a) For what value(s) of k is the following SoLE inconsistent?
x - 2y + 4z = 3
4x + 5y + kz = 9
y + 3z = 2
Answers
Answer: z = 55.
Step-by-step explanation:
we want to find values of k that make this inconsistent.
x - 2y + 4z = 3
4x + 5y + kz = 9
y + 3z = 2
First, can you can see that k never can make some of the equations linearly dependent because of how constructed is the set. Now, let's see if there are values of k that give problems to our system.
To see it, let's solve the system.
from the third equation we can write y = 2 - 3z, and we can replace it into the first two equations:
x - 2(2 - 3z) + 4z = 3
4x + 5(2 - 3z) + kz = 9
simplify both equations and get
x + 10z = 7
4x + ( k - 15)*z = - 1
from the first equation, we have that:
x = 7 - 10z
we can replace it into the other equation:
4*(7 - 10z) + (k - 15)*z = -1
28 - 40z + (k -15)*z = -1
(k - 55)*z = -29
z = -29/(k - 55)
here you can see that the only value of z that has problems is z = 55, because we never can have a 0 in the denominator.
Related Questions
A red bowl, a green bowl, and a blue bowl are on the kitchen table. Alan places one egg into a randomly selected bowl. Then Bethany places one egg into a randomly selected bowl. X = # of eggs placed into the red bowl. Y = # of empty bowls at the end of the experiment. Draw a table describing the joint probability mass function of X and Y. (Advice: start by drawing a tree diagram.) Please show all steps.
Answers
There is insufficient information so the joint probability mass function of X and Y.
given that
there are three bowls they are a red bowl , a green bowl and a blue bowl are on the kitchen table
alan places one egg into a randomly selected bowl.
X = # of eggs placed into the red bowl
Y = # of empty bowls at the end of the experiment.
the joint probability mass function of X and Y
1. Not sufficient
R=5
let us consider when G = 2 , B = 1 => P(G) = 2/8
when G=1, B=2 => P(G) = 1/8
2. Not Sufficient
P(B) = 1/3 = x/3x
But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..
So we can have different B . Thus we can have different G combinations.
Together - Not Sufficient
P(B) = x/(3x) , R = 5
P(G) = 1- P( not G )
= 1- P(R or B)
But we cannot calculate this with out knowing P(R) and P(B).
we cannot solve this problem because there is no proper information is given.
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A real estate company balances the books for its business on the first day of each month. It hopes to sell houses every other day of the month. The average number of houses, S, the company sells each day, t, is represented by the inverse of the function Inverse of S is equal to the quantity t squared plus 4 times t minus 5 end quantity over the quantity t squared minus 7 times t plus 6 end quantity Which equation represents the average sales each day for the real estate company?
Answers
The inverse function is given as s⁻¹ = [(t + 5) / (t – 6)]. Then the correct option is C.
The complete question is attached below.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
A real estate company balances the books for its business on the first day of each month.
It hopes to sell houses every other day of the month.
The average number of houses, S, the company sells each day, t, is represented by the inverse of the function is given below.
\(\rm s^{-1} = \dfrac{t^2 + 4t - 5}{t^2 - 7t + 6}\)
Then the inverse function can be written as
\(\rm s^{-1} = \dfrac{t^2 +5t - t - 5}{t^2 - 6t - t + 6}\\\\\rm s^{-1} = \dfrac{(t + 5)(t - 1)}{(t - 6)(t - 1)}\\\\\rm s^{-1} = \dfrac{(t + 5)}{(t - 6)}\)
Then the correct option is C.
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Geometry question. Please help fast.
Answers
The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.
We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.
So, both the 1st and 4th points translate and reflect down the triangle A'B'C' which will be mapped according to the triangle ABC.
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Can you help me please asap
Answers
The general solution to the given differential equation is:
y = (x/12) - (1/288)
How to solve the Differential Equation?
We want to solve the differential equation given as: y' - 24xy = -2x
The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).
