The equation that gives the tree's height at any time in slope-intercept form is y = (9/2)x + 5. Select 2nd option
How to write equation in slope-intercept form the tree's height at any time?
The slope-intercept form equation of a line can be given as y = mx + c
where m is the slope and c is the y-intercept
Let y and x represent the height and time respectively
slope (m) = y2-y1 / x2-x1
where x1 = 2, y1 = 14 and x2 = 4, y2 = 23 (from table)
m = 23-14 / 4-2 = 9/2
y = mx + c
14 = (9/2 )×2 + c
14 = 9 + c
c = 14-9 = 5
put m = 9/2 and c = 5 into y = mx + c. Thus, the equation will be:
y = (9/2)x + 5
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I need the value of x with an explanation
The value of x if The measure of the angle is = 5x + 4, The measure of the angle is = 146, The lines are parallel, is 6.
What are parallel lines?Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.
Given:
The measure of the angle is = 5x + 4
The measure of the angle is = 146
The lines are parallel,
Calculate the value of x as shown below,
5x + 4 = 180 - 146 (Parallel line theorem, corresponding angle, and supplementary angles)
5x = 34 - 4
x = 30 / 5
x = 6
Thus, the value of x is 6.
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10.
Manny took AABC and translated it according to (x,y)→(x+2,y-3).
What are the points of AA'B'C'?
the points of AA'B'C' is A'(4,0) B'(5,-1) C'(7,-2)
What are the points of AA'B'C'?Solution:
x, y = 0
(x + 2, y - 3) = 0
x + 2 = 0
x = -2
y - 3 = 0
y = 3
AABC
A(2,3) B(3,2) C(5,1)
A: (2,3) → (2+2,3-3) = (4,0)
B: (3,2) → (3+2,2-3) = (5,-1)
C: (5,1) → (5+2,1-3) = (7,-2)
AABC and A'B'C are equivalent. A student attempts to identify which of these straightforward transformations converted AABC into AA'B'C'. Points A and Bare are situated on sides CE and ED, respectively, in the CED as shown below. Given that AE = 3.75, AC = 5, EB = 4.5, and BD = 6, line segment AB is drawn. A"B"C" is a triangle congruent to ABC if T is the identity or a translation. A"B"C" is a triangle if T is a rotation by angle x but not a halfturn.To learn more about points refer to:
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The sum of two numbers is 26:Two-fifths of the first number plus
three-eighths of the second number is 10. Find the numbers.
The two numbers are x = 3.43 and y = 22.57.
What is a linear equation in two variables?
An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Let the first number be x and the second number be y. Then we can write the given information as a system of equations:
x + y = 26
(2/5)x + (3/8)y = 10
To solve this system, we can eliminate one of the variables by multiplying the first equation by 8 and the second equation by 5, then subtracting the resulting equations:
8x + 8y = 208
10x + 15y = 50
Subtracting these equations gives us:
-2x - 7y = -158
Dividing both sides by -7, we get:
x + y = 22.57
Substituting this back into the first equation, we get:
x + 22.57 = 26
Solving for x, we get:
x = 26 - 22.57
= 3.43
Substituting this back into the original equation x + y = 26, we get:
3.43 + y = 26
Solving for y, we get:
y = 26 - 3.43
= 22.57
Hence, the two numbers are x = 3.43 and y = 22.57.
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can someone solve: Layla wants to build a wooden box with a volume of 454545 cubic centimeters.
She started with a width of 3\text{ cm}3 cm3, start text, space, c, m, end text and a height of 3\text{ cm}3 cm3, start text, space, c, m, end text.
How long should Layla make the box? if someone could kindly do so, please put an answer AND comment by copying and pasting the answer! omg tysm
Layla can make the box up to 5centimeter long.
