The solution indicates 40 positive three-digit integers of this kind are available.
What are Positive integers?The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.
Which of these integers are negative?Left of zero on the number line, a negative number is an integer. It is not zero, though.
According to the given information:Any solution x will mod 23 will also have x+23n as a solution, for some integer n.
Since;
900/23 = 39 3/23,
we know:
There are 39 or 40 three-digit integers of this form.
As it happens,
100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,
hence 40 solutions to the equation.
The equation reduces, mod 23, to
10x = 11
Its solutions are x = 23n +8.
This shows There are 40 three-digit positive integers of this form.
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Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate?
a. 0.96 percentage points
b. 0.40 percentage points
c. 0.25 percentage points
d. 0.71 percentage points
please select the best answer from the choices provided a b c d
0.71 percentage points greater is wyatt’s effective interest rate than his nominal interest rate.
What is intrest?Interest is a fee paid by a borrower to a lender for the use of borrowed money. It is calculated as a percentage of the amount borrowed, and is usually paid periodically at intervals. Interest is generally considered to be a form of compensation for the time and risk taken by the lender in providing a loan or other form of credit.
The effective interest rate is calculated by taking the (1 + nominal interest rate/number of compounding periods per year) to the number of compounding periods per year power minus 1. In this case, the effective interest rate would be 0.1362 x (1 + 0.1362/4)^4 - 1, which is 0.1439 or 14.39%. The difference between the nominal interest rate of 13.62% and the effective interest rate of 14.39% is 0.71 percentage points.
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STEM Osmium is the densest chemical element. A cubic centimeter of osmium has a mass of about 23 grams. If a chemist has 2,530 grams of osmium, about how many cubic centimeters does the chemist have?
Answer: To solve this problem, we can use the fact that a cubic centimeter of osmium has a mass of about 23 grams and the information provided about the chemist's amount of osmium.
First, we can divide the total mass of osmium by the mass of a cubic centimeter of osmium to find out how many cubic centimeters of osmium the chemist has. The equation would look like this:
2,530 grams / 23 grams/cubic centimeter = 110 cubic centimeters
So, the chemist has approximately 110 cubic centimeters of osmium.
It's worth mentioning that an exact value would require additional information as 23 grams per cc is an approximate value and also any impurities or loss of material in the sample also effect the total mass.
Step-by-step explanation:
F the altitude of a triangle meet at one of the triangles vertices then the triangle is
When the given altitude of the triangle meet at one of the vertices of the given triangle then it represents the option 1. right angled triangle.
As given in the question,
Given is the altitude of the triangle.
Given Condition is :
Altitude of the triangle meet at one of the vertices of the triangle.
⇒ This means altitude is representing the height of the triangle.
Height is always represented by perpendicular line.
⇒One of the side having altitude forms a angle of measure 90°.
⇒Given triangle is right angled triangle.
Therefore, when the altitude of the triangle meet at one of the vertices of the given triangles it represents the option 1. right angle triangle.
The above question is incomplete, the complete question is :
If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
1) a right triangle
2) an acute triangle
3) an obtuse triangle
4) an equilateral triangle
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Which equation has 3 as a solution set *?
The equation 3x - 9 = 0 has 3 as a solution out of all the given equations in the options.
Check the solution of equation 3x - 9 = 0
3x - 9 = 0
3x = 9
x = 3
Check the solution of equation 4x - 3 = 0
4x - 3 = 0
4x = 3
x = 3/4
Check the solution of equation 5x - 10 = 0
5x - 10 = 0
5x = 10
x = 10/5
x = 2
Check the solution of equation 7x - 49 = 0
7x - 49 = 0
7x = 49
x = 49/7
x = 7
Thus, only 3x - 9 = 0 satisfy the solution x = 3.
Hence, the correct option is A.
--The given question is incomplete, the complete question is
''Which equation has 3 as a solution set?
A. 3x - 9 = 0
B. 4x - 3 = 0
C. 5x - 10 = 0
D. 7x - 49 = 0''--
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Put one pair of bracket into this calculation to make it correct.
