Joe tried to prove that the sum of a triangle's interior angle measures is 180 ° 180°180, degree Triangle A B C with a dashed horizontal line labeled l passing through point C. Angle A is labeled one. Angle B is labeled two. Angle A C B is labeled three. The exterior angle formed by the dashed horizontal line, point C, and point A is labeled four. The exterior angle formed by the dashed horizontal line, point C, and point B is labeled five. Triangle A B C with a dashed horizontal line labeled l passing through point C. Angle A is labeled one. Angle B is labeled two. Angle A C B is labeled three. The exterior angle formed by the dashed horizontal line, point C, and point A is labeled four. The exterior angle formed by the dashed horizontal line, point C, and point B is labeled five. Statement Reason 1 Construct line ℓ ℓell through � CC parallel to � � ↔ AB A, B, with, \overleftrightarrow, on top. 2 � ∠ 4 = � ∠ 2 m∠4=m∠2m, angle, 4, equals, m, angle, 2 and � ∠ 1 = � ∠ 5 m∠1=m∠5m, angle, 1, equals, m, angle, 5 Alternate interior angles formed by parallel lines have equal measures. 3 � ∠ 5 + � ∠ 4 + � ∠ 3 = 180 ° m∠5+m∠4+m∠3=180°m, angle, 5, plus, m, angle, 4, plus, m, angle, 3, equals, 180, degree Angles that combine to form a straight angle have measures that sum to 180 ° 180°180, degree. 4 � ∠ 1 + � ∠ 2 + � ∠ 3 = 180 ° m∠1+m∠2+m∠3=180°m, angle, 1, plus, m, angle, 2, plus, m, angle, 3, equals, 180, degree Substitution (2,3) What was the first mistake in Joe's proof? Choose 1 answer: Choose 1 answer: (Choice A) Constructing a parallel line like this isn't necessarily possible. A Constructing a parallel line like this isn't necessarily possible. (Choice B) Angles ∠ 4 ∠4angle, 4 and ∠ 2 ∠2angle, 2 are not alternate interior angles, and neither are ∠ 1 ∠1angle, 1 and ∠ 5 ∠5angle, 5. B Angles ∠ 4 ∠4angle, 4 and ∠ 2 ∠2angle, 2 are not alternate interior angles, and neither are ∠ 1 ∠1angle, 1 and ∠ 5 ∠5angle, 5. (Choice C) Angles ∠ 3 ∠3angle, 3, ∠ 4 ∠4angle, 4, and ∠ 5 ∠5angle, 5 don't form a s
Joe made the first mistake in the proof by making the assumption that line l is parallel to AB without providing any evidence or justification for this claim. This suspicion subverts the ensuing thinking and conclusion of the proof.
How to prove that the sum of a triangle's interior angle measures is 180 ° degreeJoe's first error in his proof was assuming, without any evidence or justification, that line l is parallel to line AB. In order to construct a parallel line, specific information or conditions are required, such as the use of particular construction techniques or predetermined angles.
Joe's proof's subsequent reasoning and conclusions become questionable if the parallel relationship between the lines is not established. For the purpose of establishing that the sum of the interior angles of the triangle equals 180 degrees, the congruence or equality of angles must be demonstrated using the parallel line assumption.
Joe's proof cannot be considered accurate or valid because it lacks a solid logical foundation for the parallel line assumption.
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In a newspaper, it was reported that yearly robberies in Springfield were up 40% to 154 in 2012 from 2011. How many robberies were there in Springfield in 2011?
quick plss
Answer:
The answer is 110
Step-by-step explanation:
If you go on wiki you will find a hold lot,of things you need to know about yearly robberies.And thank your for choosing brainly and having your trust upon other user just like me place what ever answer you want and a brainly user will get back to you in about 10-15 minutes is not your one of luckey ones
2a +7= 15 answer please
Answer:
a = 4
Step-by-step explanation:
2a + 7 = 15
- 7 - 7
2a = 8
/2 /2
a = 4
Hope this helps!
Answer:
a=4
Step-by-step explanation:
We need to find a way to get (a) alone on one side.
first, we will subtract 7 from 15 to get 8.
Next, We will divide 8 by 2. to get 4
your work should look like this.
2a+7=15
2a=15-7
2a=8
a=8/2
a=4
Help its due in 20 minutes please
Answer:
The answer is A
Step-by-step explanation:
F the total number of fees is how much 250 + 15g equals
In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
what expression is would show how much it would cost for 3 football tickets
Answer:
3x, where x = the price of a football ticket
3 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
Check all the statements) that are true about the polynomial function graphed
Its leading coefficient is positive. its leading coefficient is negative.
It has an odd degree
It has an even degree
It has exactlv two real zeroes
It has exactly three real zeroes.
None of the zeroes have even multiplicity
None of the zeroes have odd multiplicity.
The true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
From the given options, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
Let's analyze each statement:
Its leading coefficient is positive:
The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.
It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.
If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.
None of the zeroes have even multiplicity:
The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.
In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.
The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.
Therefore, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
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((-3)^2)^4
Simplify the expression wrote your answer as a power
Answer:
(-3)^8
Step-by-step explanation:
The pie chart shows the favorite retail clothing store of
a group of teenagers.
About what percentage of teenagers prefer ForLess?
v%
About what percentage of teenagers prefer BuyMore?
%
About what percentage of teenagers prefer Silklt?
