Answers
Answer: m∠PNO =16.25° , m∠ONM=57.5°
Step-by-step explanation:
Given: Circle k(O), m NM =65° ∠PNO≅∠PMO
To find: m∠PNO, m∠ONM.
Since, central angle is equal to the measure of minor arc.
⇒∠MON = m NM =65°
In Δ MON , ON = OM [Radii of circle]
⇒ ∠ONM = ∠NMO (i) [Angle apposite to equal side of triangle are equal]
In Δ MON , ∠ONM + ∠NMO+∠MON =180°
⇒ ∠ONM + ∠ONM+65°=180° [from (i)]
⇒ 2∠ONM=115°
⇒ ∠ONM=57.5°
⇒ ∠ONM = ∠NMO =57.5°
Also, an inscribed angle is half of a central angle that subtends the same arc.
⇒∠MPN =half of∠MON
= [tex]\dfrac{65^{\circ}}{2}=32.5^{\circ}[/tex]
Also, ∠PNO≅∠PMO [Given]
⇒∠PNO =∠PMO
⇒ ∠PNO +∠ONM =∠PMO+∠NMO [∵∠ONM = ∠NMO]
⇒∠PNM=∠PMN
In ΔNPM
⇒ ∠MPN +∠PNM+∠PMN = 180°
⇒ 32.5° +∠PNM + ∠PNM= 180°
⇒ 2(∠PNM)= 147.5°
⇒ ∠PNM = 73.75°
Also, ∠PNM = ∠PNO+∠ONM
⇒73.75°= ∠PNO+57.5°
⇒ ∠PNO =16.25°
Hence, m∠PNO =16.25° , m∠ONM=57.5°
Answer:
Answer: m∠PNO =16.25° , m∠ONM=57.5°
Step-by-step explanation:
Given: Circle k(O), m NM =65° ∠PNO≅∠PMO
To find: m∠PNO, m∠ONM.
Since, central angle is equal to the measure of minor arc.
⇒∠MON = m NM =65°
In Δ MON , ON = OM [Radii of circle]
⇒ ∠ONM = ∠NMO (i) [Angle apposite to equal side of triangle are equal]
In Δ MON , ∠ONM + ∠NMO+∠MON =180°
⇒ ∠ONM + ∠ONM+65°=180° [from (i)]
⇒ 2∠ONM=115°
⇒ ∠ONM=57.5°
⇒ ∠ONM = ∠NMO =57.5°
Also, an inscribed angle is half of a central angle that subtends the same arc.
⇒∠MPN =half of∠MON
=
Also, ∠PNO≅∠PMO [Given]
⇒∠PNO =∠PMO
⇒ ∠PNO +∠ONM =∠PMO+∠NMO [∵∠ONM = ∠NMO]
⇒∠PNM=∠PMN
In ΔNPM
⇒ ∠MPN +∠PNM+∠PMN = 180°
⇒ 32.5° +∠PNM + ∠PNM= 180°
⇒ 2(∠PNM)= 147.5°
⇒ ∠PNM = 73.75°
Also, ∠PNM = ∠PNO+∠ONM
⇒73.75°= ∠PNO+57.5°
⇒ ∠PNO =16.25°
Hence, m∠PNO =16.25° , m∠ONM=57.5°
Step-by-step explanation:
Related Questions
Please answer this question now
Answers
Answer:
If it's not too late by now, the answer is 19.9 [tex]mm^{2}[/tex]
The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room.
Answers
Answer:
Length = 25 cmBreadth = 10 cmStep-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be '[tex]2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x[/tex]'
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = [tex]2(l + b)[/tex]
plug the values
[tex]70 = 2(2.5x + x)[/tex]
Collect the like terms
[tex]70 = 2 \times 3.5x[/tex]
Calculate the product
[tex]70 = 7x[/tex]
Swap the sides of the equation
[tex]7x = 70[/tex]
Divide both sides of the equation by 7
[tex] \frac{7x}{7} = \frac{70}{7} [/tex]
Calculate
[tex]x = 10 \: cm[/tex]
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = [tex]2.5x[/tex]
Plug the value of X
[tex] = 2.5 \times 10[/tex]
Calculate the product
[tex] = 25 \: cm[/tex]
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below: Gymnastic Scores Score Number of Students 0 1 1 1 2 2 3 6 4 4 5 3 6 2 Based on the table, what is the mean gymnastic score? 2.5 3.5 5.2 9.4
Answers
Answer:
3.5
Step-by-step explanation:
I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish
The mean for gymnastic score is, 3.5
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.