How to calculate volume of a box?Rectangles have a volume that is equal to their length, breadth, and height. If your box is a cube or a rectangular prism, all you need to know is its size in terms of length, width, and height. Then, to calculate volume, multiply them all together.V = l x w x h
Measure the box's length. If you look up at your box from the bottom, the top appears to be a flat rectangle with the longest side being the height. This number should be noted as "length." If you measure one side in inches, you must measure them all in inches. Be sure to use the same measurement for each side.Next to the length, gauge the box's breadth. The box's other edge, adjacent to the length, is its breadth. The breadth is the side that forms a "L" with the length when you look at one side of the box. This measurement should be noted as "width." The side that is shorter is always the width.The box's height should be measured. The distance from the top of the box to the ground is the last side you haven't measured. This measurement should be noted as "height." Add the three sides together and multiply. Remember that the formula for volume is V = length x width x height, therefore to calculate volume, simply multiply the three sides by one another. Include the measurement units you used as well, so you don't misinterpret your results.Units should be added to your volume. Volume is a measurement, but if you don't know the system used to measure it, your result won't signify anything. Your form of measurement cubed is the proper way to write out volume.Here it is given that,
volume= 45cm³
width= 3cm
height=3cm
volume = width × height × length
45cm³=3cm×3cm×length
45cm³=9cm²×length
length=45cm³÷9cm²
=5cm.
Hence, Layla can make the box up to 5centimeter long.
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at 2 p.m., two cars leave eagle river, wi, one headed east and one headed west. if the car traveling east averages 55 mph and the car traveling west averages 40 mph, when will the cars be 237.5 miles apart?
After 2.5 hours cars be 237.5 miles apart.
What is distance?
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common usage can refer to a physical length or an estimation based on other factors.
First to write equation for each car
[tex]d_1=r_1t_1 (east bound)\\d_2 = r_2t_2 (west bound)[/tex]
They both start at the same time, and I will stop them both when they are 165 mi apart.
So, [tex]t_1=t_2[/tex] call just t.
⇒
[tex]d_1 = r_1t\\d_2=r_2t[/tex]
[tex]t = \frac{d_1}{r_1} \\t= \frac{d_2}{r_2}[/tex]
⇒
[tex]\frac{d_1}{r_1} = \frac{d_2}{r_2} \\d_1r_2 = d_2r_1[/tex] ..(1)
We also know that
[tex]d_1 + d_2 = 237.5[/tex]
[tex]d_2 = 237.5 - d_1[/tex]
[tex]r_1 = 55, r_2 = 40[/tex]
So, equation (1) becomes,
[tex]40d_1 = 55d_2[/tex]
Plug the value of [tex]d_2[/tex].
[tex]40d_1 = 55(237.5 - d_1)\\40d_1 = 13,062.5 - 55d_1\\40d_1 + 55d_1 = 13062.5\\95d_1 = 13062.5\\d_1 = 137.5[/tex]
[tex]d_1 = 137.5 mi[/tex]
Now,
[tex]t = \frac{d_1}{r_1} = \frac{137.5}{55} = 2.5[/tex]
Hence, after 2.5 hours cars be 237.5 miles apart.
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Rewrite 16x4y3 − 32x3y4 using a common factor.
o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex .
What is vertex?In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.Vertex is a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet. The plural of a vertex is vertices.A line segment is a part of a line. A ray is a line segment that we can extend indefinitely. When two line segments or rays meet, they form an angle.To learn more about polygons refer to:
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a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?
Given restriction is an example of Time-of-day restrictions
The correct answer is an option (C)
In this question we have been given a friend tells you that tellers
are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.
We need to identify the type of restriction in this example.
We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.
This type of restrictions helps prevent unauthorized access outside that user's normal working hours .
Therefore, given restriction present in this example: Time-of-day restrictions
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The complete question is:
A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday
through Saturday. What is this restriction an example of?
A. User auditing
B. Least privilege
C. Time-of-day restrictions
D. Account verification
Please help me with my geometry work
In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.
What is a straight line?An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.
Definition of angle bisector.In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.
The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.
m∠2 = 40° the reason is YZ is the angle bisector of ∠s
∠s = m∠2 + m∠3
m∠2 = m∠3
therefore m∠2 = 40°
m∠1 + m∠2 + m∠3 + m∠4 = 180° the reason is XYQ is the straight line.
substitution of all values
m∠1 + 40° + 25° + 40° = 180°
m∠1 + 105° = 180°
m∠1 = 75° (straight line, substitution of all values )
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Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.
StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4.
StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4.
When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?
–1
–negative StartFraction one-half EndFraction
0
StartFraction one-half EndFraction. BRAINIEST
When she subtracts 4 from both side of the equation, then she gets the value of x is 0.
What is expression?Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.
