2-78.
Decide if each pair of triangles below is similar. If the triangles are similar,
justify your conclusion by stating the similarity condition you used. Also,
describe a possible sequence of transformations that would carry one onto
the other. If the triangles are not similar, explain how you know they are
not similar.
Answers
The pair of triangles is similar with the ASA similarity condition
How to decide if each pair of triangles is similar?The figure that completes the question is added as an attachment
From the figure, we have the following properties:
Two angles are congruent; This is indicated by the marks on one angle, and the corresponding right angleAlso, the hypotenuse of both triangles are similarThis means that the pair of triangles is similar with the ASA similarity condition.
Since the triangles share the same point
So, the transformation to carry the triangles onto one another is dilation
Hence, the pair of triangles is similar with the ASA similarity condition
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Related Questions
Rhiannon and Sophie both started saving for a new piano this month. Rhiannon will deposit $35.80 per week, but her bank account is currently overdrawn with a -$253.50 balance. Sophie also has a negative bank account balance of -$78.25 and will deposit $23.30 each week. How many weeks (w) will it take for the two bank accounts to have the same balance?
Answers
It will take 14.02 weeks for both the accounts to have the same balance
Bank account balance of Rhiannon = -$253.50
Money deposited by Rhiannon in the bank account each week = $35.80
Bank account balance of Sophie = -$78.25
Money deposited by Sophie in the bank account each week = $23.30
Let the number of weeks it takes to have the same account balance be x, therefore formulating the algebric equation we get:
Bank balance of Rhiannon + Money deposited by her each week*No of weeks it will take for the balance to be equal = Bank balance of Sophie + Money deposited by her each week*No of weeks it will take for the balance to be equal
= -253.5 + 35.8(x) = -78.25 + 23.3(x)
= -175.25 = -12.5(x)
x = 14.02 weeks
Therefore, it will take 14.02 weeks for both the accounts to have the same balance
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Prepare a frequency table of the following scores obtained by 40 students in a
test:
24,16,17,30,28,20,15,24,16,18,18,15,16,20,25,24,25,20,16,15,18,25,20,18,28,27
,25,24,24,18,18,25,20,16,25,20,27,28,28,16.
This contains 20 points please help me quick
Answers
Score | Frequency
15. 3
16. 6
17. 1
18 6
20. 6
24. 4
25. 6
27. 2
28. 4
30. 1
Answer:
Element Frequency Cumulative Frequency
15 3 3
16 6 9
17 1 10
18 6 16
20 6 22
24 5 27
25 6 33
27 2 35
28 4 39
30 1 40
Step-by-step explanation:
Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency
Cumulative frequency for first element is same as its frequency
Cumulative frequency for element 16 is 3 + 6 = 9
Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency
Write the fraction 12/28 in simplest form.
Answers
Answer:
3/7
Step-by-step explanation:
12/28=3*4/4*7=3/7
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answers
Answer:
SOLUTION: .−5x + 4y = 20. 10x − 8y = −40.
Step-by-step explanation:
First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity
Rewrite the Expressions using Distributive Property
(2+3)6
Answers
six times three is equal to 18.
six times two is equal to 12.
18+12=30
Answer:
Step-by-step explanation:
If you distribute 6 to the numbers inside the parenthesis, it means that you multiply both number by 6
2 x 6 = 12
3 x 6 = 18
the expression can be rewritten like the following:
12 + 18 = 30
Write the value of π correct to 5 decimal places.
Answers
Answer:
3.14159
Step-by-step explanation:
The value of π correct to 5 decimal places is 3.14159.
What are Decimal Numbers?Decimal numbers are numbers which includes a whole number part and a fractional part.
The point separating both parts is the decimal point.
Pi, which is written as the Greek symbol π, is defined as the ratio of the circumference of any circle to the diameter of that circle.
We know that,
Circumference of a circle, C = 2 π r, where r is the radius.
2r will be the diameter.
π = C / 2r
The value of pi to 5 decimal places = 3.14159
Normally we use 3.14.
Hence the value of pi is 3.14159 to 5 decimal places.
