Answers
Answer:
The SAS Postulate
Step-by-step explanation:
SAS means Side-Angle-Side; that is, two sides are equal and an angle between those sides are equal. We're given two sides: TK and TL, and we're given that 1 is congruent to 2. Knowing the latter, we can conclude that the angle between them (let's call it 1.5 for our purposes) will be congruent to itself. Since 1.5 is the angle right in the middle of two congruent sides, our answer is SAS.
Related Questions
Which graph represents the function f(x)=|x−3|+1 ?
Answers
Answer:
the first one (in quadrant 1, pointing upwards)
Step-by-step explanation:
since the function is positive the graph will be facing upwards and start off at 1
03.07A LC)Which of the following describes a situation in which a basketball player ends up 0 m from his starting point? The player runs 9 meters forward, and then runs 0 meters in the opposite direction. The player runs 5 meters forward, and then runs 6 meters in the opposite direction. The player runs 6 meters forward, and then runs 5 meters in the opposite direction. The player runs 4 meters forward, and then runs 4 meters in the opposite direction.
Answers
Answer:
The correct option is;
The player runs 4 meters forward, and then runs 4 meters in the opposite direction
Step-by-step explanation:
From the question relates to the displacement of a body, compared to the distance covered by the body
In the question instance, the situation in which the player displacement will be zero is one where both the players forward and backward displacement are equal such that they cancel each other
We have the instance where the forward and opposite displacement are equal is given by the situation where the player runs 4 meters forward, and then runs 4 meters in the opposite direction.
Answer:
d would be the answer if your so needy
Step-by-step explanation:
You are fencing a rectangular puppy kennel with 25 ft of fence. The side of the kennel against your house does not need a fence. This side is 9 ft long. Find the dimensions of the kennel.
Answers
Answer:
9 by 8 ft
Step-by-step explanation:
if you subtract the 9 ft for the side opposite your house you are left with 16. divide 16 by 2 for the sides sticking out from your house. the answer is 8 so the cage would be 9ft by 8ft
In an examination 1/3 of the total student used unfair means and out of which 1/4 caught red handed while cheating. If 5 student caught red handed then find the total number of student appeared in exam
Answers
Answer:
total number of students =60
Step-by-step explanation:
total number of students 60
used unfair means 1/3= 20
1/4 caught red handed 1/4 of 20= 5
The pentagon ABCDE is dilated to the image A'B'C'D'E' with the center of the dilation at the origin.
Select all true statements
The scale factor of the dilation is 1/4
The line EA is parallel to the E’A’ because EA passes through the center of the dilation
Since the line C’D’ falls on the line CD, the scale factor is. It applied on the line CD
The scale factor of the dilation is 1/2
The line CD is not parallel to the line C’D’ because CD passes through the center of the dilation
Answers
Now I’m no genius but I‘m pretty sure the answers are “c” and “d”
Ya’ll have a good day or night, whichever one!
The true statement for the Pentagon in the given graph is
The scale factor of the dilation is 1/2 with the center at the origin(0,0).
Dilation:Dilation implies resize of any object.
It may increase or decrease the object by a particular value.The particular value is called the scale factor. Properties of Dilation of figure:Parallel lines in the dilated figure remain the same as in the original figure.The dilation of any figure does not vary from each angle of the figure.The midpoints of the dilated figure remain the same as that of the original figure.True statement:The scale factor of the dilation of the pentagon is 1/2.
Reason:The pentagon with vertices A(0.5,4.5), B(2,3), C(1,0), D(-2,0), E(-3,3) when multiplied by 1/2 we get The vertices of the dilated pentagon as A'(0.25,2.25), B'(1,1.5), C'(0.5,0), D'(-1,0), E(-1.5,1.5). When we plot the points A'B'C'D'E' in the graph, obtain the dilated pentagon with a center at the origin. Wrong statement with Reasons:The scale factor of the dilation is not 1/4 because when we multiply the vertices of pentagon ABCDE by 1/4 we are not getting the dilated points as in the graph.The line EA is parallel to E'A' but,1. The line EA does not passes through the center of the dilation
at origin(0,0), which can be clearly seen from the given graph.
2. For two lines to be parallel it is not necessary for one of the
lines to pass through the origin.
