Answer:
B. Vanessa only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation:
The diagram does support the claim that \overline{KL}\cong\overline{MN}
KL
≅
MN
start overline, K, L, end overline, \cong, start overline, M, N, end overline because they both have two tick marks.
Step 1 is correct.
Step 2
The diagram does support the claim that \overline{LM}\cong\overline{NK}
LM
≅
NK
start overline, L, M, end overline, \cong, start overline, N, K, end overline because they both have a single tick mark.
Step 2 is correct.
Step 3
In this step, Vanessa claims that \triangle KLM\cong \triangle MNK△KLM≅△MNKtriangle, K, L, M, \cong, triangle, M, N, K using the side-side-side criterion. But Vanessa only established two pairs of congruent corresponding sides. To use this criterion, we must establish three pairs of congruent sides.
Vanessa would be able to use this criterion if she first established that \overline{MK}\cong\overline{KM}
MK
≅
KM
start overline, M, K, end overline, \cong, start overline, K, M, end overline (this can be done with the reason that line segments are congruent to themselves).
The first error Vanessa made in her proof was option B.
Vanessa only established two pairs of congruent corresponding sides
What is congruency?polygons are congruent if they may be identical in size and shape - that is, if their corresponding angles and sides are the same.
Congruent shapes are shapes that can be exactly equal. The corresponding facets are identical and the corresponding angles are equal.
⇒KL≅ MN 9K, L, end overline)
⇒LM≅ NK
⇒MNK△KLM≅△MNK (triangle, K, L, M)
Vanessa would be able to use this criterion if she first established that
⇒MK≅ KM
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A box contains 4 red marbles, 9 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answer:
8/21
Step-by-step explanation:
Add the number of marbles : 4+9+8= 21
Then how many are blue: 8
Answer 8/21. Can't be simplified
0.38
An investment of $500 increases at a rate of 12.5% per year. What is the value of the investment after 30 years? Round to the nearest dollar.
Answer:
Here's the equation:
0.125(500) + 500
But because it is 30 years:
30(0.125(500)) + 500
3.75(500) + 500
We can make it simpler:
4.75(500)
2375
You will have $2375
Step-by-step explanation:
The bases of a trapezoid are 8 yards and 16 feet. The height of the trapezoid is 12 feet. What is area of the trapezoid in square feet?
Answer:
240 sq ft
Step-by-step explanation:
First turn the 8 yards to feet my multiplying by 3. You get 24.
Then
Add the bases together to get 40 Divide them by the number of bases (2) to get 20
Multiply the 20 by the height, (12) to get 240
240 sq feet
Mark me as brainliest if this helps!
Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.
Answer:
The answer is "Option b".
Step-by-step explanation:
Calculating the common Box-Cox Transformation:
[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]
[tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]
[tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]
Which expression is equivalent to (73)-2
1/7.7.7.7.7.7
7
1/7
-1/7.7.7.7.7.7
Answer:
73*-2 =-146 you have to multiply the 73 to the -2
Step-by-step explanation:
Help meeee.. I’ll mark you brainlist and Uc you scam then i report lol but helpppp me
Answer:
70 units²
Step-by-step explanation:
Area of the figure = area of rectangle + area of triangle
= L*W + ½*bh
L = 10
W = 5
b = 5
h = 18 - 10 = 8
Substitute:
Area of the figure = 10*5 + ½*5*8
= 50 + 20
= 70 units²
What is the median of this data set 2 2 5 6 6 8 9 11?
A) 6
B)5
C)7
D) 8
Answer:
6 is your answer since its in the middle.
Step-by-step explanation:
h (5x)=2x^2 - 5
find h(5x)
Answer:
5x
=5*x
=x+x+x+x+x
=5x
Step-by-step explanation:
=5*x
=x+x+x+x+x
=5x
Maitland multiplies 0.05 x 0.8 on a calculator. The calculator shows a product of 0.04. Maitland says the calculator must be broken because multiplying tenths by hundredths give a product in the thousandths.
Is the calculator broken?
Answer:
no, the calculator is not broken
Step-by-step explanation:
its not broken i got the same answer your welcome
3(4x + 10) = 12x + 20
How many solutions does this equation have ?
Solve: 9x^2-49=0
A. -9/49, 9/49
B. -49/9, 49/9
C. -3/7, 3/7
D. -7/3, 7/3
Answer:
D. -7/3, 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
9x² - 49 = 0
Step 2: Solve for x
[Addition Property of Equality] Isolate x term: 9x² = 49[Division Property of Equality] Isolate x term: x² = 49/9[Equality Property] Isolate x: x = ±7/3please help me.. i would really appreciate it, thank you!
You randomly select ONE card from a 52-card deck. Find the probability of selecting a card greater than 2 and less than 7, or a diamond.
There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance
A cookie recipe that calls for 2 2/3 cups of sugar will make 32 cookies however you only have 1 2/3 cup of sugar and you have to adjust your recipe what fraction of the recipe
Explanation is in the file
tinyurl.com/wpazsebu
Which of the following uses scientific notation
incorrectly?
(View picture)
i need help with this problem
9514 1404 393
Answer:
(a) 4 in²
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height of the prism.
We can find the area of the base by solving for B.
