Find the value of x in each case
Answer:
Step-by-step explanation:
∠AEB + ∠FEC = 180 {linear pair}
∠AEB = 180 - 4x
DE // AB , AE is transversal,
∠EAB = ∠DEA {Alternate interior angles}
∠EAB = 2x
∠EBC = ∠AEB + ∠EAB {Exterior angle property}
6x = 180 - 4x + 2x
6x = 180 - 2x
Add 2x to both sides
6x + 2x = 180
8x = 180
x = 180/8
x = 22.5
Which of the following equations is steeper?
y=-2x+1
y=-5/4x+7
y=x-1
y=5x-1
Answer:
Option 4: y = 5x - 1
Step-by-step explanation:
The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.
Generally speaking, slopes with higher values tend to have steeper lines.
Compare the slopes:In comparing the slopes of the given options:
Option 1: slope = -2
Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25
Option 3: slope = 1
Option 4: slope = 5
Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.
Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.
18 is 120 percent of what number
Answer:
18 is 120 percent of 15Step-by-step explanation:
100/120 = 15
15/100, which means that 18/120 as a percentage is 15%.
hope this helps :)
solve for k 5k-2=2k+4
Answer:
k = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5k - 2 = 2k + 4
Step 2: Solve for k
[Subtraction Property of Equality] Subtract 2k on both sides: 3k - 2 = 4[Addition Property of Equality] Add 2 on both sides: 3k = 6[Division Property of Equality] Divide 3 on both sides: k = 2Answer:
k=2
Step-by-step explanation:
5k-2=2k+4
add 2 to both sides
5k=2k+6
subtract 2k to both sides
3k=6
divide both 3k and 6 by 3 to get k by itself
k=2
40. If f(x) = -3x + 7 and g(x) = -7x+3, what is the value of f(-3) - g(3)?
Answer:
34
Step-by-step explanation:
f(-3) = -3(-3) +7
f(-3) = 16
g(3) = -7(3) +3
g(3)= -18
16 -(-18) = 34
Answer:
34
Step-by-step explanation:
f(x) = -3x + 7
f(-3) = -3(-3) + 7
= 9 + 7 (two negatives make a positive)
= 16
g(x) = -7x + 3
g(3) = -7(3) + 3
= -21 + 3
= -18
16 - (-18)
16 + 18 (two negatives make a positive
= 34
Hope this helps!
Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes
Answer:
Yes, he can swim 100 lengths in under 45 minutes.
Step-by-step explanation:
First we divide 100 by 5
100 ÷ 5 = 20
Now we can multiply this by 130 seconds
Now we have 2600 seconds
Since 1 minute is 60 seconds we divide 2600 by 60 seconds
2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.
This is all assuming his rate is constant.
Micheal takes 43.333 minutes to swim 100 lengths.
What is length?Length is a measurement or extent of something from one end to another end.
The SI unit of length is meter.
Given that,
To cover 5 lengths, time taken by Micheal = 130 seconds,
Therefore,
Time taken by Micheal to cover 1 length = 130/5 = 26 seconds
Time to cover 100 length = 26×100=2600 seconds
1 minute = 60 seconds
100 length is covered = 2600×1/60 minute
= 43.333 minute
So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.
To know more about Length on :
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Select the correct answer. The probability that Ashley drives faster than the speed limit (event A) is 0. 34, and the probability that he gets a speeding ticket (event B) is 0. 22. The probability that he drives faster than the speed limit, given that he has gotten a speeding ticket, is 1. Are events A and B dependent or independent? A. Dependent B. Independent C. Insufficient data D. Depends on the other events in the sample space.
Answer:
Depends on other factors, although I'm not certain, so to speak.
Step-by-step explanation:
We don't know the probability of Ashley getting a speeding ticket when he is not speeding. [It happens].
Otherwise, event B is dependent on event A. Speeding must occur to initiate event B.
what is the degree measure of the missing angle? 84 34 114 24
Answer:
24°
Step-by-step explanation:
We are given that m∠EFG is a right angle, and that m∠EFH = 66°
m∠EFH + m∠HFG = m∠EFG
Substitute values and solve.
66 + m∠HFG = 90
m∠HFG = 24°
Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.
Answer:
All these statements are true. See explanations, below.
Step-by-step explanation:
A Line 4y = -16 is horizontal. TRUE. Note that y = -4 here.
B. Line 3x = 27 is vertical. TRUE. Note that x = 9, which is a vertical line.
C. For both lines, all points on the line have an x- and a y-coordinate. TRUE. But for 4y = -16, the y-coordinate is always the same: -4; for x = 9, the x-coordinate is always the same.