Now, We get;
The mean for gymnastic score is,
= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19
= 3.47
= 3.5
Thus, The mean for gymnastic score is, 3.5
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
____________________________________________________________________
Bennett brings 3 gallons of water to his football game. His teammate, Jordan, brings 3 times as many gallons of water as Bennett. If one gallon of water contains 128 fluid ounces, how many ounces of water did Bennett and Jordan bring to their football game?
Answers
Answer:
It could be 768 fl. oz I think?
Step-by-step explanation:
Bennett has 3 gallons of water and Jordan has 3 times as many gallons as bennett
Let's calculate how many gallons do Jordan has
3*3 = 9Jordan has 9 gallons of water
every gallon of water contains 128 fluid ounces
BenettBenett has 3 gallons
so the fluid ounces are given by : 3*128=384
Benett has 384 ounces
JordanJordan has 9 gallons so 9*128 = 1152
so Jordan has 1152 fluid ounces
can someone please help me?
Answers
Answer:
-1Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( -2 , 7 ) -----> ( x1 , y1 )
B ( 2 , 3 )-------> ( x2 , y2)
Now, let's find the slope:
Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]
Calculate the difference
[tex] = \frac{ - 4}{2 - (2)} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = \frac{ - 4}{2 + 2} [/tex]
Add the numbers
[tex] = \frac{ - 4}{4} [/tex]
Any expression divided by its opposite equals -1
[tex] = - 1[/tex]
Hope this helps..
Best regards!!
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A. add x, subtract 1, divide by 4
B. add x, subtract 4, divide by 4
C. subtract 3x, subtract 4, divide by 4
D. subtract 3x, subtract 4, divide by -4
E. subtract 1, add x, divide by 4
Answers
Answer :
A. add x, subtract 1, divide by 4
D. subtract 3x, subtract 4, divide by -4
Step-by-step-explanation : Further explanation
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+3x-1=-x+4-1\\Simplify\\3x=-x+3\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\3x+x=-x+3+x\\Simplify\\4x=3\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4x}{4}=\frac{3}{4}\\x=\frac{3}{4}[/tex]
I hope it helps:)
PLEASE HELP ME If ƒ(x) = -x and ƒ(-3), then the result is: -3. 0. 3. None of these choices are correct.
Answers
Answer:
The answer is 3.
Step-by-step explanation:
This is because f(-3) = -(-3) = 3.
A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a .
Answers
Answer:
B. The given value is a for the because the data collected represent a . statistic year sample
Step-by-step explanation:
A population is the total of similar items that are of interest to the researcher.
Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.
A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.
In this scenario the population is the whole year, and the sample is 41 days.
So the mean derived from the sample is statistic of sample from the year.
This can be used to make deductions about the whole year.
Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o
Answers
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
Use technology to find the line of best fit for the following data. (−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6) When the equation of the line is in the form y=mx+b, what is the value of b?
Answers
Answer: Intercept (b) = - 2.2567
Step-by-step explanation:
(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6)
Using the online regression calculator :
ŷ = -0.60205X - 2.2567
y is the predictor variable
X - the independent variable
0.60205 = slope or gradient
- 2.2567 = intercept (b) where the line best fit cross the y-axis.
The linear regression line is made using the least-squares method. The value of b is -2.2567.
How does linear regression work?Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least-squares method.
Given the points of the data(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6).
Now, Since the question states about using the technology, therefore, if we use the online regression calculator:
ŷ = -0.60205X - 2.2567
y is the predictor variable
X - the independent variable
-0.60205 is the value of m which is the slope or gradient of the regression line, while -2.2567 is the value of the intercept of the regression line.
Hence, the value of b is -2.2567.
