The m<1=4x-30 and the m<5=2x+50. Find m<1 and m<7.
A. M<1=130 and M<7=130
B. M<1=130 and M<7=50
C. M<1=50 and M<7=50
D. M<1=50 and M<7=130
Answers
Answer:
D) m<1 = 50 m<7 = 130
Step-by-step explanation:
Lets set up the equation!
We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!
4x-30 = 2x+50
Add 30 to both sides
4x = 2x +80
Subtract 2x from both sides.
2x = 80
Divide both sides by 2
x = 40
Now that we know x we can just plug it into the expression of m<4 to find m<1
4x-30
4(40)-30
80 - 30
50
m<4 = 50
Because m<1 and m<4 are vertical angles they are congruent!
m<1 = 50
We also know m<4 and m<5 are congruent so m<5 = 50 as well.
Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.
x represents m<7
50 + x = 180
Now we solve by subtraction 50 from both sides
x = 130
m<7 = 130
Brainliest is appreciated!
Related Questions
How many hours are in 40% of a week?
Answers
Answer:
67.2 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
67.2 hours are in 40% of a week.
HELP 30 Points ANy wrong/bad answers will be deleted by one of my moderator friends.
Answers
Hope this helps?
Please mark my answer as brainliest?
1. So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%. (a) Write an equation to represent this situation. (3 points) (b) Solve the equation. Show all steps. (5 points) (c) Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%? (1 point)
Answers
Answer:
[(6 + x) / 13+x] = 0.65
7
Step-by-step explanation:
Given that:
Total number of games = 13
Number of correct prediction = 6
Number of correct predictions needed to raise prediction % to 65%
(Number of correct predictions) / (total number of games) = 0.65
Let x = number of additional consecutive correct predictions
[(6 + x) / 13+x] = 0.65
Where x = number of consecutive predictions required
6 + x = (13 + x) * 0.65
6 + x = 8.45 + 0.65x
x - 0.65x = 8.45 - 6
0.35x = 2.45
x = 2.45 / 0.35
x = 7
7 consecutive correct predictions
7/12 divided by 2 5/8
Answers
Answer:
2/9 or 0.2 repeating
Mr. Peterson saves $55 each time he gets paid. If Mr. Peterson has saved $220, how many times has he gotten paid?
Answers
Answer:
4
Step-by-step explanation:
220 divided by 55 is 4
Answer:
He’s gotten paid 4 times.
Step-by-step explanation:
All you have to do is divide 220 by 55 and you get the answer! :)
A rectangular fence with a positive area has length represented by the expression 3x2+5x-8 and width by 2x2+6x
1. Write expressions in terms of x for the perimeter.
2. Write expressions in terms of x for the area. Give your answers in standard polynomial form and show your work.
3. If the perimeter of the rectangular fence is 16 units, prove, using the quadratic formula, that the solutions to the equation are x=1 and x=-3.2.
4. Using the first solution as x, show work and give the dimensions of the rectangular fence.
5. Using the second solution as x, show work and give the dimensions of the rectangular fence.
6. Explain which dimensions of the fence make sense in the context of the problem.
7. Using the dimensions from #6, what is the area of the rectangular fence?
Answers
Answer:
1. [tex]Perimeter = 10x^2+ 22x - 16[/tex]
2. [tex]Area = 6x^4 +28x^3 + 14x^2 - 48x[/tex]
3. [tex]x = 1[/tex] or [tex]x = -3.2[/tex]
4. [tex]Length = 0[/tex] and [tex]Width = 8[/tex]
5. [tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]
6. Second Solution
7. [tex]Area = 8.6016[/tex]
Step-by-step explanation:
Given
[tex]Length = 3x^2 + 5x - 8[/tex]
[tex]Width = 2x^2 + 6x[/tex]
Solving (1): The perimeter
Perimeter is calculated as thus:
[tex]Perimeter = 2 * (Length + Width)[/tex]
Substitute values for Length and Width
[tex]Perimeter = 2 * (3x^2 + 5x - 8 + 2x^2 + 6x)[/tex]
Collect Like Terms
[tex]Perimeter = 2 * (3x^2+ 2x^2 + 6x + 5x - 8 )[/tex]
[tex]Perimeter = 2 * (5x^2+ 11x - 8 )[/tex]
Open Bracket
[tex]Perimeter = 10x^2+ 22x - 16[/tex]
Solving (2): The Area:
Area is calculated as thus:
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = (3x^2 + 5x - 8) * (2x^2 + 6x)[/tex]
Expand Bracket
[tex]Area = 2x^2(3x^2 + 5x - 8) + 6x(3x^2 + 5x - 8)[/tex]
Open Bracket
[tex]Area = 6x^4 + 10x^3 - 16x^2 + 18x^3 + 30x^2 - 48x[/tex]
Collect Like Terms
[tex]Area = 6x^4 + 10x^3 + 18x^3 - 16x^2 + 30x^2 - 48x[/tex]
[tex]Area = 6x^4 +28x^3 + 14x^2 - 48x[/tex]
Solving (3): If perimeter is 16, show that x = 1 and x = -3.2
In (a) [tex]Perimeter = 10x^2+ 22x - 16[/tex]
Substitute 16 for Perimeter
[tex]16 = 10x^2+ 22x - 16[/tex]
Equate to 0
[tex]10x^2+ 22x - 16 -16=0[/tex]
[tex]10x^2+ 22x - 32=0[/tex]
Expand
[tex]10x^2+ 32x -10x- 32=0[/tex]
Factorize
[tex]x(10x + 32) - 1(10x + 32) = 0[/tex]
[tex](x - 1)(10x + 32) = 0[/tex]
Split
[tex]x - 1 =0[/tex] or [tex]10x + 32 = 0[/tex]
[tex]x = 1[/tex] or [tex]10x = -32[/tex]
[tex]x = 1[/tex] or [tex]x = -32/10[/tex]
[tex]x = 1[/tex] or [tex]x = -3.2[/tex]
Solving (4): Using x = 1; Solve the dimension of the rectangle
We have that:
[tex]Length = 3x^2 + 5x - 8[/tex]
[tex]Width = 2x^2 + 6x[/tex]
Substitute 1 for x in the given parameters
[tex]Length = 3(1)^2 + 5(1) - 8[/tex]
[tex]Length = 3*1 + 5*1 - 8[/tex]
[tex]Length = 3 + 5 - 8[/tex]
[tex]Length = 0[/tex]
[tex]Width = 2(1)^2 + 6(1)[/tex]
[tex]Width = 2*1 + 6*1[/tex]
[tex]Width = 2 + 6[/tex]
[tex]Width = 8[/tex]
Solving (5): Using x = -3.2; Solve the dimension of the rectangle
We have that:
[tex]Length = 3x^2 + 5x - 8[/tex]
[tex]Width = 2x^2 + 6x[/tex]
Substitute -3.2 for x in the given parameters
[tex]Length = 3(-3.2)^2 + 5(-3.2) - 8[/tex]
[tex]Length = 3*10.24 + 5(-3.2) - 8[/tex]
[tex]Length = 30.72 -16 - 8[/tex]
[tex]Length = 6.72[/tex]
[tex]Width = 2(-3.2)^2 + 6(-3.2)[/tex]
[tex]Width = 2*10.24 + 6(-3.2)[/tex]
[tex]Width = 20.48 -19.2[/tex]
[tex]Width = 1.28[/tex]
[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]
Solving (6):
In the first solution of the dimensions in number 4, we have that
[tex]Length = 0[/tex] and [tex]Width = 8[/tex]
This dimension can not be considered because the length of a rectangle can not be 0
In the second solution of the dimensions in number 5, we have that
[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]
This dimension makes more sense because both dimensions are greater than 0
Solving (7): Using (6), determine the Area
In (6), we conclude that
[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]
So, Area is calculated as thus:
[tex]Area = Length * Width[/tex]
[tex]Area = 6.72 * 1.28[/tex]
[tex]Area = 8.6016[/tex]
Ann, Ben, and Cheryl share some money in the ratio 3:7:10. Ben received £650 more than Ann.
Calculate the total amount of money that they shared.
Answers
Answer:
Total amount = £ 3250
Step-by-step explanation:
Ann : Ben : Cheryl = 3 : 7 : 10
Money Ann received = 3x
Money Ben received = 7x
Money Cheryl received = 10x
Ben received £650 more than Ann.
