Mya claims [m<3 + m<4= m<1, as shown in the triangle below. Which equations explain why Mya's claim must be true?
Answers
We know that the sum of supplementary angels is 180 degrees.
\(m\angle1+m\angle2=180^o\)Using triangle sum property, we get
\(\begin{gathered} m\angle2+\angle m3+m\angle4=180^o_{} \\ ^{} \end{gathered}\)\(\text{ Substitute }180^o=m\angle1+m\angle2,\text{ we get}\)\(\begin{gathered} m\angle2+\angle m3+m\angle4=m\angle1+m\angle2 \\ ^{} \end{gathered}\)\(\text{ Subtracting m}\angle2\text{ from both sides, we get}\)\(\begin{gathered} m\angle2+\angle m3+m\angle4-m\angle2=m\angle1+m\angle2-m\angle2 \\ ^{} \end{gathered}\)\(\begin{gathered} \angle m3+m\angle4=m\angle1 \\ ^{} \end{gathered}\)We get results by using the following equations. Mia's claim must be true from the following equations.
\(m\angle1+m\angle2=180^o\)\(\begin{gathered} m\angle2+\angle m3+m\angle4=180^o_{} \\ ^{} \end{gathered}\)Hence the answer is D.
Related Questions
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
please answer this problem step by step
Answers
The intervals of each behavior of the function are given as follows:
Decreasing: (-∞, -3).Constant: (-3, 3).Increasing: (3, ∞).How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.More can be learned about functions at https://brainly.com/question/24808124
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Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
Answers
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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Based on the uniform probability table below, what is the probability that someone is allergic to nuts, given that they are vegan?
Answers
Answer:
\(0.25\).
Step-by-step explanation:
Using information from the table:
\(20\) out of the \(100\) individuals are vegan. The probability that a person is vegan would be \(P(\text{Vegan}) = (20 / 100)\).\(5\) out of the \(100\) individuals are vegan and allergic to nuts. The probability that a person is vegan and allergic to nuts would be \(P(\text{Allergic to Nuts $\cap$ Vegan}) = (5 / 100)\).Let \(P(\text{Allergic to nuts} | \text{Vegan})\) denote the probability that the person is allergic to nuts given that this person is vegan.
By the property of conditional probabilities:
\(\begin{aligned}P(\text{Allergic to nuts} | \text{Vegan}) &= \frac{P(\text{Allergic to nuts $\cap$ Vegan)})}{P(\text{Vegan})} \\ &= \frac{(5 / 100)}{(20 / 100)} \\ &= 0.25\end{aligned}\).
Determine whether a quadratic model exists for each set of values. If so, write the model.
f(-2)=16, f(0)=0, f(1)=4
Answers
Answer:
\(f(x)=4x^2\)
Step-by-step explanation:
Quadratic Model
The quadratic function can be expressed in the form:
\(f(x)=ax^2+bx+c\)
Where a,b, and c are constants to be determined using the points through which the function passes.
We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.
Point (0,0):
\(f(0)=a*0^2+b*0+c=0\)
It follows that
c=0
Point (-2,16):
\(f(0)=a*(-2)^2+b*(-2)+c=16\)
Operating:
\(a*(4)+b*(-2)+c=16\)
Since c=0:
\(4a-2b=16\)
Divide by 2:
\(2a-b=8\qquad\qquad [1]\)
Point (1,4):
\(f(1)=a*(1)^2+b*(1)+c=4\)
\(a*(1)+b*(1)+c=4\)
Since c=0:
\(a+b=4\qquad\qquad [2]\)
Adding [1] + [2]:
2a+a=12
3a=12
a=12/3=4
a=4
From [2]
b=4-a
b=4-4=0
b=0
The model is:
\(\boxed{f(x)=4x^2}\)
a circle has a diameter of 14 cm. find its circumference. use 3.14 for pi
Answers
Answer:
C= d pi 14(3.14)
Step-by-step explanation:
Cirumference = diamter x pi
14(3.14)= 43.96cm
I feel sad... I feel like no one loves me... I feel like I'm all alone... I want to be a cloud that just moves around without having to give a Dam-
what should I do? I'm eating ice cream... I'm in my computer doing school... help me I just want a conversation... with someone who can help me not make it more bad
Answers
Answer:
Why do you feel sad
Step-by-step explanation:
Answer:
hi luv
Step-by-step explanation:
I hope ur doing okay:( we can dm on i.ta
tuesdayylol
people do love u I promise mwuah
what is -7 + 3x = 8 - 2x
Answers
Answer: x = 3
Step-by-step explanation: -7 + 9 = 8 - 6
The mass of the Earth is about 6,000,000,000,000,000,000,000,000 kg. The mass of a human toddler's brain is about 400 grams. SHOW ALL WORK
(a) What is the mass of the Earth written in scientific notation?
