The missing side length that would result in an equal area of both figures is the square root of the length of the corresponding side in the other figure.
What is side length?
To determine the missing side length that would result in an equal area of both figures, we need to set up an equation for the area of each figure and then solve for the missing side length.
Let's assume that we have two similar figures, one with side lengths x and y, and another with side lengths a and b. We know that the ratio of corresponding side lengths is equal for similar figures, so we can write:
a/x = b/y
This can be rearranged to solve for one of the missing side lengths. For example, if we want to solve for a, we can multiply both sides by x:
a = (b/y) * x
Now we can use the area formula for each figure:
Area of first figure = xy
Area of second figure = ab
We want these areas to be equal, so we can set up an equation:
xy = ab
Substituting our expression for a, we get:
xy = ((b/y) * x) * b
Simplifying, we get:
xy = bx/y
Multiplying both sides by y, we get:
xy² = bx
Finally, we can solve for the missing side length y:
y² = (bx)/x
y² = b
y = √b
So the missing side length that would result in an equal area of both figures is the square root of the length of the corresponding side in the other figure.
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Complete question is: The missing side length that would result in an equal area of both figures is the square root of the length of the corresponding side in the other figure.
Which shapes are similar but not congruent to shape 1
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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Ill give brainliest!!!!! I need the answers to this pleaseeee!!!!!!
Answer: both of them made ok estimates but i think issacs was better. hope this helps! ^-^
Step-by-step explanation:
The weather forecast shows a 60% chance of rain. If it does not rain then there is an 80% chance of going to the beach. What is the probability of going to the beach?
Answer: 32% probability of going to the beach given the information provided in the weather forecast.
Step-by-step explanation:
The probability of going to the beach is equal to the probability of it not raining times the probability of going to the beach if it does not rain. Therefore, the probability of going to the beach is equal to (1 - 0.6) * 0.8 = 0.4 * 0.8 = 0.32.
millions of dollars of the movie "Avatar" for successive Fridays
The following table shows the daily receipts
after its opening on Friday 18 December 2009.
Order of Operations
Monika created a secret message to tell one of her friends about her visit to the zoo. To discover
Monika’s secret message, solve each problem in the spaces below. Find the letter that corresponds to
the problem. Then, place the letter in the secret message, above the correct answer to the problem.
Make sure to show all your work.
What is Monika’s secret message?
The values of the expression will be:
1. (1/2)³ - 1/7(5/8 - 1/3) + 4/9 ÷ 2 2/3 = 0
2. 5.9 + 6.3 ÷ 3 + 1.4 will be 9.4.
How to calculate the value?It should be noted that on Mathematics, the order of operation that's used is PEDMAS. it should be noted that this implies exponents, multiplication, division, addition, and subtraction.
1. (1/2)³ - 1/7(5/8 - 1/3) + 4/9 ÷ 2 2/3
= 1/8 - 7/24 + (4/9 × 3/8)
= 1/8 - 7/24 + 1/6
= 3/24 - 7/24 + 4/24
= 0
2. Therefore, 5.9 + 6.3 ÷ 3 + 1.4 will be:
= 5.9 + 2.1 + 1.4
= 9.4
Therefore, it should be noted that the order of operations based on the information 5.9 + 6.3 ÷ 3 + 1.4 will be 9.4.
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find the solution set 2x+1+2=4
Step-by-step explanation:
2x+1+2=4
2x=4-2-1
2x=4-3
2x=1
DIVIDE BOTH SIDES BY 2
2x/2 = 1/2
x = 1/2
Answer:
2x+1+2=4
2×=4-3
2× =1
2×/2=1/2
× = 1/2
Which of the following is a benefit to using a random sample for an observational study?
Answer:
Step-by-step explanation:
Even though no answer choices are given, the main benefit of this is that by choosing a randomly from a population it allows every single individual to have the same chance of getting chosen and observed. This randomness allows for that sample group to much more accurately represent the entire population that is being observed without having to conduct additional research. Therefore, becoming extremely useful in such studies.
A sample is a group that is taken out of the population to be tested.
A random sampling occurs when subjects are being selected for a study
The benefit of using random sampling is that each subject in the population is equally likely to be selected and the resulting sample is likely representative of the population.
Random sampling allows for unbiased estimates to be created, but at the cost of efficiency within the research process
Some advantages of random sampling shown below,
It has less risk of carrying an error.There is an equal chance of selection.It requires less knowledge to complete the research.Learn more:
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What is the measure of Q?
