Answer:
x = 2
Step-by-step explanation:
First, subtract 4x from both sides:
4x + 1 = 7x - 5
1 = 3x - 5
Add 5 to both sides:
6 = 3x
Divide each side by 2:
2 = x
So, the answer is x = 2
Answer:
2 =x
Step-by-step explanation:
4x + 1 = 7x - 5
Subtract 4x from each side
4x-4x + 1 = 7x-4x - 5
1 = 3x-5
Add 5 to each side
1+5 = 3x-5+5
6 = 3x
Divide each side by 3
6/3 = 3x/3
2 =x
What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.
Step-by-step explanation:
Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.
Sum of all interior angles of
N
-sided regular polygon equals to
(
N
−
2
)
⋅
180
o
.
Therefore, sum of interior angles of
12
-sided polygon is
(
12
−
2
)
⋅
180
o
=
1800
o
All 12 interior angles of dodecagon are equal, so each is
180-30
150
A supplementary exterior angle, therefore, equals to
180-150
=30
hopeit helps..
Answer
The measure of each exterior angle of a regular dodecagon is 30 degrees.
What is a regular dodecagon?A regular dodecagon is a 12-sided regular polygon with each side equal.
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that measure of each angle of n-sided regular polygon can be found using
= 360/n
Upon substituting n = 12 in above formula, we will get:
= 360 / 12
= 30
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
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Please help and thank you
Answer:
B is your answer to this question
Pls pls pls answer this question!!
Answer:
11
Step-by-step explanation:
3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4
work for the root first
3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4
3 + 4 ÷ 2 * 4
now divide 4 by 2
3 + 2 * 4
then do multiplication
3 + 8
11
Answer:
11
Step-by-step explanation:
Following the order of operations in PEMDAS
Given
3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root
= 3 + 4 ÷ 2 × 4
When multiplication appear on the same line evaluate from left to right
= 3 + 2 × 4
= 3 + 8
= 11
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
Radius=20 cm
Height=9 cm
Answer:
11,304.0 cm³
Step-by-step explanation:
the volume = π.r².h
= 3.14 × 20² × 9
= 11,304
The measures of two complementary angles are represented by (2x) and (3x - 10)". What is the value of x?
Answer:
Step-by-step explanation:
2x + 3x - 10 = 90
Combine like terms
5x - 10 = 90
Add 10 to both sides
5x = 90+10
5x = 100
Divide both sides by 5
x =100/5
x = 20
calculate the area of rectangle if the area of the shaded triangle is 2.6cm
Answer:
12
Step-by-step explanation:
The new theme park in Myrtle Beach averaged fewer than 2,000 visitors per week during the cold winter months. What was the average daily attendance?
Answer:
Fewer than 286
Step-by-step explanation:
Average daily guest = visitors per week / number of days in a week
2000 / 7 = 285.7 = 286 guests
algebra 2 help plsass
Answer:
A
Step-by-step explanation:
a)A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
Answer:-let the cost price be 50x
→he sells 30kg of fruits on it's CP of 35 kg
→CP of 30kg fruits = 30x
→SP of 35kg fruits = 35x
→remaing fruits are 20kg
→he sells 20kg of fruits on CP of 16kg
→CP of 20kg fruits = 20x
→SP of 20kg fruits = 16x
→total CP is = 50x
→total SP is = (35 + 16) = 51x
→SP > CP (it means profit)
→profit = SP-CP
→ 51-50
→ 1
Now,→ Profit% = gain/CP × 100
→ Profit% = 1/50 × 100
→ 2%
Hence the fruit seller had a profit% of 2%.
Please help me guyssssssssssssssss
Answer:
x≥-4
Step-by-step explanation:
-2-3x ≤ 10
Add 2 to each side
-2-3x+2 ≤10+2
-3x ≤ 12
Divide by -3, remembering to flip the inequality
-3x/-3 ≥ 12/-3
x≥-4
Answer:
Easy x[tex]\geq[/tex]4
Step-by-step explanation:
a)-2-3x[tex]\leq[/tex]10 can be broken down by
b)-2-3x[tex]\leq[/tex]10
+2 +2
c)-3x[tex]\leq[/tex]12
+3 +3
d) x[tex]\geq[/tex]4
[tex]3 \sqrt{10} + \sqrt{9} - 4\sqrt{17} [/tex]
please help with this equation
Can someone help me?It's urgent and thank you!