7 x 5 - 2 + 3 = 42
The equation becomes true if we put brackets in the following way:
7x(5 - 2 + 3) = 42
Where do we need to put the bracket?Here we have the expression:
7x5 - 2 + 3 = 42
And we want to find where we need to put brackets in such a way that the equation becomes true.
If we solve the equation as it is, we will get:
7x5 - 2 + 3 = 42
35 - 2 + 3 = 42
36 = 42
Now, let's return to the equation:
7x5 - 2 + 3 = 42
If we put one pair of brackets that includes from the 5 to the 3, we will get:
7x(5 - 2 + 3) = 42
7x(4) = 42
42 = 42
So the equation becomes true.
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You are given that $x$ is directly proportional to $y^3$, and $y$ is inversely proportional to $\sqrt{z}$. If the value of $x$ is 3 when $z$ is $12$, what is the value of $x$ when $z$ is equal to $75$
The value of x when z is equal to 75 is [tex]$3\sqrt{75}$[/tex]
To calculate the value of $x$ when $z$ is equal to $75$, first rewrite the given proportionality as equations.
When x is directly proportional to [tex]$y^3$[/tex], the equation is given by:
[tex]$x = ky^3$[/tex]
where k is the constant of proportionality.
Similarly, when y is inversely proportional to [tex]$\sqrt{z}$[/tex], the equation is given by:
[tex]$y = \frac{m}{\sqrt{z}}$[/tex]
where m is the constant of proportionality.
Substituting the second equation into the first equation gives:
[tex]$x = k\left(\frac{m}{\sqrt{z}}\right)^3$[/tex]
Since the value of x is 3 when z is 12, the equation can be written as:
[tex]$3 = k\left(\frac{m}{\sqrt{12}}\right)^3$[/tex]
Rearranging gives:
[tex]$k = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}$[/tex]
Substituting this value of k into the original equation gives:
[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{m}{\sqrt{z}}\right)^3$[/tex]
Substituting z as 75 gives:
[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{m}{\sqrt{75}}\right)^3$[/tex]
Simplifying gives:
[tex]$x = \frac{3}{\left(\frac{m}{\sqrt{12}}\right)^3}\left(\frac{\sqrt{12}}{\sqrt{75}}\right)^3m^3$$x = \frac{3m^3}{\left(\frac{m}{\sqrt{75}}\right)^3}$$x = \frac{3m^3\sqrt{75}}{m^3}$$x = 3\sqrt{75}$[/tex]
Therefore, the value of x when z is equal to 75 is [tex]$3\sqrt{75}$[/tex].
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An experiment was conducted to see the effect altitude had on the boiling point of on Effect of Altitude on Boiling Point of Water Boiling Point (°F) 210- 200- 190+ 180- 170- 160- + 0 5,000 10,000 15,000 20,000 25,000 Altitude above Sea Level (ft) Which statement best explains the relationship between altitude and the boilin OA. There is a strong negative correlation between altitude and water's boiling point.
The option that best explains the relationship between altitude and the boiling point is; A. There is a strong negative correlation between altitude and water's boiling point.
How to interpret the correlation relationship?In correlation coefficient, we know that a positive correlation occurs when both x and y values increase at the same time while negative correlation occurs when y value decreases as x value increases.
Now, we see from the given graph that y-values are decreasing with increasing x-values and as such this is a negative correlation.
Now, we want to determine whether it is a strong or weak correlation.
The scatterplot is close to being a straight line and as such the correlation coefficient will be close to - 1 which makes it a strong negative correlation.
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Answer: A is correct
Step-by-step explanation:
took the test
6. A train travels 283. 8km in 4. 4 hours; how far does it travel in
(a) 1 hour
(b) 2. 5 hour
If a train travels 283. 8km in 4. 4 hours, the train travels 71km in 1 hour and the train travels 114.5km in 2.5 hours.
Based on the assumption that the train is traveling at a constant speed throughout its journey.