Answer:
<Q = 30
Step-by-step explanation:
2x + 70 + x - 10 = 180
3x + 60 = 180
3x = 120
x = 40
x - 10
40 - 10
30
<Q = 30 because of vertical angles
i need help this is effecting my grade please help it would make my day
Answer:
8
Step-by-step explanation:
-32/-4 the minus takes out the second minus then we are left with 32/4which makes the answer a positive 8
Wholesale price: $12.75
Percent markup: 40%
Answer:
17.85
Step-by-step explanation:
12.75 multiplied by .40 = 5.10
5.10 + 12.75 = 17.85
Pls help urgently extra points and mark brainlist
Answer:
It is the last one.
Step-by-step explanation:
first one:4 and 10 is not prime, but still equal 80
So, turn 4 and 10 into prime numbers
1. 10=2x5
2.4=2x2
3. 80's prime factorzation: 2x2x2x2x5
Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
A population grew from 100,000 in 1990 to 124.000 in 2000. What was the percent of increase?
Answer:
24%
Step-by-step explanation:
the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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Someone help please?
Answer:
the answer i H.
Step-by-step explanation:
you just multiply the numbers and get -77.625 which simplifies to -77 5/8
What do numbers have a difference of 8
Answer:
20-12=8
here it is the difference is 8.
Solve for x: 2/3 + 1/3x = 2x
(A) x= 1/2
(B) x= 5/2
(C) x= 2
(D) x= 2/5
Answer:
\(\tt (D)\; \tt x=\cfrac{2}{5}\)
Step-by-step explanation:
\(\tt \cfrac{2}{3}+\cfrac{1}{3}x=2x\)
Simplify 1/3x = x/3:-
\(\tt \cfrac{2}{3}+\cfrac{x}{3}=2x\)Join denominators:-
\(\tt \cfrac{2+x}{3}=2x\)Multiply both sides by 3:-
\(\tt 2+x=6x\)Subtract x from both sides :-
\(\tt 2=6x-x\)\(\tt 2=5x\)Divide both sides by 5:-
\(\tt \cfrac{2}{5}=\cfrac{5x}{5}\)\(\tt x=\cfrac{2}{5}\)______________________
Hope this helps!
How does the average change if the minimum number is
removed from the list below? Round your answer to the nearest hundreths.
24 36 10 56 12 6 41 28
A
Increase by 2.95
B
Decrease by 2.95
Increase by 0.75
D Decrease by 0.75
E
Decrease by 3.12
9514 1404 393
Answer:
A Increase by 2.95
Step-by-step explanation:
Suppose the current average is A. Then the sum of the 8 items being averaged is 8A. We observe the minimum of those items is 6, so removing that from the sum gives 8A-6. The new average of the 7 remaining items is ...
A' = (8A -6)/7
The difference between the new average and the old one is ...
A' -A = (8A -6)/7 -A = (A -6)/7
The average of the given items is ...
(24 +36 +10 +56 +12 +6 +41 +28)/8 = 26.625
so the change in the average will be ...
(26.625 -6)/7 ≈ 2.9464 ≈ 2.95 . . . an increase
The removal of the minimum number from the average will increase it by about 2.95.
_____
Additional comment
The average is always greater than the minimum item, so removing the minimum item from the list will always increase the average. The amount of increase depends on the relationship between the average and the minimum, as we calculated above.
Solve: -1/2 x +3 = -x+7
Answer:
thats the answer
Step-by-step explanation:
Complete the paragraph proof.
Given: M is the midpoint of
Prove: ΔPKB is isosceles
Triangle P B K is cut by perpendicular bisector B M. Point M is the midpoint of side P K.
It is given that M is the midpoint of and . Midpoints divide a segment into two congruent segments, so . Since and perpendicular lines intersect at right angles, and are right angles. Right angles are congruent, so . The triangles share , and the reflexive property justifies that . Therefore, by the SAS congruence theorem. Thus, because _____________. Finally, ΔPKB is isosceles because it has two congruent sides.
corresponding parts of congruent triangles are congruent
base angles of isosceles triangles are congruent
of the definition of congruent segments
of the definition of a right triangle
Answer:
corresponding parts of congruent triangles are congruent
Step-by-step explanation:
Edge 2022
The missing statement is corresponding parts of congruent triangles are congruent, the correct option is A.
What is an Isosceles Triangle?An Isosceles triangle is a triangle whose two sides are equal in length, and so two angles are also equal in measure.
The proof for proving ΔPKB is isosceles is as follows
M is the midpoint of and . Midpoints divide a segment into two congruent segments,
Perpendicular lines intersect at right angles, and are right angles.
Right angles are congruent, so . The triangles share , and the reflexive property justifies that .
Therefore, by the SAS congruence theorem
Thus, because CPCTC (corresponding parts of congruent triangles are congruent)
ΔPKB is isosceles because it has two congruent sides.
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Simplify:
(10x + 6y + 5)/2
Answer:
Step-by-step explanation:
we divide every term by 2 and we get:
10x/2 + 6y/2 +5/2= 5x +3y+5/2
How do I graph this?
Answer:
See below
Step-by-step explanation:
An entity has a foreign subsidiary for which the foreign currency is the functional currency. Upon translating the subsidiary's financial statements from the foreign currency into the reporting currency, the entity is trying to determine how to report the translation adjustment. Identify the location in professional standards that indicates how to account for a translation adjustment. Using the table below, enter the exact section and paragraph with helpful information for this scenario. (Correctly formatted FASB ASC paragraphs are 1, 2, or 3 digits followed in some cases by 1 or 2 upper case letters. An example of a correctly formatted FASB ASC response is 205-10-25-2.)
When the foreign currency is the functional currency, FASB ASC 830-30-45-3 offers guidelines on how to report the translation adjustment for a foreign subsidiary. It specifies that the translation adjustment shall be included in cumulative other comprehensive revenue.
As per the question given,
There are multiple sections in the FASB Accounting Standards Codification that address accounting for translation adjustments. One relevant section is ASC 830-30-35-2, which states that the cumulative translation adjustment should be reported in accumulated other comprehensive income (AOCI) as a separate component of equity. The section also provides guidance on how to reclassify amounts from AOCI to net income in the event of a partial or complete disposal of the foreign subsidiary.
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For what values of theta do maximum r-values occur on the graph the polar equation r = 2 cos4 theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole
Answer:r=2 cos^4(theta)
Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.
First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:
r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.
Next, we can take the derivative of r with respect to theta, using the chain rule:
dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).
Setting this equal to zero and factoring out sin(2theta), we get:
sin(2theta)(-1 - 2cos(2theta)) = 0.
This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.
When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.
When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.
These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).
Mina said the height of the parallelogram is 4 cm while
Jazmin said it was 5 cm. Who is correct? Explain your
reasoning.
The height is the distance between the opposite parallel sides of the parallelogram.
Therefore, the height of the parallelogram is 4 cm.
In order to estimate the statistical difference between the average hourly wages of employees of two branches of a department store, two independent random samples were selected and the following statistics were calculated. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 A 95% interval estimate for the difference between the two population means is _____. Group of answer choices
Answer:
0.076 ; 1.924
Step-by-step explanation:
Given that :
_______Downtown Store ___ North Mall Store
n _______25 _______________20
Mean (m) _ $9 _______________$8
Sample sd_ $2 ______________$1
Standard Error (SE) = √[(s1²/n1) + (s2²/n2)]
√((2^2/25) + (1^2/20)) = 0.4582575
df = (25 + 20) - 2= 43
(m2 - m1) ± t(df = 43 , 0.025) * SE
(9 - 8) ± 2.01669 * 0.4583
(1 - 0.9242) ; (1 + 0.9242)
0.076 ; 1.924
Identify the slope and y-intercept of the line below.
Slope=?
y-intercept=?
Answer:
Slope- y=1/4x-6
Y intercept= (0,-6)
Hope this helps!
Use the equation of the line of best fit to predict the value of y when x=15. Round your answer to the nearest whole number
Answer:
What equation?
Step-by-step explanation:
The value best line fit can be obtained by putting x= 15 in the given equation as shown below.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We do not have any equation.
Let us consider the Equation as
3x + 5y= 27
Now, for x= 15 the value for y will be
3(15) + 5y= 27
45 + 5y = 27
5y = 27 - 45
5y = -15
y= -3.6
Similarly, in any put x=15 and find the line of best fit.
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1/4a + 4b
a = -7 b = 0
9514 1404 393
Answer:
-7/4
Step-by-step explanation:
If you want to evaluate the expression for the given values of the variables, put the variable value in its corresponding place in the expression and do the arithmetic.
1/4a +4b
= 1/4(-7) +4(0)
= -7/4 +0 = -7/4