Answer:
x = 4 is the answer
PLease give a brainliest
Solve
8V - 4(v + 8) = 8
Answer:
v = 10
Step-by-step explanation:
Answer:
v = 6
Step-by-step explanation:
8 v - 4 ( v + 8 ) = 8
8 v - 4 v - 32 = 8
4 v - 32 = 8
4 v = 8 + 32
4 v = 40
v = 40 / 4
v = 10
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
A.Hypotenuse
Step-by-step explanation:
Side AB is the longest side of the triangle
The longest side of a triangle is known as the hypotenuse
The probability can be written as:
Fraction
Decimal
Percent
All of the above
PLEASE HELP ME I DONT GET IT
Answer:
A) y = 2x
Step-by-step explanation:
On a recent trip to New York City, Mr. Kelly went to the top of the Empire State Building. He knows that the Empire State building is 1250 feet high, but he wants to figure out how tall the building across the street is (its 100 feet across the street). He measures the angle of depression from the Empire State Building to the roof of the adjacent building to be 23°. How tall is the building across the street from the Empire State Building?
Answer:
teri maa ki chut me mera land madarchod sale gand marunga teri
Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?
Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5
Answer:
3.5
Step-by-step explanation:
Is the graph increasing, decreasing, or constant? I need help with it!!
Answer:Decreasing
Step-by-step explanation:
The line is going down.
The given graph is decreasing. The correct option is A.
Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.
Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.
Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.
In given figure the line goes to downwards and the vales of y is decreasing for the increasing values of x.
Hence, the given graph is decreasing. The correct option is A.
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What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...
Answer:
D
Step-by-step explanation:
The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.
Here d = - 1 - (- 7) = - 1 + 7 = 6 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
Which of the following is the equation of a line that passes though the points (2,5) and (4,3)
Answer:
y= -1x+7
or
y = -1x + b
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(2,5) and (4,3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.
Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.
Now, just plug the numbers into the formula for m above, like this:
m=
3 - 5
4 - 2
or...
m=
-2
2
or...
m=-1
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=-1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(2,5). When x of the line is 2, y of the line must be 5.
(4,3). When x of the line is 4, y of the line must be 3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.
(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(2,5) and (4,3)
is
y=-1x+7
Please help me-
On a piece of paper, graph f(x) = {6 if -5 < x < -1
{4 if -1 < x < 2
{2 if 2< x < 5 .
Then determine which
answer choice matches the graph you drew.
Explanation:
You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.
The first line (y = 6) is only graphed when [tex]-5 < x \le -1[/tex]The second line (y = 4) is only graphed when [tex]-1 < x \le 2[/tex]The third line (y = 2) is only graphed when [tex]2 < x \le 5[/tex]That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.
Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.
Answer:
A
Step-by-step explanation:
A rectangular plot of land is 40 feet long and 25 feet wide. How long is a walkway along the diagonal?
Answer:
25 ft
Step-by-step explanation:
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answer:
First Option
Step-by-step explanation:
explain how you can use a model to find 4 x 3/4 include a drawing and a solution
Answer:
4 x 3/4 = 3
Step-by-step explanation:
Find the value of x segment addition
Answer:
6
Step-by-step explanation:
4+x-3=2x-5
1+x=2×-5
2x-x=6
x=6
What is the area please
Answer:
A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)
A2 = Square (3×5=15)
Add A1 + A2 to get the total area = 73.5
The point (12, 5) is on the terminal side of angle θ.
cos θ =
cot θ =
Step-by-step explanation:
The point (12, 5)
x = 12, y = 5
=> r =√12²+5² =√144+25= √169=13
so, cos θ = x/r = 12/13 and
cot θ = x/y = 12/5
Pls answer……………………..
Answer:
They are not congruent because the lines aren't parallel.
Step-by-step explanation:
For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.