The line C'D' is parallel to CD as we should see the figure in a 3-dimensional way and it also follows the properties of dilation of a figure.Hence the scale factor of the given pentagon is 1/2.
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HELP ME PLLEEEEASE I BEG
Answers
Intersection = {4,16}
Find the Probability that a point chosen randomly inside the
rectangle is inside the trapezoid. Enter your answer as a decimal.
10 ft
4 ft
6 ft
4 ft
12 ft
1
2 ft
Answers
Answer: 1/5
Step-by-step explanation:
We need to calculate the area of rectangle and trapezium and the Circumference of the circle.
Area of rectangle :
Length(L) = 10 ; width (W) = 6
Area = L * W = (10 * 6)ft = 60ft^2
Area of trapezium :
Height (h) = 4ft ; length(a) = 2ft ; length(b) = 4ft
Area = 0.5 ( a + b) h
Area = 0.5(2 +4) * 4 = 0.5(6)*4 = 12ft^2
Area of circle :
πr^2 ; r = radius of circle ; r= 2ft
3.142 * 2^2 = 3.142 * 4 = 12.568 ft^2
Probability = required outcome / Total possible outcomes.
P(point chosen inside rectangle is inside trapezium) = Area of trapezium / Area of rectangle
= 12/60
= 1/5
HELP FAST PLEASE
Polygon ABCDE is congruent to polygon TVSRK. VSR corresponds to
a,)
b,)
c,)
d,)
Answers
We are given that ABCDE is congruent to TVSRK and want to find what corresponds to VSR.
Look at the ordering of the letters. VSR is the second, third, and fourth letters of TVSRK, respectively.
Thus, we just have to select the second, third, and fourth letters of ABCDE and we get BCD.
Thus, VSR corresponds to BCD. Let me know if you need any clarifications, thanks!
how to do this question plz answer
Answers
Answer:
(a) See net below
(b) 38 cm^2
Step-by-step explanation:
(a) see completed net below.
It's like a pizza box when finishd.
Fold the two sides (left, right, 1*3) up.
Fold the bottom part added up to form a side.
Fold the very bottom rectangle to form the top face.
(b) Total surface area
= top and bottom faces of 12 cm^2 each+ 2 sides of 3 cm^2 + 2 sides of 4 cm^2 each
= 2*12 + 2*3 + 2*4
= 24 + 6 + 8
= 38 cm^2
If anyone doesn't mind helping may you plz help me
Answers
Answer:
SAS
Step-by-step explanation:
Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.
we know that the triangles (as a whole) as vertical angles meaning they are congruent. We also know FD and BD are congruent to themselves by the reflexive property. And the last side is already congruent (it’s given) :))
Which of the following is the function of f(x)?
Answers
Answer:
f(x) = 8(x-3)
Step-by-step explanation:
F^ -1 ( x) = x/8 +3
Let y = x/8+3
To find the inverse
Exchange x and y
x = y/8+3
Solve for y
x-3 = y/8+3-3
x-3 = y/8
Multiply each side by 8
8(x-3) = y/8 * 8
8(x-3) = y
The inverse of the inverse is the function so
f(x) = 8(x-3)
Answer:
[tex]\boxed{f(x) = 8(x-3)}[/tex]
Step-by-step explanation:
[tex]y=\frac{x}{8} +3[/tex]
Switch variables.
[tex]x=\frac{y}{8} +3[/tex]
Make y as subject.
Subtract 3 from both sides.
[tex]x-3=\frac{y}{8}[/tex]
Multiply both sides by 8.
[tex]8(x-3)=y[/tex]
The box plots show the high temperatures in January and March for Denmark in degrees Fahrenheit. Box plots titled Average Daily Temperatures in Denver in March and January with horizontal axis labeled temperature in degrees fahrenheit ranges from 45 to 80. March box plot with minimum approximately at 55 and maximum approximately at 75, its interquartile range is approximately between 60 and 70, and the median is between 60 and 65. January box plot is with minimum approximately 55 and maximum approximately at 70, its interquartile range is approximately between 57 and 65, and its median is approximately between 60 and 65. Which can you tell about the mean temperatures for these two months? The mean temperature for March is higher than January's mean. The low median for January pulls the mean temperature below March's mean temperature. There is not enough information to determine the mean temperatures. The high range for March pulls the mean temperature equal to January's mean temperature.
