Answers
You start by setting the top and bottom equal to each other to define x
5x-18=2x+12
X=10
Then apply this 10 wherever x is needed
Therefore
AB=32
BC=24
CD=32
And because every opposite side is equal, AD=24
So for perimeter add them up
Answer is 112
Related Questions
A four-sided figure is resized to create a scaled copy.
Answers
Answer:
2/9 or 9/2
Step-by-step explanation:
The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)
If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.
Hope this helps! :)
Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?
Answers
The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Dots sells T-shirts ($5) and shorts ($9).
In April, total sales were $570. People bought 2 times as many T-shirts as shorts.Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,
[tex]5x+9y=570[/tex]
Solve it further,
[tex]5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}[/tex] ....1
People bought 2 times as many T-shirts as shorts. Thus,
[tex]x=2y[/tex] ....1
Put the value of y form equation in this equation as,
[tex]x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60[/tex]
Put this value of x in equation 2 as,
[tex]x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30[/tex]
Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
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HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST
The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12,
14, 19, 20, 9, 15, 17, and 11. identify the box-and-whisker plot for this data.
Answers
Answer:
B
Step-by-step explanation:
Median value = 14 ( the number in the middle of the ascending-order list)
2 quartile 25% are below 11
3 quartile 25% are above 18
min 9 max = 20
Answer:
i think it's b
Step-by-step explanation:
PLEASE HELP ASAP
what is an equation of the line that passes through the points (2,-3) and (2,6)
Answers
Answer:
x = 2
Step-by-step explanation:
The two points have the same x-coordinates, so lie on the same vertical line:
x = 2
The graphs below have the same shape. What is the equation of the graph of g(x)?
A. g(x)=x²-2
B. g(x) = (x + 2)²
C. g(x)=(x-2)^2
D. g(x)=x^2+2
Answers
Answer:
B. g(x) = (x + 2)²
Step-by-step explanation:
We got the graph of g by translating the graph of the parent function
f(x) = x² two units to the left
Therefore the equation of the graph of g is (x + 2)²
Is there a way to find all the factor pairs for a big number like 805 quickly
Answers
Answer:
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Step-by-step explanation:
A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Hello I really need help with this
Answers
Answer:
7
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{AC}{DF} = \frac{AB}{DE}[/tex]35/? = 20/435/? = 5? = 35/5? = 7Answer:
7
Step-by-step explanation:
Given,
△ABC ~ △DEF
( ~ means similar )
To find : missing side length
Similar triangle rule : -
If two triangles are similar, their corresponding sides are similar.
So,
AB ~ DE
BC ~ EF
AC ~ DF
Let the missing side length ( DF ) be " x ".
Note : -
When the corresponding sides are divided, their ratios will be same.
That is,
AB / DE
= 20 / 4
= 5 / 1
= 5 : 1
BC / EF
= 40 / 8
= 5 / 1
= 5 : 1
AC / DF should also be equal to 5 : 1.
AC / DF = 5 : 1
35 / x = 5 / 1
Cross multiply,
x * 5 = 35 * 1
5x = 35
Divide 5 on both sides,
x = 35 / 5
x = 7
Therefore,
the missing side length is 7.
The dot plot below shows the hourly rate of some babysitters in a city:
A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.
Which statement best describes the shape of the data?
It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has gaps.
It is not symmetric and has a peak at $4.00.
It is symmetric and has a peak at $7.00.
PLEASE JUST SAY A B C OR D DONT NEED TO EXPLAIN JUST PUT ONE AND YOU WILL GET BRAINLIEST :DDD
Answers
Answer:
It is a cluster from $1.00 to $7.00 and
has no gaps.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Solve by factoring y=4x^2-24x+36
Answers
Answer:
(x-3) (x-3)
Step-by-step explanation:
[tex]4x {}^{2} - 24x + 36 \\ dividing \: through \: by \: 4 \\ x {}^{2} - 6x { }^{} + 9 \\ two \: numbers \: such \: that \: when \: you \: add \: them \: they \: give \: you \: - 6 \: and \: when \: you \: multiply \: them \: they \: give \: 9 \\ the \: numbers \: are \: \: - 3 \: and \: - 3 \\ x {}^{2} - 3x - 3x + 9 \\ x( x - 3) - 3(x - 3) \\ (x - 3)(x - 3)[/tex]
Find the slope of the graph of C
Answers
Step-by-step explanation:
the slope of a line or linear equation is always the factor of the driving variable.
usually in the form of
y = ax + b
x is the variable, and a the slope.
but in our case the variable is called "n".
it does not matter, the same principle applies.
the slope is the factor of n : 1050.
and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.
so, the third answer is correct.