To find the speed the train travels , we divide the total distance by the total time:
speed = 283.8km/ 4.4 hours
speed = 64.5 km/h
To find the distance the train travels , we multiply the speed of the train by the total time:
Distance travelled in 1 hour = 64.5 km/ hour × 1 hour
Distance travelled in 1 hour = 64.5 km
Distance travelled in 2.5 hours = 64.5 km/hour x 2.5 hours
Distance travelled in 2.5 hours = 161.25km
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Find the value of StartFraction P (t) Over A EndFraction for this problem. StartFraction P (t) Over A EndFraction
The value of StartFraction P (t) Over A EndFraction for this problem will be 20
Take the value of x that they provide you and plug it into the problem for these kinds of difficulties.
The fraction's numerator is the highest number. It stands in for the entire thing that must be divided.
A fraction's denominator is the value at the bottom. It shows how many equally sized pieces are divided up in the object.
adding 3 to the formula:
6/(3) + 2(3)^2 —> use PEMDAS. Apply the 32 exponents first, followed by left-to-right multiplication and division, and finally addition.
6/x + 2x^2,
when x = 3
=20
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The question the incomplete the full question:
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
Answer:
The second part is 0.8 and B. About 1,845 years.
Step-by-step explanation:
:)
Pepito bought 2 t-shirt at 149.95 each and a pair of pants for php 30.75, if her money was a 200 pesos bill. How much was her change?
If pesos had it would be so pesos have 169.25 dollars left 200-30.75=169.25
5. Suppose you went on vacation but forgot your smart phone
charging cable. Your phone battery died after two full days
(48 hours) of use. This situation is modeled by the equation
f(h) = 48, where h is the hours of cell phone use and
f(h)is the percentage of battery life left.
What is the upper bound of the parameter h?
hrs
What is the lower bound of the parameter h? •
hrs
The upper and lower bounds of the parameter h is found to be 0 and 1 respectively.
What is upper and lower bound of a function?
A number U serves as an upper bound for a function f, meaning that for any x, f(x) ≤ U. A number L serves as a function's lower bound, ensuring that for all x, f(x) ≥ L.
Given,
[tex]f(h) = \frac{48-h}{48}[/tex]
where f(h) = Percentage of battery left
h = Hours of cell phone use
Lower Bound of parameter h,
h = 0 ( When percentage is 100%)
f(h) = [tex]\frac{48 - 0}{48}[/tex] = 1
Upper bound of parameter h,
h = 48 (When percentage is 0%)
f(h) = [tex]\frac{48-48}{48}[/tex] = 0
Therefore the upper bound of h is 0 and lower bound of h is 1.
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What is the value of 8 power 8?
Answer:16,777,216
Step-by-step explanation:
BUILD PERSEVERANCE Part A Simplify the expression. (8x + 6) + (5 − x) − 2 (3x+1)
The expression is x + 9.Generally speaking, an expression is at its simplest form when it is most usable.
What is its most basic form?Generally speaking, an expression is at its simplest form when it is most usable. as in this: 5x + x 3.To simplify an expression, create a similar expression devoid of any identical terms. Therefore, we shall rephrase the expression using the fewest number of terms possible.Determine the domain before you can simplify a rational expression.The collection of all possible inputs to a function, including all potential values for the variables, that enable the function to function.Explanation:
8x + 6+5 - x - 6x - 2
= x + 9.
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How do I solve/graph 2x + 3y <12
The graph has plotted and attached below
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
2x + 3y <12.
Here The graph have plotted and attached below.
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The ages of the players of the junior football team in years are 11,11,13,13,12,13,11,12,10,13 find the median age
Answer:
12
Step-by-step explanation:
11, 11, 13, 13, 12, 13, 11, 12, 10, 13
Put the numbers in ascending (increasing) order.
10, 11, 11, 11, 12, 12, 13, 13, 13, 13
If there is an odd number of numbers, the median is the number in the middle.
There are 10 numbers which is an even number of numbers.
For an even number of numbers, the median is the mean of te two middle numbers.
10, 11, 11, 11, 12, 12, 13, 13, 13, 13
The two middle numbers are 12 and 12.