Answers
Answer:
The mean temperature for March is higher than January's mean.
Step-by-step explanation:
I took the test. trust me and you will be set free ;D
Marci has taken out a loan of $5,000 for a term of 24 months (2 years) at an interest rate of 8.5%. Use the amortization table provided to
complete the statement.
Monthly Payment per $1,000 of Principal
Rate | 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $59.35 $23.71 $19.57
7.0% $86.53 $44.77 $31.88 $23.95 $19.80
7.5% $86.76 $45.00 $51.71 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
Marci's monthly payment will be $
and her total finance charge over the course of the loan will be $
Answers
Answer:
$227.30$455.20Step-by-step explanation:
The table tells you that Marci's monthly payment on a 2-year loan at 8.5% will be $45.46 on each $1000 borrowed. For her $5000 loan, her monthly payment will be 5 times the table value, or ...
monthly payment = $5000/$1000 × $45.46
monthly payment = $227.30
__
Her total of 24 payments will be ...
total repaid = 24 × $227.30 = $5,445.20
That amount is $445.20 more than the amount borrowed, so that is Marci's finance charge.
__
Marci's monthly payment will be $227.30, and her total finance charge will be $455.20.
Shelley and David have a sweet tooth. Shelley spent \$2.65 for 15 sour keys and 2 chocolate bars. David bought 3 chocolate bars and 10 sour keys for \$3.35 at the same store. Find the cost of each chocolate bar and each sour key at this store. If you need 8 chocolate bars and 24 sour keys to give to friends coming to your birthday party, how much will they cost you at this store?
Answers
Answer:
Chocolate bars: $0.95 each
Sour keys: $0.05 each
Total cost for 8 chocolate bars and 24 sour keys: $8.80
Step-by-step explanation:
sour keys=x
chocolate bars=y
15x+2y=2.65
10x+3y=3.35
multiply the second equation by 1.5
15x+4.5y=5.025
2.5y=2.375
y=0.95
Chocolate bars are $0.95 each.
Now substitute the y value in one of the equations
15x+2(0.95)=2.65
15x+1.9=2.65
15x=0.75
x=0.05
Sour keys are $0.05 each.
For the second part of the question, just multiply the number of chocolate bars by the cost and same thing with the sour keys and add them.
Final answer: $8.80
Please help Asap. Will give brainiest if answered correctly with a math question
Answers
TV = VX.
3x-24 = 2x + 1
Add 24 to both sides:
3x = 2x + 25
Subtract 2x from both sides:
X = 24
VX = 2(25) + 1 = 50 + 1 = 51
The answer is 51
Answer:
51
Step-by-step explanation:
Since it is an isosceles triangle the two sides are equal
3x - 24 = 2x + 1
x = 25
2(25) + 1 = 51
How many times larger is 5 × 106 than 5 × 102?
Answers
Answer:
1.03921568627
Step-by-step explanation:
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Answers
Answer:
a(1)= -3
a(n)=a(n-1) (-3)
Step-by-step explanation:
hope this helps
Recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...
What is recursive formula?A recursive formula defines any term of sequence with its preceding term.
The given sequence is -3, 9, -27, 81, -243, ... ,
First term = -3
Second term = (-3)^2 = 9
Third term = (-3)^3 = -27
Fourth term = (-3)^4 = 81
Fifth term = (-3)^5 = -243
Hence, the recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...
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Devi’s mother is three times as old as Devi. Five years ago, Devi’s mother was four times as old as Devi was then. Find their present ages
Answers
Answer:
Devi's present age = 15 years
Devi's Mother's present age = 45 years
Step-by-step explanation:
Let the present age of Devi be x years.
Therefore, mother's present age = 3x
Five years ago:
Devi's age = (x - 5) years
Mother's age =( 3x - 5) years
According to the given condition:
Five years ago:
Devi's mother's age = 4 times Devi's age
3x - 5 = 4( x - 5)
3x - 5 = 4x - 20
20 - 5 = 4x - 3x
15 = x
x = 15 years
3x = 3* 15 = 45 years
Hence,
Devi's present age = 15 years
Devi's Mother's present age = 45 years
A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters. What is the area of the composite figure if AB ≅ BC ≅ CD ≅ DA ≅ DN? (2π + 28) mm2 (2π + 32) mm2 (2π + 40) mm2 (2π + 48) mm2
Answers
Answer:
(2π + 28) mm²
Step-by-step explanation:
The Area of the Composite figure =
Area of the Trapezoid + Area of the Square + Area of the semicircle
a) Area of the Trapezoid
Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters
Diameter of the semicircle= length of 4 millimeters = height of the trapezoid
Area of trapezoid = 1/2 × h × (b + b)
= 1/2 × 4 × (8 + 4)
= 1/2 × 4 × 12
= 1/2× 48
= 24mm²
b) Area of the square
Square A B C D has side lengths of 2 millimeters.
Area of a square = Side length²
=(2mm)² = 4mm²
c) Area of the semicircle
Line A B is the diameter of the semicircle and has a length of 4 millimeters.
Formula for the Area of a semi circle: πr²/2
Radius = Diameter/2 = 4mm/2 = 2mm
= π × 2²/2
= 4π/2
= 2πmm²
The Area of the Composite figure =
Area of the Trapezoid + Area of the Square + Area of the semicircle
= 24mm² + 4mm² + 2πmm²
= 28mm² + 2πmm²
= (28 + 2π)mm²
Therefore, the Area of the Composite figure = (28 + 2π)mm² or (2π + 28) mm²
Answer:
A- (2π + 28) mm²
Step-by-step explanation:
edge
Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees. What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155
Answers
Answer:
C, 105 Degrees
Step-by-step explanation:
So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.
The measure of angle O in this parallelogram is 105°.
The properties of a parallelogramThe opposite angles of a parallelogram are equal.The Opposite sides of the parallelogram are equal and parallel.The diagonals of the parallelogram bisect each other.The Sum of the angles = 360°
Solution
Because the properties says that opposite angles are equal.
Angle L = (x + 40)
angle O = (3 x)
Applying the first property
x+40+x+40+3x+3x = 360
collect the like termsx+x+3x+3x+40+40 = 360
8x+80 = 360
8x = 360-80
8x = 280
Divide through the equation by 8
x = 280/8
x = 35
The question wants us to find the value of angle O
O = 3x
O = 3*35
= 105
The value of angle O is equal to 105°
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97 students choose to attend one of three after school activities: football, tennis or running. There are 45 boys. 36 students choose football, of which 11 are girls. 41 students choose tennis. 15 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answers
Answer:
20/97
Step-by-step explanation:
Since we are only looking at students in general that choose running, the question is more simple than it seems. We can ignore every phrase that is gender specific because it doesn't apply to our question. All we need to know is that there are:
97 students
36 who chose football
41 who chose tennis
And we just need to find the number that chose running
97-(36+41)=20
20 students chose running
20/97
what is the value of the angle marked with x
Answers
Answer:
67°Step-by-step explanation:
Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°
Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.
Hope this helps...
Best regards!!
ada is conducting an experiment to determine the boiling point of salt water. she fills two identical pots of water with equal amounts of water. in one pot, she adds salt. she then puts the pots of water over a flame and records the temperature for each pot of water when it begins to boil. what is the treatment?
Answers
Answer:
HYPOTHESIS
Step-by-step explanation:
plz help asap, thank you
Answers
Answer:
57
Step-by-step explanation:
The answer is 57 because if angle 4 is 123 and angle 4 is equal to angle 3 then angle 3 is also 123. Then you would subtract 180 - 123 which is equal to 57.
Answer:
TKL is 57°
Step-by-step explanation:
since angle 3 is equal to angle 4 and angle 4 equals 123°, then angle 3 is 123°
subtract 123 from 180 then you get 57
THIS IS URGENT! PLEASE help me with this question!!!
Answers
L,b = 100,0.01
d = sqrt(100/(4*pi*0.01)) = sqrt(796.178) = 28.217
The municipal swimming pool in Charlotte, North Carolina has three different ways of paying for individual open swimming. Nick is trying to decide which way to pay. • Early Pay: Pay $38.00 before Memorial Day; swim any number of days • Deposit Plus: $13.00 deposit plus $3.00 per day • Daily Pay: $5.00 per day
Answers
Answer:
$13.00 deposit plus $3 per day.
