Answer:
10x + 8 = 21
x = 1.3
Step-by-step explanation:
a)
In pentagon ABCDE,
AB = DE = 2x + 3 and BC = CD = x + 1
Perimeter of pentagon ABCDE = 21
4x + 2(2x + 3) + 2(x + 1) = 21
4x + 4x + 6 + 2x + 2 = 21
[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]
b)
10x = 21 - 8
10x = 13
[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]
how many solutions does : 3y = -6x + 9
y = -6x + 9
Answer:
Exactly 1 solution
Step-by-step explanation:
First we must disrupte3y+27=12y+13
Next we switch one number to the other side27=9y+13
Now we must switch the other number14=9y
Now we must solve by dividing 14 by 9y=1.555
This is one solution, so we now have our answer.
The equation has only one solution. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equations are given below.
3y = -6x + 9
y = -2x + 3 ...1
y = -6x + 9 ...2
From equations 1 and 2, then we have
-2x + 3 = -6x + 9
4x = 6
x = 6/4
x = 1.5
Then the value of the variable 'y' is calculated as,
y = -2x + 3
y = -2(1.5) + 3
y = - 3 + 3
y = 0
The solution of the equation y = -2x + 3 and y = -6x + 9 will be (1.5, 0). Then the equation has only one solution. Then the correct option is A.
More about the solution of the equation link is given below.
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Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE
The measure of an exterior angle of a triangle is equal to which of the following measures?
A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles
Answer:
C. The sum of the measures of the interior angles
Step-by-step explanation:
An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.
• The exterior angles (taken one at a vertex) always total 360º
You have a square prism with a base side length of 8 in. and a height of 14 in. And a sphere with a diameter of 12 in.
A. Which figure has the lesser volume? SHOW ALL WORK
B. Would the same be true if the height of the prism was 14.2in? SHOW ALL WORK EXPLAIN
Look at the attached picture
Hope it will help you
Good luck on your assignment
What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?
Answer:
The area of the base is 14.5π in²
Step-by-step explanation:
The volume of a cylinder is given by
Volume =base\:area \times height
Or
V=Bh
It was given that the volume of the cylinder is 174π in³.
The height was given as 12 inches.
We substitute to get,
174π=12B
Divide both sides by 12 to get:
B=14.5π in²
Hence the area of the base is 14.5π in²
Hope this helpsBrainliest plzand have a wonderful dayAnswer:
area of base = 14.5π in²
Step-by-step explanation:
the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:
V = πr²h
Here the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:
V = πr²(12 in) = 174 π in³
Dividing both sides by 12 in isolates πr², which is the area of the base:
174π in³
area of base = πr² = --------------- = 14.5π in²
12 in
What is the solution to the inequality |X-4|<3?
-7
1
x < -7 or x < -1
x> 1 or x<7
mutlak değerden + veya- çıkar.
|X-4|<3
-3 <x-4 <3
-3+4 <x <3+4
1 <x <7
The solution to the inequality |x-4| < 3 is x> 1 or x<7
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
|x-4| < 3.
Simplifying,
-3 < x - 4 < 3
Adding 4 to all sides,
1 < x < 7
Therefore, the solution is 1 < x < 7.
To learn more about the inequality;
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Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter
Answer:
The Correct Answer Is C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
Learn more about addition;
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Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2
The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has been collecting video games for a year. The table below shows how many games she has received over the year.
Amount of video games
Birthday 4
Holidays 8
School trades 6
Then the total number of the video games will be
⇒ 4 + 8 + 6
At the end of the year, she went to a store and sold half of her video games.
⇒ (4 + 8 + 6) / 2
⇒ (4 + 8 + 6) : 2
Then the expression C is correct.
More about the Algebra link is given below.
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The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answer:
First one:
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
Step-by-step explanation:
4 x - 5 y = -5 (1)
3 x + 10 y = -20 (2)
Multiply (1) by 2 and add to (×)
8x - 10y = -10
3x + 10y = -20
11x = -30
x = -30/11 = -2.727272
x = -2.7
4(-30/11) - 5y = -5
5y = -65/11
y = -13/11 = -1.18181818
y = -1.2
Answer:
4 x - 5 y = - 5 and 3 x + 10 y = - 20
Step-by-step explanation:
4 x - 5 y = -5 (1)
3 x + 10 y = -20 (2)
Multiply (1) by 2 and add to (×)
8x - 10y = -10
3x + 10y = -20
11x = -30
x = -30/11 = -2.727272
x = -2.7
4(-30/11) - 5y = -5
5y = -65/11
y = -13/11 = -1.18181818
y = -1.2
hope this helps..
Which value in this data set is an outlier?
4,5, 1, 7,4,5,8,9,6,5,4,9,7
O A 1
OB. 2
3
OD
9
Answer:
1 is the out lier
Step-by-step explanation:
if you put them in order: 1, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9
They are in order exept for the one.
A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?
Answer:
Area is: 1,728 inches
Perimeter is: 168 inches
Step-by-step explanation:
Area= Length times width
Perimeter= length plus length plus width plus width.
Answer:
1.728 is the perimeter. the area is 84.
Step-by-step explanation:
all you do multiply for perimeter and add for area.
How many tenths is 0.4
0.4 has 4 tenths
Look at 0.4 as 0.40
Divide the 40 by 10 and get 4
-Hope this helped!
Answer:
The are 4 tenths in 0.4
Step-by-step explanation:
This is because when looking at a place value table the digit 4 is in the tenths column and so means there are 4 tenths.
To work this out you would look at what place are the tenths and then look at the digit in the corresponding place
determine the intercept of the line
Answer:
X intercept is (-8,0), Y intercept is (-6,0)
Step-by-step explanation:
The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).
Answer:
There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.
Step-by-step explanation:
Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.
Answer:
C=5n
Step-by-step explanation:
A linear function
Directly proportional
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
3[x+4)
2[x+8)+x
4(x-3) -
03(x+1)+9x
Answer:
A. 3(x + 4)
Step-by-step explanation:
All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.
The equation given is:
3(x + 1) + 9 = 0
Expanding the left hand side and factorising:
3x + 3 + 9
=> 3x + 12
=> 3(x + 4)
Therefore, the expression that can be written on the other side is 3(x + 4)
Answer:
C
Step-by-step explanation:
just finished it on edge and got a 100 :)
Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
C11 is the correct answer
Step-by-step explanation:
What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)
Answer:
-2,5
Step-by-step explanation:
Find the volume of this figure
Answer:
74
Step-by-step explanation:
you find the volume of each one by doing length * width * height and once you find the volume of all of them which is 36, 2, 36 you add them all together and you get 74
Answer:
74 ft
Step-by-step explanation:
Volume = length x width x height
For the 1st square - 3 x 3 x 4
For the rectangle in the middle - 1 x 1 x 2
For the last big square - 3 x 3 x 4
___________________________________
3 x 3 x 4 = 36
3 x 3 x 4 = 36
1 x 1 x 2 = 2
___________________________________
36 + 36 + 2 = 74
___________________________________
The volume of this figure is 74 ft
Please mark me as brainliest!!!
f(x) = 5x^2 - x + 8
g(x) = 9x - 1
Answer:
Step-by-step explanation:
But there is not a question?
Which point lies on the y-axis
Answer:
the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:
the y axis is the vertical line the x axis is the horizontal lineStep-by-step
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(3x^2 + 8x + 7) (7x^2)
Answer:
[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]
Step-by-step explanation:
When we multiply the two sides together, we get:
(3x²·7x²) + (8x·7x²) + (7·7x²) =
[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]
This is the polynomial in standard form.
I need help on this question
Answer:
im sorry but google?
Step-by-step explanation:
i guess
Answer:
4.5 pi
Step-by-step explanation:
First find the area of a circle with the same radius
The diameter is 6 so the radius is 1/2 d = 1/2(6) =3
A = pi r^2
A = pi (3)^2
A = 9 pi
This is a semi circle of half a circle so the area is 1/2
A of the semicircle
9/2 pi
4.5 pi
What are all the numbers congruent to #1?
Answer: All angles are congruient to 1
Step-by-step explanation:
So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.
Answer: it is 90
Step-by-step explanation: so they are all congruent
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
find the missing angle in the triangle
Answer:
45
Step-by-step explanation:
Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!
PLS HELP question in picture
Answer:
yankee with no brim
Step-by-step explanation:
Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2
Answer:
Shift left 1 and down 2
Step-by-step explanation:
what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK
Answer:
To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
Step-by-step explanation:
Answer:
For a rectangle, you get the length and width and multiply them
For a Square, you have to find one side length and mulitply it by itself
or you can split the square with a diagonal into 2 triangles, get the area of each and add them up
or split the square in half and find the area of both rectangles and then add them together
Step-by-step explanation:
For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25