%
Answer:
I think it is 75% on this question
Answer:
1. 40
2. 30
3. 10
Step-by-step explanation:
what is 20 squared 2 + 6(9 + 3)
Answer:
\(\sf 872\)
Step-by-step explanation:
Parentheses
\(9 + 3 = 12\)
\(=20^2\cdot \:2+6\cdot \:12\)
Exponents
\(20^2=400\)
\(=400\cdot \:2+6\cdot \:12\)
M/D(Multiply/Div.)
\(6\cdot \:12 = 72\)
\(=800+72\)
A/S(Add/Sub.)
\(800+72=872\)
\(\sf Thus,\\= 872\)
What is 3x3/6 because I can’t figure it out
Answer:
its 48
Step-by-step explanation:
Answer: 1.5
Step-by-step explanation:
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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what kind of circle is used when graphing
Answer:
closed
Step-by-step explanation:
If it’s greater or less than or equal to its close
if its only greater than and less than it’s open circle
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
(4 points)
A) y = 3 over 2 x + 5
B) y = 2 over 3 x + 5
C) y = 3x + 2
D) y = 2 over 3 x + 2
Answer:
https://brainly.com/question/2574086b
Step-by-step explanation:
https://brainly.com/question/2574086
Answer:
B
Step-by-step explanation:
Given two points, the equation of the line may be determined by,
y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)
Substituting the given values,
y - 7 = ((9 - 7) / (6 - 3))(x - 3)
Simplification will yield to an answer of,
y = 2x/3 +5
Thus, the answer is the second choice.
Solve for the equation y/10 +2= −11.
Answer:
−11
Step-by-step explanation:
Subtract
2-2-2
from both sides of the equation 10+2=−11\frac{y}{10}+2=-11 10y+2=−1110+2−2=−11−2
Simplify:
Subtract the numbers 10=−13
Multiply all terms by the same value to eliminate fraction denominators:
10=−13\frac{y}{10}=-1310y=−1310⋅10=10(−13
Cancel multiplied terms that are in the denominator
Multiply the numbers:
=−130
Solution:
=−130
Need help with question
Answer:
f(2) = 1
x = 0
Step-by-step explanation:
f(2) = 1 since y=1 when x=2.
f(0) = -3 since x=0 when y=-3
solve the equation -16=a- 19
Answer:
a = 3
Step-by-step explanation:
Collect like-terms:
\( - 16 = a - 19\)
\(a = - 16 + 19\)
\(a = 3\)
Answer: 3
Step-by-step explanation: you take 19 from 3 giving you -16
Graph the solution set to this inequality.
35 - 1175 + 9
Answer:
−1131
Step-by-step explanation:
What is Nine million, six hundred thousand one hundred two in numbers
Answer:
9,600,102
:))))))))))))))))))))))))
Suppose that a poll taken 10 years ago found that 55% of parents spank their children. Suppose a recent poll of 500 adults with children finds that 242 indicated that they spank their children. Complete parts (a) and (b) below. (a) Assuming parents' attitude toward spanking has not changed since the original poll, how many of the 500 parents surveyed would be expected to spank their children?
Answer:
Of the 500 parents surveyed 275 would be expected to spank their children.
Step-by-step explanation:
Let the random variable X represent the number of parents who spank their children.
It is provided that, from previous studies, p = 55% of parents spank their children.
A random sample of n = 500 adults were selected.
The event whether a parent spank their children is independent of other parents.
The random variable X thus follows a Binomial distribution with parameters n = 500 and p = 0.55.
The expected value of a Binomial random variable is:
\(E(X)=np\)
\(=500\times 0.55\\=275\)
Thus, of the 500 parents surveyed 275 would be expected to spank their children.
From the 500 parents surveyed, the number of parents that will be expected to spank their children is 275 parents.
Number of parents surveyed = 500
Percentage of parents that spank their children = 55%
Therefore, from the 500 parents surveyed, the number of parents that will be expected to spank their children will be:
= 55% × 500
= 0.55 × 500
= 275
Therefore, the number of parents will be 275 parents.
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Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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What is time-and-a-half for $7.51?
Answer:
$15.2
Step-by-step explanation:
a department store has a jacket on sale for 114 which is 60% of the original price what is the difference between the original price and sale price
Answer:
$76
Step-by-step explanation:
Let the original price be ‘P’114 = 0.6PDivide both sides by 0.6190 = PTo find difference, subtract sale price from original price190 - 114 = $76HELPPPP MEEE
5x-7+3x and 3x-7+5x
equivalent or not equivalent
4y+9+3y and 3y+9+4y
equivalent or not equivalent
6z-2z+4 and 4+2z-6z
equivalent or not equivalent
Answer: See explanation
Step-by-step explanation:
1. 5x-7+3x and 3x-7+5x
5x - 7 + 3x
Collect like terms
5x + 3x - 7 = 8x - 7
3x-7+5x
Collect like terms
3x + 5x - 7 = 8x - 7
They're equivalent
2. 4y+9+3y and 3y+9+4y
4y + 9 + 3y
Collect like terms
4y + 3y + 9 = 7y + 9
3y + 9 + 4y
Collect like terms
3y + 4y + 9 = 7y + 9
They're equivalent
3. 6z-2z+4 and 4+2z-6z
6z - 2z + 4 = 4z + 4
4 + 2z - 6z = 4 - 4z
They're not equivalent
6x - 5 + 7x = 34 find variable
Answer:
x = 3
Step-by-step explanation:
6x - 5 + 7x = 34
Find x
______________
To solve this, we need to isolate x :
First add like terms :
6x + 7x
13x
13x - 5 = 34
Add 5 to both sides :
13x = 39
Divide 13 from both sides to get x alone :
x = 3
Answer:
x=3
Step-by-step explanation:
Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3