2x = 18 - 10
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
I have 2 more days to live what to do :(
Answer:
I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.
Help,anyone can help me do quetion.
Answer:
C2- 65° C3- 84°
Step-by-step explanation:
for C2:
the 2 parallel lines and the one cutting fully through form a transversal.
One of the rules for this is that co-interior angles (the 2 on the same side of the intersecting line) add to 180°.
This means that the angle at the top left (still within the triangle) should be 50° (180-121).
The other angle within the triangle (not the x one) is vertically opposite (opposite or "diagonal") with the 65°.
Vertically opposite angles have the same value, meaning the second angle is 65°.
In a triangle, the 3 angles add to 180. In this case, 50+65+x=180, which can be simplified to 115+x=180. Subtracting 115 from both sides gives x=65°.
For C3-
Imagine a parallel line is going through the angle x, splitting it into 2 angles (let's call them a and b).
With a being the top half, you can use the 133° given to help you. Like before, vertically opposite angles are the same, so the value "diagonal" to 133° should also be 133°. Using the co-interior rule, a should be 180-133, which gives 47°.
For b, we can skip this first step entirely. Since 143 and b are co-interior, 180-143=b, therefore b=37°.
To use these, remember a+b=x, which by subbing in the values gives 47+37=x, simplified to x=84°.
** I suggest revising the types of transversal relationships (corresponding, alternate, vertically opposite and co-interior). It's difficult explaining this without diagrams, but if you need more clarification, I'm happy to help!
PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures
express 81 as sum of odd numbers.
Step-by-step explanation:
[tex]1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17[/tex]
Solution all the odd no. show sum is 81consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
Help me please! It’s timed
Answer:
x=36.08
Step-by-step explanation:
Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]
DF=55
and DE= x
To find the value of x
According to trigonometry rule,
[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]
Therefore, the value of x will be 36.08
Determine the general rule for the sequence 19;11;3;.....
Answer:
Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23
Step-by-step explanation:
Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula.
Answer:
[tex]a_{n}[/tex] = 27 - 8n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 19 = 3 - 11 = - 8
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 19 and d = - 8 , then
[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule
The blueprint for the pelham's living room has a width of 12 inches using the scale of 2 inches = 7 feet.
The family wants to use a scale of 1 inch = 6 feet. What is the width of the living room on the new blueprint?
Answer:
The new blueprint's width will be 7 inches.
Explaination:
Find the width of the actual roomCreate a proportion: 2in:7ft
Divide 12 by 2 and multiply by 7 to find the real width: 6•7=42
Find new widthDivide actual width by 6 and multiply by 1 to find the new scale: (42/6) •1 = 7
Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.
Answer:
Explain what?
Step-by-step explanation:
which of the following is the slope of a line perpendicular to the line y = -2/3 x +5
Answer:
-2/3x is the slope
Step-by-step explanation:
y=mx+b is the equation to follow
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 6+(x+5)The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]
Combine like terms and solve for x.
[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]
Then we substitute the value of x in ages to find these three people ages.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16A circle P is circumscribed about a regular hexagon ABCDEF
Arc AB =
Select one:
a. 60
b. 120
c. not enough information
d. 90
Answer:
angle degrees is 60
so the answer would be A
Step-by-step explanation:
because there are 6 sides, 360 is divided by 6.
Solve the system of equations below using the elimination method.
Show how you determined your solution.
4x+y=23
3x-y=12
Answer:
The solution is (5, 3)
Step-by-step explanation:
To solve this system of linear equations, let's use elimination by addition and subtraction. This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:
4x+y=23
3x-y=12
---------------
7x = 35
Then x must be 5.
Substituting 5 for x in the first equation, we get
4(5) + y = 23. Then 20 + y = 23, or y = 3.
The solution is (5, 3)
Can someone solve this and show it step by step
−5x + 2[x − (4 + 2x)] ≥ 5 − 2(x − 1)
Step-by-step explanation:
-5x + 2(x -4 -2x) > 5 - 2x -2
-5x + 2x -8 -4x > 3 - 2x
-7x -8 > 3 - 2x
-5x > 11
x < 11:-5
x < -2.2
Answer:
x ≤ 3
Step-by-step explanation:
Susan and Katie are running an ultra marathon. Susan averages 5 miles per hour. Katie averages 5.2
miles per hour. If Susan gets a 45 minute head start, then exactly how many hours after Katie begins
running will she catch up to Susan?
Answer:
Katie will catch up to Susan after running 33.4 h.
Step-by-step explanation:
We can find the time that takes Katie to catch up to Susan by using the following equation:
[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f_{k}} [/tex]: is the final position of Katie
[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0
[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h
a: is the acceleration = 0 (she is moving at constant speed)
t: is the time
Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.
[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]
[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Since Susan gets a 45 minutes head start, in that time she traveled the following distance:
[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]
So, this will be the initial position of Susan.
[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Hence, the time will be:
[tex] 5.2t = 6.67 + 5t [/tex]
[tex] t = 33.4 h [/tex]
Therefore, Katie will catch up to Susan after running 33.4 h.
I hope it helps you!
Which of the following is not a disadvantage to cash advances on a credit card?
a.
Cash advances are similar to loans in that they need to be paid back with interest.
b.
Cash advances require a lot of paperwork and are generally difficult to get.
c.
Cash advances are often the last thing to be paid when paying off your credit card.
d.
Cash advances often come with an interest rate much higher than your credit card.
(its not a)
Answer:
B
Step-by-step explanation:
it is b because I got it right on Edu and it was on quiz let
What is the sum of the polynomials below ? 3y^5-2y+8 2y^5 - 4y^3-7
Answer:
[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]
Which of the following is the definition of the sine ratio in a right triangle
Answer:
Oppositeleg
adjacenleg
Answer:
option 1
Step-by-step explanation:
Just remember this to get the trigonometric ratio in a right triangle :
Old Henry And His Old Aunt
O for opposite
H for hypotenuse
A for Adjacent
Sin = O/ H
Cos = A /H
Tan = O /A
Which number is rational?
Answer:
Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number
Hope this helps!
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