7x - 3x = 650
4x = 650
x = 650/4
x = £ 162.50
Money Ann received = 3x = 3 *162.50 = £ 487.50
Money Ben received = 7x = 7 *162.50 = £ 1137.50
Money Cheryl received = 10x = 10* 162.50 = £ 1625
Total amount = 487.50 + 1137.50 + 1625 = £ 3250
Write an equation for the line in the given form.
slope is -5 and (5, 4) is on the line; standard form
Answers
Answer:
5x+y=29
Step-by-step explanation:
You use the information that is given and convert it into point-slope form y-y1=m(x-x1) like so. y-4= -5(x-5). Then you solve for y and you get y= -5x+29 which is slope intercept form (y=mx+b). Then you transform it into Standard form (ax+by=c) so all you do is add 5 on both sides and you get 5x+y=29. Now you have found your solution.
If you can please make my answer the brainliest that would be much appreciated. Thanks!
what is an eqution for a slope of 2 and a y intercept of 5
Answers
Answer:
y=2x+5
Step-by-step explanation:
Help plss (find the perimeter) thx
Answers
Answer:
64 units
Step-by-step explanation:
divide the shape into two shapes:
first one: 15+15+4+4=38
second shape:7+7+6+6=26
pweimwter for the whole shape: 38+26=64 units
PLEASE URGENT (ALGEBRA)
Find the number of calories in a honeydew and a cantaloupe
(1.) A honeydew has 20 more calories than a cantaloupe
(2.) Six honeydew and 3 cantaloupes have 750 calories
Answers
Answer:
1) A honeydew has 20 more calories than a cantaloupe
EASY MATH QUESTION HELP! Which pair of angles are vertical angles in the picture below?
What are the interior angles in the picture below?
Answers
Answer:
B, 3 and 5
Step-by-step explanation:
Answer:
3 and 5 for number 1, 1,4,5 and 8 for number 2
Step-by-step explanation:
During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $40 plus $20 per hour (including taxes).
The total charge comes to $120. Which equation can be used to calculate the number of hours, a, that Dalyn rents the boat?
Answers
Answer:
4 hours
Step-by-step explanation:
We can calculate this using the y=mx+c formula
y=total charge
m=per hour
x = (a) no. of hours
c= flat fee
y=20x+40
120=20x+40
We then solve like a normal equation
120-40=20x+40-40
80/20=20x/20
x=a
a=4
∴ Dalyn rents the boat for 4 hours
What figure will result when the triangle is rotated around RE?
Answers
Answer:
The figure will result is cone ⇒ B
Step-by-step explanation:
When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle
In the given figure
∵ Triangle TRE is a right triangle
∴ The horizontal leg is RE
∴ The vertical leg is TR
∵ The triangle is rotated around the horizontal leg RE 360°
∴ It formed a cone its radius = TR and its height = RE
∴ The figure will result is the cone
Mark works at a clothing store and earns 20% commission on his total sales last month mark sold $1500 in closing total sales what was his commission last month
Answers
Answer:
$300
Step-by-step explanation:
I did have an explanation here but someone *cough* *cough* laurenercsp6fpli deleted all my answers for no reason. But I did the math and I assure you that the answer is $300.
Please answer this giving brainliest and 20 points. If you say something weird i will make sure you get banned.
Answers
Answer:
C. The value of a is the number that the x-values are multiplied by to get to the corresponding y-values. So, a = 3.
Step-by-step explanation:
Given the points (5, 15) and (-5, -15) are plotted using the equation y = a•x, this shows a proportional relationship between y and x.
Thus using any of the points, say (5, 15), x = 5, and y = 15, thus:
a = y/x = 15/5
a = 3
Therefore, the value of a, which is 3, is the number that the x-values, 5 and -5, are multiplied by to get the corresponding y-values, 15 and -15.
As we can see, if we multiply each of the x-values by 3, it will give us their corresponding y-values.
factorise 2x^2 - 9x -5
Answers
Answer:
(x-5)(2x+1)
Step-by-step explanation:
Its called google XD
1) 7x+3-4x-x is the answer abc or d
A-x
B 3
C7x
D-4x
Answers
2x + 3
hope this helped
Hey there!
7x + 3 - 4x - x
• First COMBINE your LIKE TERMS
(7x - 4x - x) + (3)
• x by itself is understood as an INVISIBLE ONE
(7x - 4x - 1x) =
(7x - 4x) = 3x
(3x - 1x) = 2x
➡️ 2x + 3
• Answer:
2x + 3
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A statement of equality between two ratios is called a
a) Product
b) Proportion
c) Property
d) Relation
e) Percentage
Which one?