B = V/h
B = (12 in³)/(3 in)
B = 4 in² . . . . . . . . . . matches the first choice
hihhhhi someone help please ..
Answer:
1. 2³
2.2⁵= 2×2×2×2×2= 32
2⁶= 2×2×2×2×2×2= 64
Step-by-step explanation:
hope it helps
Answer:
1. [tex]2^{3}[/tex]
2. It represents [tex]2*2*2*2*2[/tex] and [tex]2*2*2*2*2*2[/tex]
Step-by-step explanation:
1. it would have to be an exponent so 2*2*2 is 8 and 2^3 is also 8
2. it is an exponent so it would basically be multiplying the number times the number/amount of exponents so 2^5= 32 and 2^6=64
hope this helped :)
There are 37 students on a bus the bus stops 5 times. 7 students get off at each stop how many students are left on the bus
Stable cost reporting in a manufacturing setting is typically a sign that operations are running smoothly. The accounting department at Rockwell Collins, an avionics manufacturer, analyzes the variance of the weekly costs reported by two of its production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use α = 0.10 (to 2 decimals).
Answer:
Following are the responces to the given question:
Step-by-step explanation:
For this issue the statistical programme performance is:
Two overview hypothesis test sample variance:
[tex]\to \sigma_1^2[/tex] =Population variance 1
[tex]\to \sigma_2^2[/tex] = Population variance 2
[tex]\to \frac{\sigma_1^2}{\sigma_2^2}=[/tex] Two variance ratios
[tex]\to H_0: \frac{\sigma_1^2}{\sigma_1^2}=1\\\\\to H_A: \frac{\sigma_1^2}{\sigma_1^2}\neq 1[/tex]
Following are the result of the Hypothesis test: [tex]Ratio \ \ \ \ \ \ \ \ \ \ Num.DF \ \ \ \ \ \ \ \ \ \ Den.DF \ \ \ \ \ \ \ \ \ Sample\ \ Ratio\ \ \ \ \ \ F-Stat \ \ \ \ \ \ \ P-value\\\\[/tex]
[tex]\frac{\sigma_1^2}{\sigma_1^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.3478261 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.3478261 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.1091[/tex]
Test statistic [tex]= 2.3478 \approx 2.35[/tex]
P-value > 0.10
The null hypothesis should not be rejected.
Find the solution set.
The solution set for 512 - 125 = 0 is
Answer:
(-5,5)
Step-by-step explanation:
5v² - 125 = 0
5v² = 125
v² = 125 ÷ 5
v² = 25
v = √25
v = ±5
v = (-5,5)
A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?
Answer:
4 adaults
Step-by-step explanation:
4x+2-x=17
Solve the equation for x
Explain how
Answer:
5
Step-by-step explanation:
4x-x=17-2
3x=15I:3
x=5
i think thats right
13x = 17 divided by 13
Answer:
x=17/13
Step-by-step explanation:
pretty sure you just shift x alone by itself
Answer: [tex]17/13=1.30769231[/tex]
Step-by-step explanation:
Maria bought a bag of mixed fruit that is 40% oranges, 33% green apples, and 27% red apples, If she
randomly selects 5 pieces of fruit from the
bag, how many would you expect to be oranges?
A 1
B 2
C 3
D 4
Answer:
b
Step-by-step explanation:
Choose the equation for the line in slope-intercept form.
An element with mass 510 grams decays by 26.3% per minute. How much of the element is remaining after 7 minutes, ?
Answer: The element is remaining after 7 minutes = 60.23 grams
Step-by-step explanation:
The equation for mass decay :
[tex]A=A_0(1-r)^t[/tex], where [tex]A_0[/tex] = initial mass, A = mass after t minutes.
Given: [tex]A_0=510\ grams[/tex]
r = 26.3% = 0.263
t = 7 minutes
[tex]A=510(1-0.263)^7\\\\=510(0.737)^7\\\\=510(0.118106123435)\approx60.23\ grams[/tex]
Hence, the element is remaining after 7 minutes = 60.23 grams
Answer:
Its the sames steps as the other answer but round the decimal instead of 60.23 do 60.2 because the ,23 is rounded to the nearest 10th i think thats how i got it right
Step-by-step explanation:
Find the slope of the line (-2,3) (2,-3)
4x + 3 − 23x
This expression has 3 terms.
true or false
Answer:
True
Terms are separated by the signs
In a few sentences, describe what this weather map tells you about the weather.
a weather map of Florida with an L in northern Florida and an H in southern Florida
The weather map of Florida with an L in northern Florida and an H in southern Florida indicates that there is a low-pressure system in the north and a high-pressure system in the south.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
In a few sentences, describe what this weather map tells you about the weather.
The map is given in the attached image.
The weather map of Florida with an L in northern Florida and an H in southern Florida indicates that there is a low-pressure system in the north and a high-pressure system in the south.
This pattern could result in potentially cooler temperatures, increased chances of precipitation, and cloudy skies in the north, while the south may experience warmer temperatures, clear skies, and drier weather conditions.
Therefore, the required meaning of L and H is given above.
To learn more about the expression;
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x² + 3x -4 = 0
Factor the quadratic equation
Answer:
(x-1)(x+4)
Step-by-step explanation:
[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]