Multiplying the entire equation by the integrating factor, we get:
e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)
The left side of the equation is the derivative of (e^(-24x)y) with respect to x:
(d/dx)(e^(-24x)y) = -2xe^(-24x)
Integrating both sides with respect to x, we have:
e^(-24x)y = ∫(-2xe^(-24x))dx
Integrating the right side, we get:
e^(-24x)y = -∫(2xe^(-24x))dx
To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):
u = -2x (differential of u = -2dx)
dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)
Using the integration by parts formula:
∫uv dx = uv - ∫v du
We can compute the integral as follows:
-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]
= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]
= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]
= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]
= -[x/12e^(-24x) - 1/(288e^(-24x))]
= -[x/12 - 1/288]e^(-24x)
Substituting this back into the previous equation, we have:
e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]
Simplifying further:
e^(-24x)y = (x/12 - 1/288)e^(-24x)
Canceling out e^(-24x) on both sides:
y = x/12 - 1/288
Therefore, the general solution to the given differential equation is:
y = x/12 - 1/288
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3. The marginal cost of producing a certain product is GHe 12 per unit, while the cost to produce
100units is GH¢1,500.
a) Find the cost function, C(x), given that it is linear.
b) Find the average cost per item to produce 50 units and 300 units.
Answers
Answer:
a) GH¢15x
b) GH¢15
Step-by-step explanation:
a) To find the cost function, C(x), given that it is linear, we need to find the slope and y-intercept of the line that represents the cost to produce x units of the product. We can use the point-slope form of a line to find the cost function: C(x) = mx + b, where m is the slope and b is the y-intercept.
We have two points: (100, GH¢1,500) and (0, GH¢0), which represents the cost to produce 100 units and 0 units, respectively. The slope can be found by dividing the change in y by the change in x:
m = (GH¢1,500 - GH¢0) / (100 - 0) = GH¢15
The y-intercept can be found by plugging in one of the points and solving for b:
GH¢1,500 = (GH¢15)(100) + b
GH¢1,500 = GH¢1,500 + b
b = GH¢0
So the cost function is C(x) = GH¢15x + GH¢0.
b) To find the average cost per item to produce 50 units and 300 units, we need to divide the total cost by the number of units produced.
For 50 units:
C(50) = GH¢15 * 50 + GH¢0 = GH¢750
Average cost = C(50) / 50 = GH¢15
For 300 units:
C(300) = GH¢15 * 300 + GH¢0 = GH¢4,500
Average cost = C(300) / 300 = GH¢15
Use the figure to calculate the volume of a section of round sheet metal pipe. The volume of the section shown = ________ cu in
Answers
Answer: 653.12 cu in
Step-by-step explanation: had it on a test
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.
(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.
(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.
(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
The triangle similarity criteria are:
AA (Angle-Angle)SSS (Side-Side-Side)SAS (Side-Angle-Side)(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.
12/8 = 9/6
1.5 = 1.5
(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.
(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.
14/10 = 21/15
1.4 =
(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.
SMK = 90⁰, 60⁰, 30⁰
QTR = 90⁰, 30⁰, 60⁰
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50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Answers
#1
Clockwise 90° rotation rule (x,y)—»(y,-x)
X'=(4,-2)Y'=(-3,-5)Z'=(1,7)#2
Dilation of scale factor 2
X''=(4×2,-2×2)=(8,-4)Y''=2(-3,-5)=(-6,-10)Z''=2(1,7)=(2,14)#3
reflection across x axis rule (x,y)—»(x,-y)
X'''=(8,4)Y'''=(-6,10)Z"'=(2,-14)#4
Rule for given translation (x-5,y+2)
X""=(8-5,4+2)=(3,6)Y""=(-6-5,10+2)=(-11,12)Z""=(2-5,-14+2)=(-3,-12)Answer:
Given points:
X = (2, 4)Y = (5, -3)Z = (-7, 1)Part (a)
Rotate 90° clockwise (about the origin): (x, y) → (y, -x)
X' = (4, -2)Y' = (-3, -5)Z' = (1, 7)Part (b)
Dilation by a scale factor → multiply the points by the scale factor
scale factor = 2
X'' = (8, -4)Y'' = (-6, -10)Z'' = (2, 14)Part (c)
Reflect across the x-axis: (x, y) → (x, -y)
X''' = (8, 4)Y''' = (-6, 10)Z''' = (2, -14)Part (d)
Translate 2 up and 5 to the left: (x, y) → (x - 5, y + 2)
X'''' = (3, 6)Y'''' = (-11, 12)Z'''' = (-3, -12)A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Answers
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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What is the domain and range to this problem?
Answers
Answer:
Domain is -5,4 Range is -4, 5
Step-by-step explanation:
Domain is the two ends of the arrows on x
Range is Y
A scatterplot contains data showing the relationship between number of football games played and total number of rushing yards. Which graph displays the line of best fit for the data?
Answers
To identify the appropriate graph displaying the line of best fit, one would need to examine the slope, position, and dispersion of the data points in relation to the line.
To determine which graph displays the line of best fit for the relationship between the number of football games played and the total number of rushing yards, we would need to analyze the given graphs and identify the one that best represents the trend in the data.
The line of best fit is a straight line that represents the average trend of the data points in a scatterplot. It is calculated using regression analysis to find the line that minimizes the overall distance between the line and the data points.
Without the specific graphs to examine, it is not possible to identify the exact graph that displays the line of best fit. However, in a scatterplot of the number of football games played versus the total number of rushing yards, the line of best fit would be a straight line that best represents the general trend or relationship between the two variables.
The line of best fit may have a positive slope if there is a positive correlation between the number of games played and rushing yards, indicating that more games played result in higher rushing yards. Conversely, it may have a negative slope if there is a negative correlation, suggesting that more games played lead to lower rushing yards.
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How many yards are in 108 inches?
Answers
Answer:
3 yards
Step-by-step explanation:
Divide inches by 36
\(108/36\\=3yards\)
Answer:
\(3 \: \: yards\)
Step-by-step explanation:
\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)
So,
\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)
hope this helps
brainliest appreciated
good luck! have a nice day!
derivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answers
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answers
The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;
Part A; Base length of the new deck = 7.2 feet
Height of the new deck = 2.8 feet
Part B; The area of the original deck is 63 square feet
The area of the new deck is 10.08 square feet
Part C; The ratio of the areas is the square of the scale factor
What is a scale factor?A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.
The base length of the triangular deck = 18 feet
The height of the triangular deck = 7 feet
The scale factor for the scaled version Sam intends to build = 2 : 5
Part A; The dimensions of the new deck are;
Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet
The height of the new deck = (2/5) × 7 = 2.8 feet
Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet
Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet
Part C; The ratio of the areas is; 10.08/63
Ratio of the area = 10.08/63 = 4/25 = 4 : 25
The scale factor is; 2 : 5
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There are 8 tables, each with 7 candles on them. How many candles are there in total?
Answers
Answer:
56
Step-by-step explanation:
You just have to multiply 8 and 7 to get how many are on all of the tables.
Write answer in simplest form .
Answers
Answer:
i think its 2 2/9
Step-by-step explanation:
Pre - Calculus evaluate exponential derivative at a point !
Answers
Answer:
\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)
Step-by-step explanation:
Use Quotient Rule to find f'(x)
\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)
Find f'(1) using f'(x)
\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)
Answer:
\(f'(1)=-\dfrac{9}{e^{3}}\)
Step-by-step explanation:
Given rational function:
\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)
To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)
\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)
\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)
Therefore:
\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)
\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)
\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)
To find f'(1), substitute x = 1 into f'(x):
\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)
\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)
\(f'(1)=-\dfrac{9}{e^{3}}\)
At a grocery store, almonds are on sale for $3.78 per pound. What is the price of 4.5 pounds? Please show explanation
Answers
$17.01
Step-by-step explanation:
To find the the price, you must find price per pound x how many pounds you will be priced for
price per pound x how many pounds you will be priced for
This is represented by 3.78 x 4.5
3.78 x 4.5 = 17.01
$17.01 is the cost of 4.5 pounds of almonds
Answer:
17.01 pounds
Step-by-step explanation:
3.78 x 4.5 = 17.01
Hope this helps!
5a+4b=65 elimination substitute and check
Answers
Answer:
a=13 - 4b/5
b=65/4-5a/4
Step-by-step explanation:
Can someone help me, please???