D. For either line, one of the coordinates of all the points is always the same value. TRUE (See C above)
a polygon has a interior angle 172
find the number of sides of this polygon
Answer:
45 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , that is
exterior angle + 172° = 180° ( subtract 172° from both sides )
exterior angle = 8°
The sum of the exterior angles of a polygon = 360°
To find the number of sides n , divide 360° by 8°
n = 360° ÷ 8° = 45
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides
4y-10+3.14=180
value of y
Answer:
The value of y is 46.715
Step-by-step explanation:
4y-10+3.14 = 180
4y = 180 + 10 - 3.14
4y = 186.86
4y ÷ 4 = 186.86 ÷ 4
y = 46.715
A lifetime subscription to a website cost $250. A monthly subscription to the website cost $10 to join and $15 per month, write an equation in slope-intercept form to represent the cost of each plan
Answer:
250=15x+10
Step-by-step explanation:
250=y
10=b
15 is how much you are paying consantly
The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.
If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,
y=mx+c
250=15x+10
Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.
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evalute ½(7-3)-(4-10)
Answer:
8
Step-by-step explanation:
1/2(4)-(-6) BODMAS method
2-(-6)
2+6
8
Solve for x. Round to the nearest tenth, if necessary. S 210 X 5.5
Answer:
1155.0
Step-by-step explanation:
The polynomial x^3 + 8 is equal to?
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).
Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867
Step-by-step explanation:
b) 3.14, 31.4, 0.314, 3 2/4, 3.141
3.14, 31.4, 0.314, 3.5, 3.141
0.314, 3.14, 3.141, 3.5, 31.4
PLEASE MARK ME AS BRAINLISTThe length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.
Answer:
x= 5
Step-by-step explanation:
am isosceles triangle has 2 sides equal i.e the legs.
how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm
Answer:
Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]
All you need to do is plug in those numbers.
Like this: V= [tex]\pi *1^{2}*8[/tex]
which is = 25.13 [tex]cm^{3}[/tex]
Ta-da!! lol. Have a great day!
What is the value of y? y = 40 y = 80 y = 100 y = 120.
Answer:
I think it is 80. But I am also not sure because this question is not briefly described.
Answer:
80
Step-by-step explanation:
got it right on edge
cuanto es "y=2x + 5" ??
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000I need help..............
Explanation:
The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.
The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.
Write an equation representing how much Tristan paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
These are the equations
Step-by-step explanation:
Gwen's equation = x + 10y = 30
Tristan's equation= x + 15y = 40
Keith's equation = x + 10y = 30
(y=x-4
(y=-2x+5 ................................................................
Answer:
y= -1, x=3
Step-by-step explanation:
2x+y=5
x-y =4
x= 4+y
Sub 1 into 3
2( 4+y ) 4y =5
8+2y +y =5
8+3y =5
3y =5-8
3y =-3
y=-3÷3
y = -1 #
Sub y = -1 into 3 equation
x=4+(-1)
x=3 #
Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?
Answer:
18 liters of 6% substance B
42 liters of 2% substance A
Step-by-step explanation:
let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%
6x + 2(60 - x) = 3.2(60)
distribute
6x + 120 - 2x = 192
Combine like terms
4x = 72
Divide bothsides by 4
x = 18 liters of 6%
60 - x = 42 liters of 2%
write a recursive formula for this sequence
2.3, 2.8, 3.3, 3.8, ...
Answer: 2.3
Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence
a recursive formula for the sequence is : An+1=An +0.5
Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?
Answer:
They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
500 soda water, 100 batches, just a guess so sorry if im wrong
Step-by-step explanation:
What is the quotient of 4/5 divided by 1/3?
:
Answer:
2.4
Step-by-step explanation:
4/5 / 1/3
4/5 x 3/1
4/5x3/x1 = 12/5
22/5
12/5 = 2.4
Candace is considering trying the Spice Tea. What is the greatest number of 1-pound bags of Dark Roast coffee she can buy with
$52, if she also buys 0.5 pound of the Spice Tea and 2 pounds of the Morning Blend coffee?
Answer:
Step-by-step explanation:
69
Find the coordinates of point X if the midpoint of XY is (3,-5) and the coordinates of point
Y is (7,1)
Answer:
(7, -1) maybe...
How do i find the slope-intercept form for 6x=8y+10
Answer:
y = 3/4x - 5/4
Step-by-step explanation:
6x=8y+10
Well you must first get your equation set up into the form called "Slope intercept."
6x=8y+10
Add 8y on both of your sides because your y is suppose to be alone.
8y + 6x = 10
Subtract 6x on both sides since it is in fact the opposite of addition.
8y = 6x + 10
Now, you will divide by 8 on both sides. When doing this your y will be alone.
y= 6/8x + 10/8
Note: You can leave it like this but you want to probably simplify.
y = 3/4x + 5/2
or
y = 3/4x - 5/4
(Hope this helps can I pls have brainlist (crown)☺️)