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]
STEP BY STEP EXPLANATION BOIZ:
A) AB + BC × 2 + AE = 21
B) The value of x is 1.3
Simplify 18 1/2 + (-7 4/8)
ASAP pls
Answer:
11
Step-by-step explanation:
18 1/2 + (-7 4/8)
Simplify the fraction
18 1/2 + (-7 1/2)
Subtract the whole numbers
18-7 = 11
Subtract the fractions
1/2 -1/2 =0
Answer:
11
Step-by-step explanation:
18 1/2 + (-7 4/8)
18 1/2 +)- 7 1/2
(18-7) + (½-½)
11 + 0
11
Jackson bought six pairs of socks for $5 each. The tax on the purchase was 6%. What was the total cost of his purchase?
Answer:
Step-by-step explanation:
First you multiply 5x6= 30
30x.06= 1.8
30+ 1.8 =31.8
Answer:
31.8
step-by-step explanation:
5*6+6%=31.8
Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Solve for K: 40 + K = 56
K=
Answer:
k=16
Step-by-step explanation:
To solve this, we can isolate k.
40+k=56.
We can do this by subracting 40 from both sides.
40+k-40=k
56-40=16
k=16
First isolate or get k by itself by subtracting 40 from both sides.
That leaves us with k = 16.
To check our answer, substitute 16 back into the equation.
So we have 40 + (16) = 56 or 56 = 56.
Match the description with the number of possible outcomes.
choosing a card from a deck
2
rolling a number cube
6
flipping a coin
4
spinning a 4-color spinner
52
Answer:
here is the correct answer :D
Step-by-step explanation:
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.
You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased
Answer:
Lose $1.70 for each ticket you purchase
Step-by-step explanation:
($500 x 1/2000) + ($50 x 2/2000) - $2
$0.25 + $0.05 - $2
-$1.70
A point is chosen randomly on AD. What is the probability that the point is on BC?
Please i need help my homework is really hard
.
Answer:
f' (n)=9
Step-by-step explanation:
is this what you were looking for?
In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?
A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2
Answer:
a)400V2 plus 3,600 m2
Step-by-step explanation:
Answer:
400V2 + 3,600 m2
Step-by-step explanation:
Got it right on edge
Question 4 Please help. If circle A is dilated so that it is the same size as circle B, which transformations could be performed next to show that the circles are similar?
Select all that apply.
There are 3 Answers:
Choice A) reflect the dilated circle over the horizontal line through point C.
Choice D) rotate the dilated circle 180 degrees around point C
Choice E) translate the dilated circle to center B
Due to symmetry, rotations and reflections do not change a circle. This is why we are able to rotate around point C so that it looks like a translation has occurred. A similar thing happens with reflections as well.
The correct Answers:
A) reflect the dilated circle over the horizontal line through point C.
D) rotate the dilated circle 180 degrees around point C
E) translate the dilated circle to center B
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given is circle A is dilated so that it is the same size as circle B, we need to determine the transformations performed to show that the circles are similar.
We know that,
Due to symmetry, rotations and reflections do not change a circle.
So, rotate around point C so that it looks like a translation has occurred.
A similar thing happens with reflections as well.
Hence, the correct options are A, D and E
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Solve: 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5)
25/45 + (-36/45)
(Multiplied each side by opposite denom.)
25/45 -36/45
Simplify
25-36=-11
-11/45
Cannot simpfily
Answer:
Step-by-step explanation:
5/9 + (-4/5)
-11/45 or − 0.244444444 and on and on forever
guys i need help lol
Answer:
x = 17°, m∠ A = 114°
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
x = 17 ⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
m∠ A = 114
Solution; x = 17°, m∠ A = 114°
Answer:
x = 17, ∠A = 114°
Step-by-step explanation:
I'm 8 years old and I know how to do this.
6x + 12 = 3x + 63
3x + 12 = 63
3x = 51
x = 17
6(17) + 12
102 + 12 = 114
Seth wants to cover the top of a small table with glass parallelogram tiles. The top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches, about how many tiles will he need? 26 42 63 84
Answer:
42
Step-by-step explanation:
edge 2022 :) I hope I helped a bit credit to the comment above me
The number of tiles he will need 42.
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
We are given that top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches.
Area of table = Base x Height
= 18 x 14
= 252
Area of glass parallelogram tiles = Length x width
= 3 x 2
= 6
Now,
252 = 6 x number of tiles
number of tiles = 252 / 6
= 42
Learn more about the area;
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Complete the expansion of this expression by finding the values of the capitalised pronumerals.
3x(6y+4+2x)+3x(y+x)+2y=Ax^2+Bx+Cxy+Dy
A=?
B=?
C=?
D=?
Please Help!!!!! Extra points and brainiest will be given.
Find the volume of the cylinder in terms of pi.