Step-by-step explanation:
Nick is deciding to acquire membership in municipal swimming pool in Charlotte, North Carolina. There are three different ways for the payment. The lump sum initial is $38 which is difficult for Nick to finance. Also if Nick is unable to go for swim he will lose $38. The per day deposit is suitable option for Nick as he will only have to pay when he goes for swim.
Answer:
Table of swimming costs using the three different payment methods
Payment Method Number of days
0 days 5 days 10 days 15 days 20 days
Early Pay $38.00 $38.00 $38.00 $38.00 $38.00
Deposit Plus $13.00 $28.00 $43.00 $58.00 $73.00
Daily Pay $00.00 $25.00 $50.00 $75.00 $100.00
HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortgage for the balance, amortized over 20 years at 5.25%. If the Lees pay off the mortgage at the end of the 20 years, how much interest will they have paid in total? USE TVM SOLVER
Answers
Answer:
$191,340.80
Step-by-step explanation:
Step 1
We find the amount that is paid monthly by the Lee's
We are told in the question that:
Cost of the house =$360,000
Down payment = $50,000
We are also told, the balance left after the down payment was made = Mortgage that is amortized at an
Interest rate of 5.25%
Time = 20 years
Hence, Mortgage amount = $360,000 - $50,000 = $310,000
Formula for monthly payment =
M= P[r(1+r)^n/((1+r)^n)-1)]
M = the total monthly mortgage payment.
P = the principal loan amount.
r = your monthly interest rate.
= rate/12
=5.25%/12 = 0.0525/12
= 0.004375
n = number of payments
= number of years × number of months
= 20 × 12 = 240 payments
Formula for monthly payment =
M= P[r(1+r)^n/((1+r)^n)-1)]
M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]
M = $2,088.92
Therefore, the monthly payment by the Lee's is $2,088.92
Step 2
We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years
Total Amount paid = Monthly payments × Number of payments
= $2,088.92 × 240
= $501,340.80
Step 3
The third and final step is to calculate the Total interest paid for 20 years
Total Interest = Total amount paid - Mortgage amount
= $501,340.80 - $310,000
Total Interest: $191,340.80
Therefore,the interest will they have paid in total is $191,340.80
The vertex of the parabola below is at the point (-3, -5). which of the equations below could be the one for this parabola?
A. x = -3(y + 5)^2
B. y = (x + 3)^2 -5
C. y = (x - 5)^2 + 3
D. y = (x + 3)^2 + 5
Answers
Answer:
Step-by-step explanation:
The coordinates of a vertex are (h, k). If our vertex is (-3, -5), then h = -3 and k = -5. The vertex form of a parabola is
[tex]y=(x-h)^2+k[/tex] so if we fill in our h and k values, the equation becomes
[tex]y=(x-(-3))^2+(-5)[/tex] and, simplified, is
[tex]y=(x+3)^2-5[/tex]
Choice B.
How much will Bob need to save each month if he wants to buy a $30,000 car with cash in 5 years? He can earn a nominal interest rate of 10% compounded monthly.
a) $2.50
b) $250.00
c) $25.00
d) $1,862.76
Answers
Answer:
B
Step-by-step explanation:
C is too little and D is too much
On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in dollars on the y-axis. The first line has an open circle at (0, 50) and continues horizontally to a closed circle at (2, 50). The second line has an open circle at (2, 100) and continues horizontally to a closed circle at (6, 100). The third line has an open circle at (6, 200) and continues horizontally to a closed circle at (8, 200). The graph represents the cleaning costs charged by a housekeeping service. Which statement is true of the cost function? A cleaning time of 2 hours will cost $100. A cleaning time of 6 hours will cost $150. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. Cost is a fixed rate of $200 for jobs that require at least 6 hours.
Answers
Answer:
C. (2, 6] hour jobs cost $100
Step-by-step explanation:
Let's consider each of these statements in view of the graph:
A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.Answer:
(0,8) first option and 50,100 or 200 in the second option
Step-by-step explanation: