What additional information is needed to show that △ABC ≅ △DEF by ASA?There are two right angle triangles, triangle ABC and Triangle EDF. Angle BAC is congruent to angle EDF, angle ABC is congruent to angle DEF.
Answers
For the triangle congruence postulate ASA to apply between two triangles.
The corresponding angles should be congruent and the side between them should be congruent too:
If the corresponding angles for each triangle are equal:
∠A=∠D
∠B=∠E
The side that links both angles in each triangle should be equal to:
Angles ∠A and ∠B share the leg AB
Angles ∠D and ∠E share the leg DE
For the postulate Angle-Side-Angle it must apply that these sides are equal: AB=DE
The correct option is A.
Related Questions
Some researchers want to compare meditation and exercise to see which is more effective for reducing
stress. They randomly selected 100 people who suffer from high stress to participate in the study. The
subjects will either be given a 10-week course in a meditation program or they will participate in a 10-
week exercise program. The researchers must decide how to assign the subjects to these programs.
One option would be random assignment of the subjects into the programs. Another option is to allow
each subject to choose a program.
Which of the following is the main advantage of randomly assigning subjects to one of the two
programs rather than allowing them to choose?
Answers
Answer:
This is not math...
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
Answers
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
Answers
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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Which algebraic expression is equivalent to the expression below?
(13x - 7) + (12 - 3x)
A.
10x + 5
B.
25x - 10
C.
16x + 19
D.
10x + 19
Answers
Answer:
10x + 5
A is the correct answer
Step-by-step explanation:
the standard iq test is designed so that the mean is and the standard deviation is for the population of all adults. we wish to find the sample size necessary to estimate the mean iq score of statistics students. suppose we want to be % confident that our sample mean is within iq points of the true mean. the mean for this population is clearly greater than . the standard deviation for this population is probably less than because it is a group with less variation than a group randomly selected from the general population; therefore, if we use we are being conservative by using a value that will make the sample size at least as large as necessary. assume then that and determine the required sample size.
Answers
If we assume that σ = 15 then the required sample size is 216 .
In the question ,
it is given that ,
the standard deviation is (σ) = 15
we want to be 95% confident . So , α \(=\) 1 - 0.95 = 0.05
So , \(Z_{\frac{\alpha }{2} }\) is = \(Z_{\frac{0.05 }{2} }\) = Z₀.₀₂₅
from z table ,
Z₀.₀₂₅ = 1.96 .
e is given to be = 2 IQ points
the sample size (n) is calculated using the formula .
n = (σ × \(Z_{\frac{\alpha }{2} }\)/e)²
Substituting the values ,
we get ,
n = (15 * 1.96/2)²
n = (29.4/2)²
n = (14.7)²
n = 216.09
n ≈ 216
Therefore , the sample size necessary to estimate the mean IQ score of statistics students is 216 .
The given question is incomplete , the complete question is
The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that σ = 15 and determine the required sample size .
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PLEASE HELP NOWWW!!!!!! A country consists of two islands. The population of birds on one island is 1.105 million, and the population of birds on the other island is 2.21 million. Which expression finds the population of birds for this country?
1. 1.105 million + 2.021 million
2. 1.15 million + 2.21 million
3. 1.105 million + 2.201 million
4. 1.105 million + 2.210 million
Answers
the answer is 1.. I know this because im in seventh grade
Answer:
It's D
Step-by-step explanation:
I did the same thing.
sorry if this doesn't help!! I tried..
Classify is the function as increasing decreasing or constant l
f(x) = 5x
Anyone know the answer .?
Answers
Answer:
Increasing
Step-by-step explanation:
Remember that f(x) is the same as y in slope intercept form y = mx + b.
We don’t have a number for “b” which means the line goes across the origin.
Since 5 replaces m, that is the slope and since it’s positive, it is increasing.
Best of Luck!
7. Write a general formula to describe the variation: x varies directly with the cube of y; x = 8 when y = -8.
Answers
Answer: it should be this M=kb^3/B^2
Step-by-step explanation:
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answers
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
What are the slope and y-intercept of the line?
Answers
Answer:
i justr f arted really loud LOL
Step-by-step explanation:
Answer:
the choice below, with slope= app. 1.33!
Step-by-step explanation:
What is m(m)−5m−14=0?
Answers
Answer:
M= -7/2
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that do not contain the variable. Hope this helps.
Answer:
m=-2, m=7
Step-by-step explanation:
m^2-5m-14= 0
m^2-7m+2m- 14=0
m(m-7)+2(m-7)=0
(m+2)(m-7)=0
m= -2 or m= 7
River c is 500 miles longer than River D. If the sum of their lengths is 5,520 what is the length of each River. (C and d)
Answers
c = d + 500
And the sum of their lengths is 5,520:
c + d = 5,520
We can substitute the first equation into the second equation:
c + d = c + d + 500
So:
500 = 5,520 - c - d
Rearranging, we can find the value of d:
d = 5,520 - c - 500
d = 5,020 - c
We can now use either equation to find the value of c:
c = 5,520 - d
c = 5,520 - (5,020 - c)
Solving for c, we get:
c = 2,500
And using either equation, we can find the value of d:
d = 5,520 - c = 5,520 - 2,500 = 3,020
So River C is 2,500 miles long, and River D is 3,020 miles long.