Learn more About Linear Regression Line:
https://brainly.com/question/14313391
#SPJ2
HELLLPPPP I need a explication on whether or not these angle relationships are possible
Answers
Answer:
Step-by-step explanation:
5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180
Answer:
no, the values would be above 180º
Step-by-step explanation:
if...
(4x - 9) + (2x + 3) + y = 180
(5x + 30) + y = 180
then...
(4x - 9) + (2x + 3) = 5x + 30
so...
6x - 6 = 5x + 30
x = 36
plug it in.
4(36) - 9 = 135
2(36) + 3 = 75
already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.
4^3/4 x 2^x = 16^2/5
work out the exact value of x
Answers
Answer:
x = 1/10Step-by-step explanation:
[tex] {4}^{ \frac{3}{4} } \times {2}^{x} = {16}^{ \frac{2}{5} } [/tex]
In order to solve the equation express each of the terms in the same base .
in this case we express each of the terms in base 2
That's
[tex] {4}^{ \frac{3}{4} } = {2}^{2 \times \frac{3}{4} } = {2}^{ \frac{3}{2} } [/tex]
And
[tex] {16}^{ \frac{2}{5} } = {2}^{4 \times \frac{2}{5} } = {2}^{ \frac{8}{5} } [/tex]
So we have
[tex] {2}^{ \frac{3}{2} } \times {2}^{x} = {2}^{ \frac{8}{5} } [/tex]
Since the left side are in the same base and are multiplying, we add the exponents
[tex] {2}^{ \frac{3}{2} + x } = {2}^{ \frac{8}{5} } [/tex]
Since they have the same base we can equate them
That's
[tex] \frac{3}{2} + x = \frac{8}{5} [/tex]
[tex]x = \frac{8}{5} - \frac{3}{2} [/tex]
[tex]x = \frac{1}{10} [/tex]
Hope this helps you
The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?
Answers
Answer:
[tex]f(x) = (x+1)^2 +2[/tex]
Step-by-step explanation:
Well you complete the square and get,
[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]
Then you use the binomial formula to get,
(x + 1)^2 + 2
Thus,
f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.
Hope this helps :)
In a certain apartment building, apartments can come with 2, 3, or 4 bedrooms; they can have 1 or 2 bathrooms; and they can be located on the lower, middle, or upper level. How many different types of apartments are possible if any number of bedrooms, bathrooms, and locations can be combined?
Answers
Answer:
18 types of apartments
Step-by-step explanation:
There are three options for bedrooms (2, 3, or 4), two options for bathrooms (1 or 2), and three options for location (lower, middle, or upper level).
The number of possible different apartments is:
[tex]n=3*2*3\\n=18\ types[/tex]
18 types of apartments are possible.
Given that
7
x
−
2
y
=
35
Find
y
when
x
=
−
9
Answers
Answer:
y = - 49
Step-by-step explanation:
Given
7x - 2y = 35 ← substitute x = - 9 into the equation
7(- 9) - 2y = 35, that is
- 63 - 2y = 35 ( add 63 to both sides )
- 2y = 98 ( divide both sides by - 2 )
y = - 49
Answer:
[tex]\boxed{y = -49}[/tex]
Step-by-step explanation:
=> [tex]7x-2y = 25[/tex]
Given that x = -9
=> [tex]7(-9)-2y = 35[/tex]
=> [tex]-63 -2y = 35[/tex]
Adding 63 to both sides
=> [tex]-2y = 35+63[/tex]
=> [tex]-2y = 98[/tex]
Dividing both sides by -2
=> [tex]y = 98/-2[/tex]
=> [tex]y = -49[/tex]
What is the range of the function represented by this graph?
Answers
Answer: The range is real numbers less than 1
[1, -∞)
Step-by-step explanation: The range is all the y-values. The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.