Answers
5)
2x + 8+ = 32
Solve the question
Answers
Answer:
x = 12
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
2x + 8 = 32
Step 2: Solve for x
Subtract 8 on both sides: 2x = 24Divide 2 on both sides: x = 12Step 3: Check
Plug in x to verify it's a solution.
Substitute: 2(12) + 8 = 32Multiply: 24 + 8 = 32Add: 32 = 32Sebastián was saving $8.50 each week in order to have enough money for a phone that costs $122. If his father started him off with $25, write an inequality that can be used to determine the minimum number of whole weeks, w, Sebastián will need to save.
Answers
Step-by-step explanation:
122 - 25
97
y= 8.5x + 25
97/8.50 <
11.4 --> 12
x < 12
Answer:
25 + 8.50w ≥ 122
Step-by-step explanation:
Given that:
Amount saved per week = $8.50
Cost of phone = $122
Starting amount = $25
Minimum Number of whole weeks (w) Sébastien will need to save :
Starting amount + (weekly saving * number of weeks) ≥ 122
25 + 8.50w ≥ 122
8.50w ≥ 122 - 25
8.50w ≥ 97
w ≥ 97/8.50
w ≥ 11.4117
Number of whole weeks = 12
what is (9x-10y)-(-8x-8y)?
Answers
Brainliest is always appreciated
Name some examples of scale factors that are less than 1. What effect does a scale factor less than 1 have on the dimensions of the image being scaled?
Answers
Answer:
0.1 0.001 0.0001
Step-by-step explanation:
Square PQRS is transformed as shown on the graph.
Which rule describes the transformation?
Ra 90°
Ro, 180°
O RO, 270
O Ro 360
S
Answers
The rule that describes this transformation is R₀ 270°
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
If a point A(x, y) is rotated clockwise by 270 degrees, the new point is at A'(-y, x)
Quadrilateral PQRS is at P(-3, 5), Q(-1, 3), R(-3, 1) and S(-5, 3). If PQRS is rotated 270 degrees clockwise, the new point is at P'(-5, -3), Q'(-3, -1), R'(-1, -3) and S'(-3, 5)
Find out more on transformation at: https://brainly.com/question/1548871
A glass is 1/3
full. Then 75cm3 of orange juice is poured in.
The glass is now 3/4
full. What is the total volume of the glass?
Help please!
Answers
Explain: the glass is divided in 4 parts, the glass is 3/4 when 75 cm3 of orange is poured in. To find 1 part, calculate 75/3=25 (cm3). So the total volume is 4 parts, then 25*4=100 (cm3)
express 182 as a product of its prime factors
Answers
Answer:
2x7x13
Step-by-step explanation:
182 = 91 x 2
91 = 13 x 7
a 2-liter bottle is filled completely with water from a faucet in 10 seconds. how much water is filled in to the bottles each second?
Answers
Answer:
[tex]\dfrac{1}{5}\ L[/tex]
Step-by-step explanation:
It is given that,
A 2-liter bottle is filled completely with water from a faucet in 10 seconds.
We need to find how much water us filled in to the bottles each seconds.
In 10 s = 2 L bottle is filled
In 1 s, [tex]\dfrac{2}{10}\ L=\dfrac{1}{5}\ L[/tex] of water is filled into the bottles.
Find the circumference of the circle. Round to the nesrest tenth. 4 cm
Answers
Answer:
25.1
Step-by-step explanation:
4 is the radius and the diameter is twice the radius. The circumference is pi times the diameter. 3.14x8 is 25.12. Round that to the nearest tenth to get 25.1.
Tell me which ones are rational or irrational numbers I will number them 1 to 10
1. 3.9
2. 14.9876.....
3. √9
4. 2 1/2
5. 13
6. √100
7. √10
8. 2π
9. √5 + 9
10. 9.812.....
Answers
Answer:
1,3,4,5,6
Step-by-step explanation:
all the other answers to not have a definite end to them. rational numbers end
please help me. solve for X
Answers
Answer:
1. x = 16
2. x = 17
Step-by-step explanation:
1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:
46 + 93 + 47 + 4x + 62 + 3x = 360
Combine like terms:
248 + 7x = 360
Subtract 248 from both sides of the equation to isolate 7x:
7x = 112
Divide both sides by 7 to find the value of x:
x = 16
2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:
5x + 139 + 9x + 71 + 92 = 540
Combine like terms:
14x + 302 = 540
Subtract 302 from both sides to isolate the 14x:
14x = 238
Divide both sides by 14 to find the value of x:
x = 17
I hope this helps :)