(b) What is the mass of a toddler’s brain in scientific notation?
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
(A) = 6 x 10^24
(B) = 4 x 10^2
(C) but i need help on C cause I think you have to combine the kg and grams but I dont know how
Answers
Step-by-step explanation:
that's why it is so important to always write also the units a number represent.
and for a fully nice scientific notation you write also at least 1 digit after the decimal point.
(a) 6.0 × 10²⁴ kg
(b) 4.0 × 10² g
now,
1 kg = 1000 g ("kilo" means 1000)
so, in order to be able to compare the 2 numbers, you have to bring both numbers to the same unit. either both to kg or both to g.
6.0 × 10²⁴ kg = 6.0 × 10²⁴ × 1000 g = 6.0 × 10²⁷ g
or
4.0 × 10² g = 4.0 × 10² / 1000 kg = 4.0 × 10^-1 kg
once you have both showing the same unit, you can truly compare them.
What is the domain of h?
Answers
Answer: C
Step-by-step explanation:
The domain of a function is the set of x-values.
What’s the answer can someone help
Answers
Answer:
44
Step-by-step explanation:
replace x with 2
4(2+9)
4(11)
44
Jessica sells 50.5 ounces of lemonade for a total of 20.20.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.
Answers
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation: do it yourself jk lol first you add then divide by 6.5
Hey can someone help me :)
Answers
Convert 22 miles to feet.
1 mile = 5280 feet
22 × 5280 = 116,160 feet
2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....
Since you round the answer would be
2.1 miles per minute
The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Answers
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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7th-grade question
4. If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of
the snail, in meters per hour?
A. 1/40
B. 5/18
C. 1 1/2
D. 18/5
Answers
Answer:
18/5 which also equals 3 3/5 would be the answer
Alie detector will show a positive reading (indicate a lie) 5% of the time when the person is telling the truth and 98% of the time when the person is lying. Suppose two people are suspects in a one person crime and (for certain) one is guilty and will lie. Assume further that the lie detector operates independently for the truthful person and the liar. What is the probability that the detector is completely wrong that is that it gives a positive reading for the innocent suspect and a negative reading for the guilty suspect.
Answers
Solution
- Let M be the event that the machine detects someone is lying
- Let L be the event that the person is actually lying.
- The question tells us that the lie detector will detect a lie 5% of the time if the person is telling the truth.
- This means that the probability that the machine detects a lie given that the person is telling the truth is 5%. This is a conditional probability
- Mathematically, we have:
\(\begin{gathered} P(M|L^c)=5\text{ \%}=\frac{5}{100}=0.05 \\ \text{where,} \\ L^c\text{ is the complement of L, that is, the event that the person is telling the truth} \end{gathered}\)- Next, we are told that the machine detects a lie 98% of the time when the person is actually lying.
- This implies that the probability that the machine detects a lie given that the person is lying is 98%.
- Mathematically, we have:
\(P(M|L)=98\text{ \%}=\frac{98}{100}=0.98\)- The question asks us for the probability that the detector is completely wrong and gives a positive reading for an innocent suspect and negative reading for the guilty.
- We can also rework this question in familiar conditional probability language as follows:
- We are to find the probability that the lie detector detects a lie given that the innocent person is telling the truth AND the probability that the detector detects nothing for the guilty person given that he lied.