Answer:
y < 1
(the < has a line underneath it)
Step-by-step explanation:
here are some facts about units of length 18 ft=____yd and 3 ft= ___in
Answers
Answer:
18 ft = 6 yds
3 ft = 36 inches
Step-by-step explanation:
We know that 3 ft = 1 yd
Divide 18 ft by 3
18 ft /3 ft = 6 yds
We know that 1 ft = 12 inches
3 ft * 12 inches /ft = 36 inches
Answer:
[tex]\large \boxed{18 feet = 6 yards}[/tex]
[tex]\large \boxed{3 feet = 36 inches}[/tex]
Step-by-step explanation:
1 foot = 1/3 of a yard
Multiply both sides of this equation by 18
[tex]\large \boxed{18 feet = 6 yards}[/tex]
1 foot = 12 inches
Multiply both sides of the equation by 3
[tex]\large \boxed{3 feet = 36 inches}[/tex]
Hope this helps!
if a coin is tossed twice find the probability of getting a) 2 heads b) atleast 1 head c) no heads
Answers
Answer:
B
Step-by-step explanation:
A coin has two sides so there is a 50% chance of getting heads or tails.
Answer:
a) 1/4
b) 3/4
c) 1/4
Step-by-step explanation:
Possible outcomes of two tosses of a coin:
HH
HT
TH
TT
There is a total of 4 possible outcomes.
p(event) = (number of desired outcomes)/(total number of possible outcomes)
a) 2 heads
HH <------- 1 desired outcome
HT
TH
TT
p(2 heads) = 1/4
b) at least 1 head
HH \
HT } <------ 3 desired outcomes
TH /
TT
p(at least 1 head) = 3/4
c) no heads
HH
HT
TH
TT <------- 1 desired outcome
p(no heads) = 1/4
find the exact value of tan165°.
Answers
Answer:
the answer would be
[tex] - 2 + \sqrt{3} [/tex]
but if you want it in decimal form it would be -0.26794919
Answer:
tan 165 = -0.2679491924
Step-by-step explanation:
HIJ has coordinates H(-4,3), I7(-2, 0), and J (-4,1). Graph the triangle and its
translation 3 units to the right and 2 units down. What are the coordinates of J'?
Answers
Answer:
J'(-1; -1)Step-by-step explanation:
Look at the picture.
x - horizontal
y - vertical
left, right - horizontal
n units to the right: x + n
n units to the left: x - n
up, down - vertical
n units up: y + n
n units down: y - n
J(-4; 1)
3 units to the right: -4 + 3 = -1
2 units down: 1 - 2 = -1
J'(-1; -1)
What is the actual distance, in miles, between two cities that are 3 inches apart on the map?
Answers
Answer:
Step-by-step explanation: to answer this question I need to know what 1 inch to a mile is. like every one inch= 12 miles
I SHALL NAME THEE BRAINLIEST! (: Use Associative and Commutative Properties to combine like terms. Simplify the expression. Plz help me. -5X + 8X - 4 -5Y + 3 - 6Y + 2Y + 4 6 + X - 5 + 3X + 8 3B - B + 7 + 4B
Answers
Answer
6B+7X-9Y+19
Step-by-step explanation:
What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.
Answers
Answer:
48
Step-by-step explanation:
We have that the volume of a cylinder is given by:
V = pi * (r ^ 2) * h
In this case we know the diameter, we know that the radius is half the diameter like this:
r = d / 2
r = 8/2
r = 4
Now we know that the V equals 768 pi
we replace and we have:
768 * pi = pi * (4 ^ 2) * h
768 = 16 * h
h = 768/16
h = 48
Therefore the value of x would be 48 cm
How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.
39π in3
117π in3
1053π in3
1521π in3
Answers
Answer:
Volume of the cylinder is 1521π in³
Step-by-step explanation:
Hello,
To find the volume of a cylinder, we need the know the formula used for calculating it.
Volume of cylinder = πr²h
r = radius
h = height
Data,
Radius = 13in
Height = 9in
Volume of a cylinder = πr²h
Now we need to substitute the values into the formula
Volume of a cylinder = π × 13² × 9
Volume of a cylinder = 169 × 9π
Volume of a cylinder = 1521π in³
Therefore the volume of the cylinder is 1521π in³
Answer:
1521
Step-by-step explanation:
help quick quick quick qucik
Answers
Answer: 85 = 3.75x + 12.25
The restaurant can have 19 loads
Step-by-step explanation:
The 85 accounts for the restaurant's budget. The 3.75x accounts for the cost of each load. The 12.25 accounts for the delivery fee.