Please answer need to turn it in please help me answer
Answers
Answer: Sir in what way would you like me to explain this
Step-by-step explanation:
Sarah is monitoring the temperature at the weather station. At noon, the temperature reads 6 degrees Fahrenheit. Her final reading of the day reads -16 degrees Fahrenheit. How much did the temperature drop
Answers
Answer:
the temperature dropped by 10° F
hope this helps you
❤❤❤❤❤❤❤
itz indian heartAnswer:
dropped by -10 degrees
Step-by-step explanation:
solve pls brainliest
Answers
|5-9|=4
I’m pretty sure this is correct I’ve checked like three times
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?
O 3(x+4)
O 2(X+6) + X
O 4(x-3) - x
O 3(x+1)+9x
Answers
Answer:its c i think
Step-by-step explanation:
Answer:
C. 4(x – 3) – x
Step-by-step explanation:
edge
What is an equation of the line that passes through the points (-6, 3)(−6,3)
Answers
Answer:
y = 3
Step-by-step explanation:
are you sure you typed this question in right?
A man earned wages of $36,300, received $2200 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. He was entitled to a personal exemption of $4050 and a standard deduction of S6300. The interest on his home mortgage was $7800, he contributed $2900 to charity, and he paid $1750 in
state taxes. Find his gross income, adjusted gross income, and taxable income Base the taxable income on the greater of a standard deduction or an itemized
deduction
Answers
Answer:
Gross income = $38500
Adjusted gross income = $35800
Taxable income = $13000
Step-by-step explanation:
1. Gross income = wages + interest received
Gross income = $36,300 + $2200
Gross income = $38500
2. Adjusted gross income = Gross income - adjustments
Adjusted gross income = $38500 - $2700
Adjusted gross income = $35800
3. Taxable income = adjusted income - (exemption + deductions)
Taxable income = $35800 - ($4050 + $6300 + $7800 + $2900 + $1750)
Taxable income = $35800 - $22800
Taxable income = $13000
If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5
Find the
number.
Answers
Answer:
Let the number be x:
then
\((5+x)/(7+x)=3/5\\5(5+x)=3(7+x)\\25+5x=21+3x\\5x-3x=21-25\\2x=-4\\x=-2\)
How would I solve this?
(Sidney deposited $60,000 in a savings account with simple interest. Two years later, she had earned $1,200 in interest. What was the interest rate?)
Answers
The interest rate that was calculated using the data that we have here is 1 %
How to solve for the interest rateThe formula for simple interest is:
I = Prt
Where:
I = interest earned
P = principal (initial amount deposited)
r = interest rate (expressed as a decimal)
t = time (in years)
Given that Sidney deposited $60,000 in a savings account and earned $1,200 in interest after 2 years, we can plug these values into the formula:
1200 = 60000 * r * 2 years
1200 = 120000 r
divide through by 120000
1200 / 120000 = r
r = 0.01
= 1 %
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HELP PLEASE
here’s the question
Answers
Answer:
1.9 hours
Step-by-step explanation:
7.6 divided by 4
Answer:
1 hour and 54 minutes or 1.9 hours
Step-by-step explanation:
Part A: Given the function g(x) = |× + 31, describe the graph of the function, including the vertex, domain, and range. (5 points) Part B: If the parent function f(x) - |×] is transformed to h(x) = |× - 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answers
A. The graph of the absolute value function is V-shaped, with the features given as follows:
Vertex: (-3,0).Domain: All real values.Range: [0, ∞).B. The transformation is that the function was shifted right two units, hence the features are given as follows:
Vertex: (2,0).Domain: All real values.Range: [0, ∞).What is the absolute value function?The absolute value function, with vertex (h,k), is defined as follows:
y = |x - h| + k.
The features of the function are given as follows:
Vertex: (h,k).Domain: All real values.Range: [k, ∞).For the first item, the function is |x + 3|, hence we just have to identify the features.
For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.
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Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
Answers
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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adam is building a deck around his pool his pool is 3cm by 6cm what is the total area of the deck around the pool
A108
b18
c126
d90
Answers
Answer:
b. 18 because you do is 6x3=18
need the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answers
Answer: the one on the right on the top
Step-by-step explanation:
as x increases by 1, y decreases by 2. this makes a linear function
Answer: the answer is the first option
Step-by-step explanation:
Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown. 6p + 3n = 18 and 2n = p 6(2n) + 3n = 18 12n + 3n = 18 15n = 18; n = $1.20 Onions cost $1.20 per pound. Analyze the daughter’s solution. Which statements are true? Check all that apply.
A.The equation 2n = p should be 2p = n. B.The equation 6p + 3n = 18 should be 6n + 3p = 18. C.The actual cost of the onions is $3.00 per pound. D.Potatoes cost $0.60 per pound. E.Potatoes cost $1.50 per pound. F.Potatoes cost $2.40 per pound.
Answers
Answer:
Step-by-step explanation:
1,3,5
How do you find total pension expense?
Answers
Answer:
Total periodic pension costs (TPPC) is equal to the contributions plus change in the pension liability during the year. Each period, the periodic pension cost is recognized in profit or loss (P&L) and/or in other comprehensive income (OCI).
PLS HELP FOR REAL!!! WHAT IS THE ANSWER FOR THE 2nd ONE!! I NEED AN EXPLANATION AND ANSWER FOR IT! HUGE POINTS IF ANSWER!
Answers
Answer:
76ft^3
Step-by-step explanation:
Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.