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
Answers
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
Please help explain, tyy
Answers
Answer:
3. (3, 6)
4. (3, 7)
5. (3, 36)
Step-by-step explanation:
These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.
Help!, Help! Brainliest Available to Best Answer!
Just find x
Answers
Answer:
x = 50°
Step-by-step explanation:
Let's make 2 equations based on the properties of the triangles :
Applying Exterior Angle Property :
x + 2∠1 = 2√2 (taking ΔABC in perspective)∠1 + 25 = √2 (taking ΔBDC in perspective)Divide equation 1 by 2 :
⇒ 1/2 (x + 2∠1) = 1/2 x (2∠2)
⇒ x/2 + ∠1 = ∠2
⇒ ∠2 - ∠1 = x/2
Similarly, rewrite equation 2 :
⇒ ∠1 + 25 = ∠2
⇒ ∠2 - ∠1 = 25
From these 2 equations, we get :
⇒ x/2 = 25
⇒ x = 25 × 2
⇒ x = 50°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's consider the figure with two triangles,
Angle b is divided into two equal parts :
let's name each of them as y ~and similarly
Exterior angle C is divided into two equal parts :
let's name each of them z ~Now, according to exterior Angle property :
In Triangle ABC
[tex]\qquad \sf \dashrightarrow \:2y + x = 2z \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \: 2z - 2y = x \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:2(z - y) = x[/tex]
[tex]\qquad \sf \dashrightarrow \:z - y = \dfrac{x}{2} \: \: \: \: \: \: \: - (1)[/tex]
and in Triangle BDC
[tex]\qquad \sf \dashrightarrow \:y + 25 = z \: \: \: \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:z - y = 25 \: \: \: \: \: \: \: - (2)[/tex]
equate equation (1) and (2) :
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{2} = 25[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}{} = 25 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}{} = 50 \degree[/tex]
What is the perimeter of rhombus ABCD?
10 units
20 units
2√7 units
4√7 units
Answers
Answer:
The perimeter of the rhombus is 20 units
Step-by-step explanation:
One important fact about a rhombus is that all four of its sides are equal, so we only need to solve for one side in order to find the perimeter. We can use the Pythagorean Theorem to solve the side length of the rhombus. Using line AD as a reference, we know that the length of AD is the square root of the change in x squared plus the change in y squared, or [tex]\sqrt{3^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex] units. Multiply the length of AD by 4 and you'll get that the perimeter of rhombus ABCD is 5 × 4 = 20 un.
The perimeter of the rhombus ABCD is 20 units.
Option B is the correct answer.
What is a rhombus?A rhombus is a quadrilateral that has four equal sides.
Some of the properties we need to know are:
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add upto 180 degrees.
We have,
We can use the distance formula to find the length of each side of the rhombus, and then add them up to find the perimeter.
The distance between points A and B is:
[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\= \sqrt{(-2 - 1)^2 + (-3 - 1)^2}\\ = \sqrt{9 + 16}\\= \sqrt(25) \\= 5[/tex]
The distance between points B and C is:
[tex]BC = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\= \sqrt{(-5 - (-2))^2 + (1 - (-3))^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\= 5[/tex]
The distance between points C and D is:
[tex]CD = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(-2 - (-5))^2 + (5 - 1)^2}\\ = \sqrt{9 + 16}\\ = \sqrt{25}\\ = 5[/tex]
The distance between points D and A is:
[tex]DA = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(1 - (-2))^2 + (1 - 5)^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\ = 5[/tex]
Since a rhombus has all sides of equal length, we can add up the lengths of the sides to find the perimeter:
P = AB + BC + CD + DA = 5 + 5 + 5 + 5 = 20
Therefore,
The perimeter of the rhombus ABCD is 20 units.
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PLEASE HELP!!!!!!!!!!!!!!
Answers
Answer:
Everything is in the picture
can someone help me with this question that is attached?
Answers
The value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2
Determining the value of a functionFrom the question, we are to determine the value of f(g(x)) in the form a + bxⁿ
From the given information,
[tex]f(x) = \frac{x}{x+5}[/tex]
and
[tex]g(x) = x^{2} -5[/tex]
Then,
[tex]f(g(x)) = \frac{(x^{2} -5)}{(x^{2} -5) +5}[/tex]
∴ [tex]f(g(x)) = \frac{x^{2} -5}{x^{2} }[/tex]
Simplifying
[tex]f(g(x)) = \frac{x^{2} }{x^{2} } -\frac{5}{x^{2}}[/tex]
[tex]f(g(x)) = 1 -\frac{5}{x^{2}}[/tex]
[tex]f(g(x)) = 1 -5x^{-2}[/tex]
Hence, the value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2.