The mean of 12 and 12 is (12 + 12)/2 = 12
Answer: 12
Factorize 4x squared - 25y squared
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
here we go~
[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} - 25y {}^{2} [/tex]
[ identity : a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: (2x) {}^{2} - (5y) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 5y)(2x - 5y)[/tex]
What additional information would be necessary to determine sin A?
We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.
We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.
Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent
We must now locate a side opposing the angle A or the hypotenuse.
As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.
Finally, the length of BC is required because it is the side opposite A.
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The complete question should be like:
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
Please help me with my HW
Answer: 4k^7
Step-by-step explanation:
Reduce 22/154
to its lowest form.
22/154=11/77=1/7
1/7 is the lowest form
can somebody please help me solve this question:
you are going to climb the roof of your two-story house using a 15-foot ladder. If the safety directions say that you can put the ladder only 2 feet from the house, how far up will you be able to reach on your house?
thanks
Using Pythagoras theorem to solve the right angle triangle, the height of the building is 14.87 feet
What is Pythagoras TheoremPythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as an equation:
x² = y² + z²
where x is the hypothenuse and y, z are the legs of the right angle triangle.
To determine the height of the building in which the ladder will reach, we have to use Pythagoras theorem for that.
x² = y² + z²
15² = 2² + z²
z² = 15² - 2²
z² = 221
z = √221
z = 14.87 feet
The height is 14.87 feet
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Define an exponential function, f(x), which passes through the points (0,125) and (3,8). Enter your answer in the form a*b^x
Answer:
Step-by-step explanation:
put (0, 125) in a*b^x, we get a = 125, then put (3,8) in 125*b^x, we get 125*b^3=8
b^3=8/125
b=2/5
then the answer is 125*(2/5)^x
The diagram shows a cuboid with a volume of 42 cm³. K ? cm Work out the missing length of the cuboid. 2 cm 3 cm
Using the formula for the volume of cuboid that is the product of length, breadth and height, The answer is 7cm.
What is a cuboid?A cuboid is a three-dimensional shape with six rectangular faces, three of which are pairs of congruent squares and the other three are rectangles. It is also known as a rectangular prism. The opposite sides of a cuboid are parallel and equal in area. The length, width, and height of a cuboid are three of its measures of size.
What do you mean by volume and formula for volume of cuboid?The volume of a three-dimensional object is a measure of the amount of space it occupies. It is typically measured in units of cubic units, such as cubic centimeters (cm^3) or cubic meters (m^3). The formula for the volume of a cuboid is length x width x height. For example, if a cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm, its volume would be 5 x 3 x 2 = 30 cubic centimeters. In general, the volume of a three-dimensional object can be found by multiplying the area of its base by its height.
length = 2cm
breadth =3cm
volume = 42 cm³
volume = l*b*h
42 = 2*3*h
h= 42/6 =7cm
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he owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph shows the amount of water (in liters) in the pond versus time (in minutes). Find the domain and the range of the function shown. Amount of water (liters) y1503004506007509001050120013501500x204060801001201401601800 Time (minutes)
The domain and range of the the function are -
Domain → [0, 180]
Range → [600, 1050]
What is the domain and range of function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is that the owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph {attached below} shows the amount of water (in liters) in the pond versus time (in minutes).
Domain is the set of all possible {x} values. We can write -
Domain → [0, 180]
Range is the set of all possible {y} values. We can write -
Range → [600, 1050]
Therefore, the domain and range of the the function are -
Domain → [0, 180]
Range → [600, 1050]
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11,778 divide 26
Show work pls
Answer:
453
Step-by-step explanation:
To perform long division of 11,778 by 26, we follow these steps:
452
_____
26 ) 11,778
-104
------
157
156
----
21
Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.
Hope this helps <3
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The linear function F is defined as f(x) = -2x + 3. Consider the graph of y = f(x) in the xy-Plane.
If the function g(x) = f (x) + k, where k = 2, describe the changes to the slope and y-intercept of this transformation.