Answers
Answer:
12
Step-by-step explanation:
4 times 3 = 12
e want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately 29.6 . We would like to be 99.5% confident that the estimate is within 1 of the true population mean. How large of a sample size is required?
Answers
We need a sample size of at least 879 to be 99.5% confident that our estimate of the population mean will be within 1 of the true population mean.
To determine the required sample size, we use mathematical formula:
\(n = (z * σ / E) ^ 2\)
Where:
n: sample size
z: z-score corresponding to desired level of confidence (99.5%)
σ: population standard deviation
E: margin of error (1 in this case)
Substitute given values into formula:
\(n = (2.807 * 29.6 / 1) ^ 2\\n = 878.3\)
Hence, in order to be 99.5% confident that our estimate of the population mean would be within 1 of the actual population mean, we need a sample size of at least 879.
It's vital to remember that the estimate will be more accurate the larger the sample size. Larger sample numbers might, however, also be more costly and time-consuming to gather. Hence, while choosing the sample size, researchers must carefully weigh the trade-offs between the required level of confidence, the margin of error, and the resources at their disposal.
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information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of fDegree 3; zeros: 5,-4i
Answers
The remaining zeros of Degree of f will be = -5 and 4i
According to the given question,
We can see that the given degree is = 3
∴ This means that there are 3 roots ( zeros )
We can conclude from the above statement that,
The number of roots = The degree that is given in the question.
For example, if the question gives the degree = x
Then the roots will also be = x
This question follows the complex conjugate root theorem,
This theorem states that the if there are complex roots with real coefficients then the root of its polynomial, will also be its complex conjugate.
The resultant conjugate of,
⇒ 5 = -5
⇒ -4i = +4i
Therefore, the remaining zeros of Degree of f will be = -5 and 4i
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The slope of the line parallel to the given line is
A point on the line parallel to the given line, passing through (4,2) is
The slope of the line perpendicular to the given line is
A point on the line perpendicular to the given line, passing through (-4, 2), is
Answers
Answer: 1/2
0,4
-2
-2,-2
Step-by-step explanation: took the lesson
Primitive function for:
1. f(x)=4e2x+e−x, sådan att F(0)=2
Answers
The primitive function for \(f(x) = 4e^{2x} + e^{-x}\) is given by it's indefinite integral.
To calculate it, recall:
\(\frac{d}{dx}e^{ax}=ae^{ax}\)
\(\int c f(x)dx = c\int f(x)dx\)
Let's begin
\(\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\\)
\(F(x) = 2e^{2x}-e^{-x} +c\)
To find the costant, we just need to use the fact that \(F(0)=2\)
\(F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3\)
Therefore,
\(\boxed{F(x) = 2e^{2x} - e^{-x} -3 }\)
What is the total weight of the bags that weighed /8 pound each?
Answers
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
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Which of the following is equivalent to the expression below? log 2-log 14
Answers
Do i have to write something for E or do I leave it blank
Answers
Answer:
blank
Step-by-step explanation:
Answer:
Blank
Step-by-step explanation:
What is the expression for the calculation double 2 and then add 5? Then use x as the variable
Answers
Answer:
2x+5
Step-by-step explanation:
Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ? Select all correct expressions. −4x+5+3x 5−x 4x−5−3x x−5
Answers
Answer:
its x-5 and 4x-5-3x
Step-by-step explanation:
I took the test
Kimberly wrote a proof. What was her error?
will mark brainiliest.
Answers
The error is:
∠M and ∠N are supplementary.
m∠M + m∠N = 180
∠N and ∠0 are supplementary.
m∠N + m∠0 = 180
We have,
In a parallelogram, consecutive angles are supplementary.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
Since opposite sides are parallel, opposite angles in a parallelogram are congruent (equal in measure).
Consecutive angles are the pair of angles that share a side in the parallelogram.
The sum of the measures of these consecutive angles is always 180 degrees, making them supplementary.
Thus,
The error is:
∠M and ∠N are supplementary.
m∠M + m∠N = 180
∠N and ∠0 are supplementary.
m∠N + m∠0 = 180
Learn more about parallelograms here:
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