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2x-5y=5
x - y table
graphh
Answers
Answer: -3/4
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: −3/4
y-intercept: (0,0)
x y
0 0
4 -3
s it true that for any integer n ≤ 2, φ(n) has a primitive root? if so, prove it. if not, give an explicit counterexample
Answers
No, it is not it true that for any integer n ≤ 2, φ(n) has a primitive root
What is primitive root?In modular arithmetic, a number g is called a primitive root modulo n if every number coprime to n is congruent to a power of modulo . Mathematically, g is a primitive root modulo n if and only if for any integer a such that gcd(a, n)=1 , there exists an integer k such that:
.[tex]g^{k}[/tex]≡ a (mod n)
Now,
Existence of Primitive root modulo n exists if and only if:
n is 1, 2, 4, orn is power of an odd prime number , orn is twice power of an odd prime number .So,
if n be a positive integer. A primitive root mod n is an integer g such that every integer relatively prime to n is congruent to a power of g mod n.
For example,
As ϕ(11)=10, the order of 2(mod11) must divide 10.
So we check 22≡4(mod11) and 25≡10(mod11).
Since neither of these are 1, and
we know 2ϕ(11)=210≡1(mod11) by Euler's Theorem,
ord112=ϕ(11), making 2 a primitive root modulo 11.
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A stationery shop orders a batch of pens from a factory. The factory could make the batch of pens in 20 days using 12 machines. Due to a fault, only 9 machines were used for the first 8 days. All 12 machines were used from day 9 onwards. Work out the total number of days taken to make the batch of pens.
Answers
The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now, According to the question, the factories used all 12 machines in the last days, Also, for the first 8 days, only 9 machines were in use.
Thus, If the factories used all 12 machines, the batch of pens took 20 days to be manufactured.
Hence, the equation formed from the given information by basic algebra is: 20 + 12 - 9(8) / 12
28 - (72/12)
=28 - 6 = 22
Hence, The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.
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HELPP DUE TODAY
Geometry bisectors
Answers
Answer:
Step-by-step explanation:
Bisects means that ∠RED will be divided in two parts by segment EB. This means that ∠REB = ∠BED. So,
5x-3 + 5x-3 = 8x+16
10x-6 = 8x+16
2x = 22
x = 11
Keep in mind that 11 is NOT the angle of ∠BED. You will plug it back into ∠REB to get
5(11)-3 = 52
Therefore, ∠BED = 52°
44 < 5x6 and 5x - 6 ≤ 54
Answers
Answer:
5x - 6 ≤ 54
5x-6+6 ≤ 54+6
5x ≤ 60
divide by 5
x ≤ 12
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
The slope of the line shown is -2/3
Slope of a lineThe formula for calculating the slope of a line is expressed according to the formula
Slope = Rise/Run
Slope = y₂-y₁/x₂-x₁
Using the coordinate point (-9,-2) and (-6, -4)
Slope = -4+2/-6+9
Slope = -2/3
Slope = negative two third
Hence the slope of the line shown is -2/3
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Find the least common denominator (LCD) of 5/6 and
8/9
Answers
If you roll a 6-sided die 66 times, what is the best prediction possible for the number of times you will roll an even number?
Answers
Answer:
33 times
Step-by-step explanation:
Set up an equation:
3 evens / 6 total = 1/2 probability of rolling an even
66 times x 1/2 probability= 33
Best prediction: 33 times
Hope this helps!
Puzzle #4
1: Find the slope:
3: Find the slope:
(2,-6), (-4, -3)
2: Find the slope:
X
Y
-1
-12
1
-8
-4
0
35
5
4: Find the slope:
answer choices
B:
A:
C:
m=-2 m=0 m = 2
D:
m = -4
G:
m=
undefined
E: IF:
m =-
2
m = 4
I
H: -I:
m =
2
m =
Type the 4-
letter code into
the answer
box. All CAPS,
no spaces.
Does anyone know the code to puzzle 4???? Please
Answers
Answer:
1/-2
Step-by-step explanation:
Slope(m) = y2- y1/x2-x1
= -3-(-6)/-4-2
=+3/-6
=1/-2
PLEASE HELPPPPPPPPPP
Answers
Answer:
20 1/16
Step-by-step explanation:
please give brilliantest pls
Answer:
You have the correct answer [tex]20 \frac{1}{16}[/tex]
Step-by-step explanation:
Given [tex]f(x)=\frac{1}{x+5}[/tex], find the average rate of change of f(x) on the interval
[1,1+h]. Your answer will be an expression involving h.
Pls halp
Answers
The average rate of change of f(x) on the interval [1,1+h] is [1/(h + 6) - 1/6]/h
How to find the average rate of change of f(x) on the interval [1,1+h]?The function is given as
f(x) = 1/(x + 5)
The interval is given as
[1, 1 + h]
Calculate f(1) as follows
So, we have
f(1) = 1/(1 + 5)
f(1) = 1/6
Calculate f(1 + h) as follows
So, we have
f(1 + h) = 1/(1 + h + 5)
f(1 + h) = 1/(h + 6)
The average rate of change of f(x) on the interval [1,1+h] is then calculated as
Rate = [f(1 + h) - f(1)]/[1 + h - 1]
This gives
Rate = [1/(h + 6) - 1/6]/h
Hence, the average rate of change of f(x) on the interval [1,1+h] is [1/(h + 6) - 1/6]/h
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If angle 6 measures 9x+13 and angle 2 measures 11x-3 what is the measurement of angle 2
Answers
The measure of an angle 2 is 85°.
Given that, ∠6=9x+13 and ∠2=11x-3.
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
As we know, corresponding angles are congruent.
So, ∠6= ∠2
⇒ 9x+13=11x-3
⇒ 13+3=11x-9x
⇒ 16=2x
⇒ x=8
Now, ∠2=11x-3
=11×8-3=85°
Therefore, the measure of an angle 2 is 85°.
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Evaluate the expression when y=−2 and z=−5.
10y2z=
Answers
The value of the expression 10y²z is -750.
How to calculate the expression?We are to calculate the expression 10y²z when y=−2 and z=−5.
This will be:
10y²z
= 10 × -5² × -3
= 10 × 25 × -3
= -750
The value of the expression 10y²z is -750.
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i have already answered this question but got it wrong but really interested on the right answer
Answers
Answer:
You're right, It's option B.
Step-by-step explanation:
The expressions both share two common factors that are whole numbers; 9 and 6. Use those.
9: 1, 3, 9
6: 1, 2, 3, 6
please im begging you help me
Answers
Answer: Translation means you move a shape without rotating or flipping it and reflection is a mirror image of the shape. In the current example, the shape is translated right and down a noncalculable amount.
what is 5,435,778 expressed in scientific notation? a.5.435778 x 10 b.5.435778 x 10 c.5.435778 x 10 d.5.435778 x 10
Answers
5,435,778 in scientific notation will be 5.435778×10⁶.
Scientific notation is the way to represents huge numbers in simple form. This ease understanding and calculation of the numbers. When written in a scientific notation, the number is called coefficient, the number to which power is raised is called base and raised power is called exponent. For instance, in the given answer, 5.435778 is coefficient, 10 is base and 6 is exponent.
While converting the numbers into scientific notation, we need to remember following points -
If the number is greater than 1 or is a multiple of 10, the decimal will be placed on the Left Hand Side. Like in the number in question, decimal moved to left and we got positive exponent. If the number is less than 1, then decimal will be placed at Right Hand Side. In this case, the exponent will be negative. For instance, we will represent 0.005 as 5*10-³.Learn more about scientific notation -
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The complete question is -
what is 5,435,778 expressed in scientific notation? a.5.435778 x 10⁷ b.5.435778 x 10³ c.5.435778 x 10⁶ d.5.435778 x 10⁵
Simplify
x2 - 7x + 12
x2 -2x - 8
Answers
Answer:
5x+12
-8
Step-by-step explanation:
i think you have the problem wrong
3/ax - 4 = 20 What is x?
x =
Answers
Answer:
[tex] \sf \large \: x=8a[/tex]
Step-by-step explanation:
Let's solve for x.
3/ax−4=20
Step 1: Multiply both sides by a.
−4a+3x=20a
Step 2: Add 4a to both sides.
−4a+3x+4a=20a+4a
3x=24a
Step 3: Divide both sides by 3.
3x/3 = 24a/3
x=8a
how many different letter arrangements can be obtained from the letters of the word statistically, using all the letters?
