In parallelogram DEFG, angle F measures 92°
A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.
In parallelogram DEFG:
∠D + ∠E = 180° (Consecutive angles are supplementary)
(5x - 8) + (3x + 28) = 180
8x + 20 = 180
8x = 160
x = 20°
∠D = 5x - 8 = 5(20) - 8 = 92°
∠D = ∠F = 92° (Opposite angles are congruent)
In parallelogram DEFG, angle F measures 92°
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The angle of F in degrees is 92°
Adjacent angles of a parallelogram are supplementary.
Therefore,
Therefore,
5x - 8 + 3x + 28 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160 / 8
x = 20
Angle F is an opposite angle to angle D. Therefore,
∠D = ∠F
5x - 8 = 5(20) - 8 = 100 - 8 = 92°
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Work out m and c for the line: ? y = x + 6
A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?
Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose...
feet
Choose...
sea level.
Answer:
The Scuba diver is 21 feet below sea level
Step-by-step explanation:
I took the test and it was this
The position of the scuba diver relative to sea level is 17 feet below surface.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
Let the position of the fish is at x feet from surface of the ocean
Therefore, the position of scuba diver = x-4
Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)
According to question,
2(x-4) = -34
2x-8 = -34
2x = -26
x = -13
Therefore, the position of the diver = -13-4 = -17
Hence, the position of the scuba diver relative to sea level is 17 feet below surface.
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Tell whether x and y show direct variation x= (y-2)/(9)
PLEASE HELP I"LL MARK BRAINLIEST
EXPLAIN PLS
Answer:
not a direct variation
Step-by-step explanation:
x = (y-2)/9 is also x = y/9 - 2/9
we can convert this into slope-intercept form
y/9 = x + 2/9
y = 9x + 2
this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation
the direct variation equation y = kx does not have a b or a y-intercept
100 POINTS IF U GET THIS RIGHT!
[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]
Answer:
Slope: 3/2
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -3x/2 - 3/8
=> Now, let's compare:
=> y = mx + b = y = -3x/2 - 3/8
We can tell that slope = m, which is 3/2.
Hoped this helped.
Hurry for Brainlist =Accurate Answer
Step-by-step explanation:
the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.
that means it must have the same slope but a different y-intercept.
the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).
and we see that the points with integer coordinates seem to be e.g. (3, -2).
so, for the slope (y difference / x difference between 2 points) we use this point and the origin.
x changes by +3 (from 0 to 3).
y changes by -2 (from 0 to -2).
so, the slope is -2/3. and it is always the factor of x.
let's look at the answer options :
2x + 3y = 0
3y = -2x
y = (-2/3)x
this is the identical line, so it is wrong !
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 2
the same slope and different y-intercept.
this is the correct solution !
2x - 3y = 9
-3y = -2x + 9
y = (2/3)x - 3
wrong slope. so it is wrong !
y = 3x + 2
wrong slope. so it is wrong !
Nada drinks 54 glasses of water a week. How many glasses of water does she drink in 9 Weeks?
Answer: 486 glasses of water in 9 weeks
Step-by-step explanation:
54 X 9 = 486
Or you could add 54 to itself 9 times then you will get 486
Solve for x.
Solve for x.
Solve for x.
Solve for x.
Answer:
[tex]x=90[/tex]
Step-by-step explanation:
2x - 10 and x + 80 are parallel lines and equal each other.
[tex]2x-10=x+80\\x-10=80\\x=90[/tex]
Answer:
90
Step-by-step explanation:
i had this question too
Your poster was sold for 4250 pesos. You want to share this money with your two siblings. You and your younger sibling will each receive ¼ of the amount and the rest will be for your oldest sibling. How much money will each of you receive?
Suppose that a piano costs $6,000 and loses 15% of its value each year. The table below shows the value, v, of a piano after, t, years.
Part A: Write an equation to find the value of the piano, v, after t years.
Part B: What will be the value of the piano after 16 years? Round your answer to the nearest hundredth.
v(value)=6000-0.15t(years)
Part B would be $445.50
4.$3132.03
5$2662.23
6$2262.89
7$1923.46
8$1634.94
9$1389.70
10$1181.24
11$1004.05
12$853.45
13$725.43
14$616.61
15$524.12
16$445.50
What is domain and range
Answer: domain and range is the set of values that we are allowed to plug into our function.
Step-by-step explanation:
need #5 and #6 please
Answer:
Step-by-step explanation:
Luisa buys a plane ticket that has an original price of $240. She used a coupon code to get 30% discount off of the original price.She is then charged a 7% tax on the discounted price
Answer:
The final cost after the discount and tax is $179.76
Step-by-step explanation:
Since the discount is 30%, she only pays 70% of the price of the ticket.
Discounted price before tax:
70% of $240 = 0.7 × $240 = $168
Now think of the price $168 as a new price.
The price is $168 which is 100% of the price. Tax is 7% of the price, so you must pay 107% of the price.
107% of $168 = 1.07 × $168 = $179.76
Answer: The final cost after the discount and tax is $179.76
Solve for x and not to scale
Answer:
x = 90
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{BC}{NE}[/tex] = [tex]\frac{AB}{TN}[/tex] , substitute values
[tex]\frac{3}{27}[/tex] = [tex]\frac{10}{x}[/tex] ( cross- multiply )
3x = 270 ( divide both sides by 3 )
x = 90
PLEASE HELP ME, THIS IS THE LAST QUESTION AND IM DONE
Answer:
B) x=square root of 32
Step-by-step explanation:
HELP a please please help
Answer:
oh nah nah too complicated for me you on your own
Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.
Answer: y = (28/4)x + 4
Step-by-step explanation:
We'll be using 20, 144 (1) and 24, 172 (2) for this
slope = y2 - y1 / x2 - x1
slope = 172 - 144 / 24 - 20
slope = 28/4
y = mx + b
y = (28/4)x + b
We can then reduce 20, 144 by 4, 28
20, 144
16, 116
12, 88
8, 60
4, 32
0, 4
The y-intercept is when x = 0, so its 4.
Plug that into y = mx + b
y = (28/4)x + 4
What are the solutions of y=x^2+5x-7
Answer:
You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.
If you wanted to know if and where the RHS crosses the x axis, the points are the solution to
[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]
If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].
A cafeteria sells 6 times as many bottles of juice. if the cafeteria sells 750 bottles of water. how many bottles of juice did the cafeteria sell? ANSWER
Answer:
4,500 bottles of juice.Step-by-step explanation:
Clue word: Times means multiplyIf you multiply 750 x 6 you will get 4,500.In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
20 by 36
divide and you get answer.
Answer:
1 r8
Step-by-step explanation:
20 ÷ 36 and then u get up answer
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant II or Quadrant IV
Quadrant I or Quadrant II
Quadrant III or Quadrant IV
Quadrant I or Quadrant IV
Answer:
The best and most correct answer among the choices provided by your question is the fourth choice or letter D.
Nonzero abscissa, negative ordinate is located in Quadrant III or Quadrant IV.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
Calculate the exact value of 0.428 ×2.75
- BRAINLIEST ANSWERER
-5+5(x-7)=-40+5x solve for x
Answer: all real numbers
Step-by-step explanation:
Can someone plz help me with this. 100 points and brainliest to the correct answer.
I will be so gratefulll!!
Answer: 11.46
Step-by-step explanation:
Here we go another question i'm asking you guys to help me with because i don't understand this!
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
what is the current produced by a 9-v battery flowing through a resistance of 150 ω
Answer:
Step-by-step explanation:
A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".
What is 521,000,000 expressed in scientific notation? A. 5.21x 10^8 B. 5.21x10^9 C. 0.521x10^-9 D. 0.521x10^9
Answer:
A. [tex]5.21*10^{8}[/tex]
Step-by-step explanation:
Multiplying by [tex]10^{n}[/tex] moves the decimal point n places to the right.
Doing so 8 times for 5.21 gives 521,000,000.
What is the result when this equation is solved for y?
4x²+10x-2y=6
Answer:
B. y = 2x² + 5x - 3
Step-by-step explanation:
[tex]4x^2+10x-2y=6\\\\4x^2+10x-2y-4x^2-10x=6-4x^2-10x\\\\-2y=-4x^2-10x+6\\\\\frac{-2y}{-2}=\frac{-4x^2-10x+6}{-2}\\\\y=2x^2+5x-3[/tex]
The result when the equation is solved for y is y = 2x² + 5x - 3.
To solve the equation 4x² + 10x - 2y = 6 for y, follow these steps:
Step 1: Move all terms containing y to one side of the equation:
4x² + 10x - 6 = 2y
Step 2: Divide both sides of the equation by 2 to isolate y:
(4x² + 10x - 6) / 2 = y
Step 3: Simplify the right side of the equation:
y = 2x² + 5x - 3
So, the result when the equation is solved for y is y = 2x² + 5x - 3.
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Mr Larson is planning a pizza party for 273 peoples he plans on 3 slices of pizza for each person. How many slices of pizza is this in all
Answer: 819
Step-by-step explanation:
273 x 3= 819
Question
1. Put the following equation in Standard Form:
y=-1/3x + 4
A 9-ounce can of peaches sells for $1.26. Find the unit price.
Answer:
0.14 per ounce
Step-by-step explanation:
1.26 ÷ 9= 0.14
Hope this helps! :)
The unit price of peach would be $0.14.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 9-ounce can of peaches sells for $1.26.
9-ounce can of peaches sells for $1.26.
Then -
1 ounce of peach will cost = (1.26/9) = $0.14
Therefore, the unit price of peach would be $0.14.
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