- We should break down this sentence into two aspects and then bring them back together with the AND probability formula. The AND probability formula is given below:
\(\begin{gathered} \text{Given events A and B, we have that the AND probability for both events is given as:} \\ P(A\text{ AND }B)=P(A)\times P(B)_{} \end{gathered}\)- Now, let us break down the sentence into two.
Sentence 1:
"We are to find the probability that the lie detector detects a lie given that the innocent person is telling the truth"
This statement corresponds to the probability we had earlier:
\(P(M|L^c)=0.05\)Sentence 2:
"...the probability that the detector detects nothing for the guilty person given that he lied."
- This is just the complement of the other probability we had earlier:
\(\begin{gathered} \text{ Earlier, we had} \\ P(M|L)=0.98 \\ \text{Now, we have} \\ P(M^c|L) \\ \\ \text{But we know that complements add up to 1} \\ \\ P(M|L)+P(M^c|L)=1 \\ 0.98+P(M^c|L)=1 \\ \text{Subtract 0.98 from both sides} \\ \\ P(M^c|L)=1-0.98 \\ P(M^c|L)=0.02 \end{gathered}\)- Thus, we can now apply the AND probability formula to combine our two results as follows:
\(\begin{gathered} \text{if A}=M|L^c\text{ and }B=(M^c|L) \\ \text{Then,} \\ P(A\text{ AND B)}=0.02\times0.05=0.001 \end{gathered}\)Final Answer
The probability that the detector gives a positive reading for the innocent suspect and a negative reading for the guilty suspect, is 0.001
I need help
5th Grade: Module 2 - Lesson 23 --if u dont know search that up
please send me picture why bc i need do a division of that and show my work please help
problem: 9152/29
Answers
Answer:
please
Step-by-step explanation:
A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270 degrees
Use 3.14 for pi and round the decimal to the nearest tenth.
42.8 ft
37.7 ft
12 ft
9.4 ft
Answers
The area of the sector is 37.7 ft.
What is sector:
A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.
The formula for the area of a sector is given by
A = (θ/360)πr²Where θ is the central angle in degrees, and r is the radius of the circle
Here we have
A circle has a radius of 4 ft.
The central angle of sector formed = 270°
Using the formula, Area of sector = (θ/360°) × π r²
Area of the given sector = [ 270/360] × 3.14 × (4)²
= [0.75 ] × [50.24]
= 37.68 ft
= 37.7 ft
Therefore,
The area of the sector is 37.7 ft.
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What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
Answers
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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PLEASE I NEED HELP SHOW WORK ASAP
Answers
Answer:
d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Imagine being in 8th grade
please find the slopes and lengths then fill in the words that best describes the type of quadrilateral.
Answers
We can find the slopes using the following formula:
\(m=\frac{y2-y1}{x2-x1}\)And the lengths using the following formulas:
\(d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}\)Therefore:
\(m_{QR}=\frac{5-2}{-1-(-9)}=\frac{3}{8}\)\(m_{RS}=\frac{9-5}{1-(-1)}=\frac{4}{2}=2\)\(m_{ST}=\frac{6-3}{-7-1}=\frac{3}{8}\)\(m_{TQ}=\frac{6-2}{-7-(-9)}=\frac{4}{2}=2\)\(\begin{gathered} L_{QR}=\sqrt[]{(-1-(-9))^2+(5-2)^2} \\ L_{QR}=\sqrt[]{73} \end{gathered}\)\(\begin{gathered} L_{RS}=\sqrt[]{(1-(-1))^2+(9-5)^2} \\ L_{RS}=2\sqrt[]{5} \end{gathered}\)\(\begin{gathered} L_{ST}=\sqrt[]{(6-9)^2+(-7-1)^2} \\ L_{ST}=\sqrt[]{73} \end{gathered}\)\(\begin{gathered} L_{TQ}=\sqrt[]{(6-2)^2+(-7-(-9))^2}_{} \\ L_{TQ}=2\sqrt[]{5} \end{gathered}\)Since:
\(\begin{gathered} m_{RS}=m_{TQ}\to m_{RS}\parallel m_{TQ} \\ m_{QR}=m_{ST}\to m_{QR}\parallel m_{ST} \end{gathered}\)And:
\(\begin{gathered} L_{QR}=L_{ST} \\ L_{RS}=L_{QT} \end{gathered}\)According to this, we can conclude it is a parallelogram
You can use this formula to convert a temperature in Celsius (C) to Fahrenheit (F).