The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:
The slope remains constant.The intercept is increased by two.What is the definition of a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.The function f(x) in this problem is given as follows:
f(x) = -2x + 3.
Meaning that it has a slope of -2 and and intercept of 3.
The function g(x) is defined as follows:
g(x) = f(x) + k.
Since k = 2, we have that:
g(x) = f(x) + 2
g(x) = -2x + 3 + 2
g(x) = -2x + 5.
Hence the slope and the intercept are given as follows:
Slope of -2, which is the same as f(x).Intercept of 5, which is an increase of 2 compared to the intercept of f(x).More can be learned about linear functions at https://brainly.com/question/24808124
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A=?cm
What is the total area of the tiles Felix needs to buy?
Therefore , the solution of the given problem of surface area comes out to be Felix is required to purchase 10 parallelogram-shaped tiles for an area totaling 80cm2.
Definition of surface areaIts surface area is a gauge of the space it takes up overall. A three-dimensional shape's entire environment is considered part of its surface area. Surface area is the total area of a thing. By adding up the faces on each of its six rectangle sides, a cuboid's volume of water can be calculated. The following formula could be used to calculate the dimensions of the box: Surface is the same for 2lh, 2lw, and 2hw (SA). The muti shape's surface area serves as a representation of the entire region.
Here,
Given: One parallelogram-shaped tile has a base of 4 cm and a height of 2 cm.
4 x 2 cm is the area of a single parallelogram-shaped tile.
8 cm2 is the size of one parallelogram-shaped tile.
The total area of the five black and five white tiles is 10 8cm2.
Total tile area is 80cm2 for the 5 black and 5 white tiles.
Felix is therefore required to purchase 10 parallelogram-shaped tiles for an area totaling 80cm2.
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3. 2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2
green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance
of capturing the ball.
a) You watch a roulette wheel spin 9 consecutive times and the ball lands on a red slot each time. What is
the probability that the ball will land on a red slot on the next spin?
(please round to four decimal places)
b) You watch a roulette wheel spin 320 consecutive times and the ball lands on a red slot each time. What
is the probability that the ball will land on a red slot on the next spin?
x (please
round to four decimal places)
The probabilities for the game of roulette that involves spinning a wheel with 38 slots, for a and b, are 0.4737, or 18/38, or 47.37%.
The following are the rationales:
(a) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, the probability of the ball landing on a red slot on the next spin is also 18/38, or 0.4737, or 47.37%.(b) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, even though the ball has landed on a red slot 300 consecutive times, the probability of the ball landing on a red slot on the next spin is still 18/38, or 0.4737, or 47.37%Learn more about probability here: brainly.com/question/25839839
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Given the table of values, determine the the constant of proportionality, then write the equation of the proportion.
The constant of proportionality is 9 and equation of the proportion.
is y= 10x.
What is Constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality.
Given:
As, we know using the Constant of Proportionality
y = kx
or, k = y/x where k is Constant of Proportionality.
Then, from the table we have
k = 90/9
k= 10
Thus, y = kx
or, y= 10x
Hence, the equation of the proportion is y= 10x.
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What is dual expression?
The Dual of Boolean Expression is defined as an expression that is obtained by interchanging the addition and multiplication and interchanging the 0's and 1's .
What is a Boolean Expression ?
The Boolean Expression is defined as an logical statement which results in the Boolean value which can either be True or False.
Sometimes, the synonyms is used to express statement such as ‘Yes’ for ‘True’ and ‘No’ for ‘False’. and also, 1 and 0 are used for digital circuits for True , False .
If in the Boolean expression , the addition and multiplication are interchanged and the binary 0 and 1 are also interchanged then the resulting expression will be called as a Dual Of Boolean Expression .
The given question is incomplete , the complete question is
What is Dual Boolean Expression ?
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Becky says that line c and d are parallel
what must true for Becky to be correct
Answer:
c) m <2 =m <3
Step-by-step explanation:
since the angles 2 and 3 are equal then they should be alternate angles
then c and d are parallel lines