Given that, Karissa begins to solve the equation,
1/2(x-14)+11 = 1/2x-(x-14)
1/2x-1/2(14)+11 = -1/2x-x+4
1/2x-7+11 = -1/2x+4
1/2x+4 = -1/2x+4
1/2x+1/2x = 4-4
x = 0
Hence, When she subtracts 4 from both sides, then x = 0
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I Agree With The Other Person
A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.
Answer: 99.
If you take 275 and subtract it by 176, it should be 99, if I’m correct.
This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph
The function that can be represented by this graph is defined as follows:
f(x) = 2x³ + x - 3.
How to define the function?
The function is defined looking at the features of the graph.
The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:
f(x) = ax^n + x - 3.
The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:
n = 3.
The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:
0 = a + 1 - 3
a = 2.
Which means that the function rule can be given by:
f(x) = 2x³ + x - 3.
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Ben has a barrel in his garden to collect rainwater. The barrel can hold less than 42 gallons of water. Which inequality represents this situation? Ow> 42 Ow< 42 w² 42 Ow≤ 42
Answer: The barrel can only hold less than 42 gallons of water, which means w<42.
Which method could you use to eliminate one
of the variables from the following system of
equations?
4x - 6y = 18
3x + 4y = 5
A. Multiply the first equation by 2 and the second
equation by 3. Then add the equations.
B. Multiply the first equation by 3 and the second
equation by 4. Then add the equations.
C. Multiply the first equation by 4 and the second
equation by -6. Then add the equations.
D. Multiply the first equation by 5 and the second
equation by 18. Then add the equations.
Answer:
B
Step-by-step explanation:
To eliminate one of the variables from a system of equations, we can multiply one or both equations by constants and then add the equations together. In this case, the correct method to use is to multiply the first equation by 3 and the second equation by 4, and then add the equations together. This will eliminate the y-variable from the system of equations. Thus, the correct answer is option B: multiply the first equation by 3 and the second equation by 4, and then add the equations together.
The correct is option B (i.e.Multiply the first equation by 3 and the second
the equation by 4. Then add the equations.)
multiplying the first equation by 3 and the second equation by 4:
12x - 18y = 54
12x + 16y = 20
subtracting the first equation from the second equation:
( 12x - 18y = 54) - (12x + 16y = 20)
-2y = -34
y = 17
substituting y = 17 in the first equation:
4x - 6(17) = 18
4x = 106
x = 26.5
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What is the area of a rectangle with a height of t ^ 2 + 7t + 6 and a width of 2t + 1
The area of a rectangle with given length and width is 2t³+15t²+19t+6 square units.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Given that, length of a rectangle =t²+7t+6 and width of rectangle =2t+1.
Here, area of a rectangle = (t²+7t+6)×(2t+1)
= t²(2t+1)+7t(2t+1)+6(2t+1)
= 2t³+t²+14t²+7t+12t+6
= 2t³+15t²+19t+6 square units
Therefore, area of a rectangle is 2t³+15t²+19t+6 square units.
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If anyone can help me ill give you 20 points !!!
Answer:
26
Step-by-step explanation:
Mr Ford has 78 cattle
so Mrs Metcalf has 78/3 = 26
Answer:
26
Explanation:
No of cattle Mr. Ford has= 78
Then, no of cattle Mrs. Metcalf will have:
= 78/3
=26
find the slope of the line thst passes through (10,2) and (1,3)
Answer: -7/1
Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.
The radius of a circle is 5 feet. What is the length of an arc that subtends an angle of
radians?
3л/2
5 ft
Give the exact answer in simplest form.
feet
The radius of a circle is 5 feet, 23.55 feet is the length of an arc.
What is arc length?The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.
The arc length formula may be used to get a circle's arc length from its radius and central angle.
The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.
Given that,
radius (r) = 5 feet
angle (θ) = 3π/2
Now as we know,
Arc length = radius x subtended angle in radians
or, Arc length = 5 feet x (3π/2 radians)
or, Arc length = 15π/2
or, Arc length = 23.55 feet
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if anyone can help me solve this i will give you 20 points!!
Answer:137
Step-by-step explanation:
In triangle xyz, m∠y = 38.25° and m∠z = 74.3°. determine the measure of the exterior angle to ∠x. 152.05° 112.55° 98.60° 62.05°
Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.
How to Apply the Exterior Angle Theorem?In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.
In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:
Measure of angle Y = 38.25°
Measure of angle Z = 74.3°
Therefore:
The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z
Substitute
The measure of the exterior angle to angle X = 38.25° + 74.3°
The measure of the exterior angle to angle X = 112.55°
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Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?
The box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.
Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.
Here, minimum is 13
Maximum is 16
Median is 14
Lower quartile range(Q1) is 13.5
Upper quartile range(Q3) is 15.5
Therefore, the box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
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What is the percent of change of 3.25 centimeters to 2.95 centimeters
The percentage of change is 10.17%.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given are the two measures 3.25 centimetres and 2.95 centimetres
The percentage change, of a quantity, is the ratio of the difference in the quantity to its initial value multiplied by 100.
Therefore, The percentage of change = [(3.25-2.95)/3.25]x100
= 0.3/3.25x100
= 10.17%
Hence, the percentage change = 10.17%
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Can someone help me out with this questions please?!?!
The simplified form of inequality -3x - 1 ≥ 20 is x ≤ -7.
The correct option is option (A).
What is number line?A number line is a line on which numbers are pointed at some intervals, it is used to show numerical operations.
The given inequality is,
-3x - 1 ≥ 20.
To find the right number line from the options
Solve the inequality,
Add 1 to both the sides,
-3x -1 + 1 ≥ 20 + 1
-3x ≥ 21
-x ≥ 21 / 3
-x ≥ 7
x ≤ -7
The value of x are less than or equal to -7. Implies that, in number line graph close circle.
The number line in option (A), is correct option.
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If anyone can help me on the #14 please
4(4÷2+4)
Answer:24
Step-by-step explanation: 4(4÷2 + 4) = 24/1 = 24
Spelled result in words is twenty-four.
Divide: 4 / 2 = 2
Add: the result of step No. 1 + 4 = 2 + 4 = 6
Multiple: 4 * the result of step No. 2 = 4 * 6 = 24
This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.
Answer:
24
Step-by-step explanation:
We have to solve this according to BODMAS Theorem.
That is,
B ⇒ Brackets
O ⇒ Of
D ⇒ Division
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
Let us solve it now.
4 ( 4 ÷ 2 + 4 )
4 ( 2 + 4 )
4 × 6
24
an outlier will have an effect on:
1) quartile III
2) the mean
3) the mode
4) the interquartile range
the mean
the mean is the average, having an outlier will make the average significantly higher or lower than accurate.
The answers are
A. Statement: FDC≈FAB Reason: SAS
B. Statement FDC~FBA Reason: AA
C. Statement FDC≈FBA Reason: SAS
D. Statement FDC~FAB Reason: AA
Can I get an answer as well as how it makes sense?
Answer:
Step-by-step explanatihelpson:
is c hope it
Is this statement true or false?
TRUE: The given condition is correct that m ≤ 10 and m > 4.
Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.For the given statement;
m ≤ 10 and m > 4, the number for the value of m be;
m = 5, 6, 7, 8, 9, 10.
Thus, the given condition is correct that m ≤ 10 and m > 4.
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answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.
There are 90000 palindromes 10-digit numbers.
In this question we need to find the number of 10-digit integers are there which are palindromes.
We know that a palindrome is a number that reads the same forward and backward.
The numbers that remain same even if they are reversed.
For exa., 131, 5225
We can observe that for even digit palindromes first half should be equal second half in reversed order.
we can generalize it as variables:
abcdeedcba, for a not equal to 0
So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.
There are 10 digits in total (0 - 9)
Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)
The second, third, fourth and fifth digit has all 10 choices.
So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.
Therefore, the total 10-digit numbers which are palindromes = 90000
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To find the mass in grams, ______ the number of kilograms by the unit rate, _____ grams per kilogram.
PLEASE HELP
Answer:
To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.
Explanation:
For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.
URGENT
pls answer soon
The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.
Given is a figure, in which, lines d, e and lines f, g are parallel and h is a transversal.
In figure, (refer to figure attached)
ABC is a triangle,
Therefore, according to angle sum property of a triangle,
m ∠ 1 + 58° + 54° = 180°
m ∠ 1 = 180° - 112°
m ∠ 1 = 68°
Since, f║g
m ∠ 2 + 54° = 180° (consecutive angles between parallel line are supplementary)
m ∠ 2 = 126°
Similarly, d║e
m ∠ 2 + m ∠ 3 = 180°
m ∠ 3 = 180° - 126°
m ∠ 3 = 54°
Hence, The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°
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