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Please help I’m very confused
Answers
Answer:
C. 21 1/9
Step-by-step explanation:
6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9
Proving Parallelogram
Answers
Answer:
Soln.
Given that we have proven:AB =CD and BC=DA
we will be said that the A and C is the angle of 90° and we will add the letters to get the results so let's started the A+90°+ 90°+ B+C+ D=90°
A+180°+B+C+D
180°+90°
=270°
1 Square yard = what Square inches
Answers
Answer: 1296 square inches
Step-by-step explanation:
1 square yard is 36 times 36 square inches
36 times 36 is 1296 square inches
Liam's mass is 102.1 kg
Choose the best approximation of Liam's mass.
Choose 1 answer:
A.) 1*10^1 kg
B.) 1*10^2 kg
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000
Choose the best approximation of the Earth's mass.
Choose 1 answer:
A.) 6*10^21
B.) 6*10^24
Approximately how many times as large is the Earth's mass as Liam's mass?
Choose 1 answer:
A.) 6*10^20
B.) 6*10^21
C.) 6*10^22
Answers
First one is B second one is B last one is C
An object has a mass of 180 g and a volume of 9 cm³.
Find the density of the object in g/cm³.
g/cm³
Answers
Answer:
20 g/cm³
Step-by-step explanation:
mass = 180g
volume = 9 cm³
density =mass/volume
=180/9= 20 g/cm³
The perimeter of a rectangular field is 48m, if the length is twice the width . Find the area of the field.
Answers
Answer:
Step-by-step explanation:
→Perimeter (P) = 2×(L+W) Perimeter = 48m
But Length = 2 × Width
∴ P = 2×( 2W + W)
= 2×(3W)
48 = 6W
Divide both sides by 6
[tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W
∴Width (W) = 8m
→This means Length = 2W
= 2×8m
L = 16m
→Area of a rectangle = L × W
= 8m × 16m
∴ Area of the rectangular field= [tex]128m^{2}[/tex]
In Autobiography by Abraham Lincoln Lincoln avoids embellishing on his own life and keeps his portrayal of his life very______.
A.neutral
B. negative
C. humorous
Answers
75 points Dilations of Segments and Angles
CD is dilated by a scale factor of 3/4 to form C ′ D ′ . CD measures 2. What is the measure of C ′ D ′ ?
Answers
Answer
0.823742
Step-by-step explanation:
just a genius
Simplify the following expression using prim factorization 9+2*24
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression 9 + (2×24) is 57.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The prime factorization of the expression can be done as,
9 + (2×24)
= (3×3) + (2×2×2×2×3)
= 3 [3+(2×2×2×2)]
= 3 [3 + 16]
= 3 (19)
= 57
Hence, the simplification of the given expression 9 + (2×24) is 57.
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A tennis ball is launched straight up from a height of 4 feet with an initial velocity of 64 feet per second. Use the
equation h(t) = -16ť² + vot+h, to determine when the tennis ball will be 52 feet in the air. Select all that apply.
01 second
2 seconds
3 seconds
5 seconds
6 seconds
Answers
When the ball hits the ground,
h=0
vt�16t^2=0
64t-16t^2=0..
t(64-16t)=0
t=0 (reject, not reasonable)
or
64-16t=0
16t=64
t=64/16=4
How long will it take for the ball to hit the ground? 4 seconds
a Sam purchases a home for $1, 240, 500. Each year the value of the home appreciates by 3%. What is the value of the home after 6 years?
Answers
Answer:
lol
Step-by-step explanation:
Which is the graph of f(x)=3^x
Answers
The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.
How to determine the graph associated with a given function
In this question we must compare a given exponential function with a set formed by four functions. As the function is crescent and monotonous, then we can choose the correct graph by a evaluating the function for a given x-value and find the graph that matches with such finding:
f(5) = 3⁵
f(5) = 243
The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.
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What is the measurement of angle C?
Answers
Answer:
84 degrees
Step-by-step explanation:
180-96=84
Solve |x|+7<4.
A.) {x|x<-11 or x>-3}
B.) ∅
C.) {x|-3
Answers
Answer:
No solutions
Step-by-step explanation:
Given inequality,
|x|+7<4To Find:
Value of x in the inequality.
Solution:
Add -7 to both sides
= |x|+7+(−7)<4+(−7)= |x|<−3Find absolute value
No solutionsWhy?
Reason:Because, absolute values can't be less than 0.