Answers
Different letter arrangements that can be obtained from the letters of the word statistically, using all the letters= 6,48,64,800
Given,
Total number of arrangements obtained = 6,48,64,800
Given words = STATISTICALLY
Total word count = 13
Here we have repeated alphabets as -
"S"s = 2
"T"s = 3
"A"s = 2
"I"s = 2
"L" = 2
Total permutations we have here = 13! / 2!2!2!2!3!
= 6,22,70,20,800 / 96
= 6,48,64,800
What is Permutation?A permutation of a set in mathematics is, broadly speaking, the rearranging of its components if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
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Determine the constant rate of change
Answers
Find FH
FH = {Blank}
Answers
Answer:
22
Step-by-step explanation:
By the segment addition postulate, FH=8+14=22.
The equation will be,
→ FH = FG + GH
Then the value of FH will be,
→ FH = 8 + 14
→ [ FH = 22 ]
Hence, the value of FH is 22.
125+s is greater than or equal to 2300 in words
Answers
125 is greater than 23.
Given the question is to explain 125 > 23.
Here we have two numbers which are 125 and 23.
Inequalities:
Whenever we check the number which is greater or lesser by taking the difference between those two numbers we conclude which is greater or lesser.
If the difference between the numbers gets a positive number then the first number is greater than the second.
If the difference between the numbers gets a negative number then the first number is lesser than the second.
If the difference between the numbers gets zero value then the two numbers are equal.
So the difference between the given two numbers are
= 125 - 23
= 102
positive
So 125 is greater than 23.
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Your question is incomplete. Please find the complete question below
.Find 125 is greater than 23. Write about it in words.
Alyse bought 1/3lb of orange pekoe tea and 1/2lb of
English cinnamon tea. How many pounds of tea did
she buy?
Answers
According to the solving Alyse buy 5/6lb pounds fraction of tea.
What in math is a fraction?A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator as well as denominator of a complex fraction is a fraction.
How come a fraction is a number?A numerator, which is located above the line, and a denominator make up fractions (which is below the line). You may find out how many equally sized pieces are divided into something by looking at the denominator. How many of these equal components are taken into account is indicated by the numerator.
According to the given fraction:1/3lb of orange pekoe tea.
1/2lb of English cinnamon tea.
find the total pound of tea she buy:
So,
Adding these two fraction we get the total pounds:
= [tex]\frac{1}{3} + \frac{1}{2}[/tex]
= [tex]\frac{2 + 3}{6}[/tex]
= 5/6 lb
According to the solving Alyse buy 5/6lb pounds of tea.
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3a. let’s explore the data. what are the mean lengths of yellowfish in each location? what are the variances? do they meet the assumption of equal variances?
Answers
(3a) The 95% confidence interval of σ[tex]_{1}^{2}[/tex]/σ[tex]_{2}^{2}[/tex] is: [0.1932 , 1.2032].
What is variance?Variance is the anticipated squared deviation of a random variable from its population mean or sample mean in probability theory and statistics.
F test for variances, using F distribution ([tex]df_{num}[/tex]=19,[tex]df_{denom}[/tex]=20) (two-tailed) (validation).
Hypotheses
[tex]H_{0}:sigma_{1} = sigma_{2}\\\\H_{1}:sigma_{1}\neq sigma_{2}[/tex]
1. H0 hypothesis
Since p-value > α, H0 is accepted.
The sample standard deviation (S) of LaJolla.res' population is considered to be equal to the sample standard deviation (S) of Pt.Loma.ke's population.
In other words, the difference between the sample standard deviation (S) of the LaJolla.res and Pt.Loma.ke populations is not big enough to be statistically significant.
2. P-value
The p-value equals 0.1152, ( p(x≤F) = 0.05759 ). It means that the chance of type I error, rejecting a correct [tex]H_{0}[/tex], is too high: 0.1152 (11.52%).
The larger the p-value the more it supports [tex]H_{0}[/tex].
3. The statistics
The test statistic F equals 0.4796, which is in the 95% region of acceptance: [0.3986 : 2.4821].
S1/S2=0.69, is in the 95% region of acceptance: [0.6313 : 1.5755].
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