F = 95C + 32
Use the formula to covert 55°C to Fahrenheit.
Answers
Answer:
using the formula is 87°F but without it is near 140°F
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 0.6 years.
If you randomly purchase one item, what is the probability it will last longer than 2 years?
Answers
The probability will last longer than 2 years will be 3.3%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
First let us calculate the z score using the formula:
\(z = \dfrac{(x- \mu)} { s}\)
where x = 2, u is the mean = 3.1 years, and s is the standard deviation
\(z =\dfrac{ (2 - 3.1) }{ 0.6}\)
z = -1.83
From the standard probability tables, the p-value at z = -1.83 is:
P = 0.033 = 3.3%
Therefore the probability that will last longer than 2 years will be 3.3%.
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I need h e l p
△ABC has a right angle at C, BC=9.2 centimeters, and m∠A=63∘.
What is CA ?
Enter your answer rounded to the nearest tenth in the box.
Answers
Answer:
17.8
Step-by-step explanation:
You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answers
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
What does "Y" equal? Answer ASAP and whoever gets it right can have brainliest
Answers
Answer:
Y = 21
To solve this, do the inverse of division, multiplication. Multiply 3 by the result, 7, and you get 21 as your answer to the missing digit.
Help me please with this math problem.
Answers
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
\(d_1=2 - 16 = -14\)
\(d_2=-2 - 2 = -4\)
\(d_3 = 4--2 = 6\)
\(d_4 = 20 - 4 = 16\)
(2) Subtract adjacent differences in (1) above
\(d_5 = d_2 - d_1 = -4 --14 = 10\)
\(d_6 = d_3 - d_2 = 6 --4 = 10\)
\(d_7 = d_4 - d_3 = 16 -6 = 10\)
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
What is the constant in 12r + r/2-19
Answers
Answer:
constant is - 19
Step-by-step explanation:
the constant is the term in an expression with no variable attached to it.
12r + \(\frac{r}{2}\) - 19
the only term without the variable r attached to it is - 19
then the constant term is - 19
A school is arranging a field trip to the zoo. The school spends 684.17 dollars on passes for 28 students and 3 teachers. The school also spends 269.92 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answers
The school spent $13.82 on passes for each student and $9.64 on lunch for each student.The total cost per student for both passes and lunch is $23.46.
What is System of equation ?
A system of equations is a collection of two or more equations that are related to each other and are solved simultaneously. In a system of equations, the solution satisfies all of the equations in the system.
For example, a system of two equations in two variables x and y can be written as:
a1x + b1y = c1
a2x + b2y = c2
where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables. To solve this system, we need to find values of x and y that satisfy both equations simultaneously.
There are several methods to solve a system of equations, such as substitution, elimination, and matrix methods. The choice of method depends on the specific equations and variables involved.
First, we need to calculate the total number of people who went on the field trip. There were 28 students and 3 teachers, so a total of 28 + 3 = 31 people went on the field trip.
Next, we can subtract the cost of lunch for just the students from the total amount spent on passes for everyone. This gives us:
684.17 - 269.92 = 414.25 dollars spent on passes for just the students and teachers
We can then divide this amount by the total number of students and teachers to find the cost per person:
414.25 / 31 = 13.36 dollars per person
This includes both the cost of the passes and lunch for the students and teachers. To find the cost per student for just the passes, we can subtract the cost of lunch for just the students from the total amount spent on passes, and then divide by the number of students:
(684.17 - 269.92) / 28 = 13.82 dollars per student
Therefore, the school spent $13.82 on passes for each student and $269.92 / 28 = $9.64 on lunch for each student. The total cost per student for both passes and lunch is $13.82 + $9.64 = $23.46.
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Mariam is going to see a movie and is taking her 3 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3 each. How much total money would Mariam have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Mariam have to pay if she bought xx snacks for everybody to share?
Answers
Answer:
3 times 6 = 18 + (3 times 12)
then for x its 3x + 18