85 = 3.75x + 12.25
Subtract 12.25
72.75=3.75x
Divide by 3.75
19.4=x
Round down
x = 19
Hope it helps <3
Answer:
19.4
Step-by-step explanation:
3.75x+12.25=85
subtract 12 from both sides, and divide to put the variable alone.
Then you have to get 19.53333333
Round up and its 19.4
Check if it is true
3.75×19.4+12.25=85
listed below are the number of tech-supported questions successfully answered each day by misty and brock over a one week period, who is the more consistent employee?
Misty: 11,13,12,14,10,16,14
Brock: 8,15,10,11,16,10,9
Answers
Answer:
Misty is the more consistent employee
Step-by-step explanation:
The given data are
Misty: 11, 13, 12, 14, 10, 16, 14
Brock: 8, 15, 10, 11, 16, 10, 9
The mean of Misty's successfully answered questions = ∑x/n = 90/7 = 12.86
Misty's data standard deviation = √(∑(x - μ)²/n) = 1.884
The mean of Brock's successfully answered questions = ∑x/n = 79/7 = 11.29
Brock's data standard deviation = √(∑(x - μ)²/n) = 2.81
Therefore, based on the value of the standard deviation which is a measure of variability, whereby the standard deviation of Brock's number of successfully answered questions is larger than the standard deviation of Misty's number of tech supported successfully answered questions, Misty is the more consistent employee.
Look at the amount of soft drink in each bottle of capacity 2L, given here. How much more soft drink should be added to completely fill each of the bottles?
Answers
Answer:
1992.50 mL; 825 mL
Step-by-step explanation:
Given that :
Capacity of bottles in the attachment = 2L
Amount of soft drink in bottle 1 = 7.50mL
Amount of soft drink in bottle 2 = 1175mL
Converting liter milliliter
1Litre = 1000 milliliters
Therefore 2Litres = 2000 milliliters
Capacity each of bottle = 2000 milliliters
Volume of drink required to completely fill bottle 1:
2000mL - 7.50mL = 1992.50 mL
Volume of drink required to completely fill bottle 2:
2000mL - 1175mL = 825 mL
greatly appreciate help :) picture below
Answers
Answer:
The answer is None.
Step-by-step explanation:
I took the test on FLVS and I got the answer right.
I hope this helps. I am sorry if you get this wrong.
Answer:
None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.
Step-by-step explanation:
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answers
Answer:
m∠DEA = 62°
m∠ADB (arc) = 194°
Angle ∠ADB = 21°.
Step-by-step explanation:
The given information are;
[tex]AB\left | \right |DC[/tex], m CB (arc) = 62°, m∠DAB (arc) = 104°
arc∠BCD = 360° - 104° = 256°
m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)
Therefore DC (arc) = 194°
m DA ≅ m CB = 62° (Parallel lines congruent arc theorem. Arc between two parallel lines)
m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°
m∠DEA = 62°
Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°
m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)
∴ m∠ADB (arc) = 360 - 104 - 62 = 194°
m∠ADB (arc) = 194°
Angle ADB = subtended by arc AB = ∴1/2×arc AB
Angle ∠ADB = 42/2 = 21°.
Angle = 21°
Carter bought a bear and paid for a football uniform. The total cost was $38.50. Write and solve an equation to find the cost, x, of buying a bear.
Answers
Answer:
Equation:- [tex]x + y = 38.50[/tex]
Solution of x:- [tex]x = 38.50 - y[/tex]
Step-by-step explanation:
Given
Total Purchase = $38.50
Required
Determine the equation for finding the cost of a bear
From the question; we understand that the cost of 1 bear is represented with x
Solving further; by representing the cost of 1 football uniform with y
So;
[tex]1\ bear + 1\ uniform = 38.50[/tex]
Substitute x for 1 bear and y for 1 uniform to give us an equation
[tex]x + y = 38.50[/tex]
Solving for x (Subtract y from both sides)
[tex]x +y - y = 38.50 - y[/tex]
[tex]x = 38.50 - y[/tex]
The equation can't be solved further