Answer:
The volume of the cylinder would be 226.19in however if you need it in terms of pi it would be V = 72 π in3
Step-by-step explanation:
V=πr2h=π·62·2≈226.19467, hope I was able to help you
And that is basically what you have to do
Answer:
72π inches^3
Step-by-step explanation:
The volume of a cylinder can be found using:
v=πr^2h
We know that the radius is 6 inches, and the height is 2 inches. So, we can substitute 6 in for r, and 2 in for h.
v= π 6^2 *2
Evaluate the exponent
v= π 36*2
Multiply 36 and 2
v= π72
So, the volume in terms of pi is:
72π inches^3
Add and simplify.
X+2x/x+1
Answer:
x+3
Step-by-step explanation:
x+2x1+1
x+2+1
x+3
Answer:
x+3
Step-by-step explanation:
x+ 2x /x+1
= x2+3x /x
=x+3
Water is draining from an aquarium at a rate of
3 gallons per minute. Write a multiplication expression using integers to show the total change to the amount of water in the aquarium after 45 minutes of draining. Then determine and explain that amount.
135 gallons of water in the aquarium after 45 minutes of draining.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that water is draining from an aquarium at a rate of 3 gallons per minute.
The total change in the amount of water in the aquarium after 45 minutes of draining is as:
⇒ 45×3
Apply the multiplication operation in the integers,
⇒ 135 gallons
Hence, 135 gallons of water in the aquarium after 45 minutes of draining.
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Factor
x^2−6x+8
(x+4)(x−2)
(x+4)(x+2)
(x−4)(x+2)
(x−4)(x−2)
Answer:
(x-4)(x-2)
Step-by-step explanation:
Using The AC Method
I have no clue! Please help!
Identify the x and y intercept.
A. x intercept: (2,0) y intercept: (0,-3)
B. x intercept: (-3,0) y intercept: (0,2)
C. x intercept: (2-3) y intercept: (2,-3)
D. x intercept: (2,-3) y intercept: (-3,2)
Answer:
Bro write the question better
Step-by-step explanation:
PLS HELP 50 POINTS
Which function can be used to model the graphed geometric sequence?
f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)
Answer:
f(x+1)=(5/6)f(x)on: Five-sixths Superscript f (x)
EXPLANATION:
The defining characteristic of a geometric sequence is that each term is a constant multiple of the previous term, called the common ratio denoted r in the rules for geometric equations.
625/750=750/900=etc=r=5/6
The function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
What is the general equation of a Straight line? What is a Geometric sequence?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
A geometric sequence is a sequence such that -
a(n + 1)/a(n) = K {constant}
[K] is called common ratio.
Given is a graph representing a geometric sequence.
Now, for -
f(2) = 1080
and
f(1) = 1296
So -
f(2)/f(1) = 1080/1296 = 5/6
In general -
f(x + 1)/f(x) = 5/6
f(x + 1) = 5/6 f(x)
Therefore, the function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).
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[REFER TO IMAGE ATTACHED FOR QUESTION]
What is the least common multiple of 12 and 18?
Look at the attached picture
hope it will be helpful to you..
Determine whether the given point (2, -2) lies on the line 3x – y = 4.
Answer:
Step-by-step explanation:
3(2) + 2 = 4
6 + 2 = 4
8 is not equal to 4
Therefore (2,-2) does not equal
Please help me !!!!!
Answer:
15 units
Step-by-step explanation:
A parabola has a vertex at (3, -2). What is the axis of symmetry? x = _____
-2
3
-3
2
Answer:
x =3
Step-by-step explanation:
The axis of symmetry is at the vertex
The x coordinate gives the axis of symmetry
x =3
Answer:
x = 3.
Step-by-step explanation:
The equation of the parabola is
f(x) = a(x - 3)^2 - 2 where the vertex is (3, -2).
The axis of symmetry passes though x = 3
If an angle is supplementary and one measures 70° what is the measure if the other angle?
Answer:
The other angle is 110
Step-by-step explanation:
Supplementary angles add to 180
Let x be the other angle
70+x = 180
Subtract 70 from each side
70+x-70 = 180-70
x = 110
What percentage of temperatures are below 55 degrees
Answer:
D) 20%
Step-by-step explanation:
Answer: The answer is B. 25%
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!
Answer:
150
Step-by-step explanation:
You need to add 60 to the 90 and then check it by doing 60% of 150.
Hope this helps.
Answer: 150 is the answer
Step-by-step explanation:
Jake is wrapping a gift that is in a box with the following dimensions.
Length: 12 inches
Width: 4 inches
Height: 8 inches
Havana is wrapping a gift whose box's dimensions are all twice the length of the lengths in Jake's box. How many times larger is the surface area of Havana's box than Jake's box?
Answer:
Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:
SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Step-by-step explanation: