Answers
Answer:
AX=XF
4y+3=2y+7
4y-2y=7-3
2y=4
y=2
then,
AX=4y+3
=4×2+3
=8+3
=11
The value of length AX of parallelogram is 11.
What is parallelogram?A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposite sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
∵ ACFG is a parallelogram, therefore length of diagonal will be equal
∴AX = XF
4y+3 = 2y+7
4y-2y = 7-3
2y = 4
y = 2
Therefore, length of AX is :
AX = 4y+3
= 4×2+3
= 11
option (c) is correct answer
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Related Questions
What is this awnser
Evaluate the expression 52 × (7.2 + 16) − 8
Answers
Answer: 1198.4
Step-by-step explanation:
52 x (7.2 + 16) - 8
7.2 + 16 = 23.2
52 x 23.2 = 1206.4
1206.4 - 8 = 1198.4
PLEASE HELP AND SHOW WORK
write an equation in slope intercept form that passes through the points (-4,6) and (-5,-2)
Answers
The required equation in slope intercept form is given by y = 8x + 36.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
Here,
Points are (-4,6) and (-5,-2)
The slope of the line is given as,
M = (y₂ - y₁) / (x₂ - x₁)
m = -2 - 6 / -5 + 4
m = -8/-1
m = 8
Now,
The Equaiton of the line is given as,
y - y₁ = m (x - x₁)
y - 6 = 8 (x + 4)
y = 8x + 32 + 6
y = 8x + 36
Thus, the required equation in slope intercept form is given by y = 8x + 36.
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What two perfect squares does 11 sit in
between
Answers
Answer:
9 and 16 hope this helps.
Step-by-step explanation:
h(x) = ln x+1) x - 1 f(x)=√x² - 1 sec-¹ X
Answers
The solution of H(x) = ln(x+1)/x - 1 and f(x) = √x² - 1 sec-¹ x is x = 1. The direct solution is found by first finding the intersection of the two functions. This can be done by setting the two functions equal to each other and solving for x.
The resulting equation is:
```
ln(x+1)/x - 1 = √x² - 1 sec-¹ x
```
This equation can be solved using the Lambert W function. The Lambert W function is a special function that solves equations of the form:
```
z = e^w
```
In this case, z = ln(x+1)/x - 1 and w = √x² - 1 sec-¹ x. The Lambert W function has two branches, W_0 and W_1. The W_0 branch is the principal branch and it is the branch that is used in this case. The solution for x is then given by:
```
x = -W_0(ln(x+1)/x - 1)
```
The Lambert W function is not an elementary function, so it cannot be solved exactly. However, it can be approximated using numerical methods. The approximation that is used in this case is:
```
x = 1 + 1/(1 + ln(x+1))
```
This approximation is accurate to within 10^-12 for all values of x. The resulting solution is x = 1.
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HELPPP ME PLEASEEE!!!!
Answers
Manu was standing on a 245m high tower with a stop watch. He dropped a stonefrom the tower and noted that time taken by the stone to reach ground is 6seconds.Please give me the answer with steps!!!
Answers
The time taken for the stone to reach the ground is 7 s
Data obtained from the question Height (h) = 245 mAcceleration due to gravity (g) = 10 m/s²Time (t) =? How to determine the timeThe time taken for the stone to reach the ground can be obtained as follow:
h = ½gt²
245 = ½ × 10 × t²
245 = 5 × t²
Divide both side by 5
t² = 245 / 5
t² = 49
Take the square root of both side
t = √49
t = 7 s
Thus, it will take the stone 7 s to reach the ground.
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if you borrow $700 for 5 years at an annual interest rate of 7%, how much will you pay altogether?
Answers
Answer:
707 dollars
Step-by-step explanation:
Explanation: $700 x 0.07 = 49 which is for one year multiple this by 5 which gives you $245.00 then add the $700 loan you borrow which give us $945.00 as our total
state if polygons are similar
Answers
Answer:
not similar
Step-by-step explanation:
hope it help
!!!!WORTH 50 POINTS!!!! ANSWER SOON!
Match the following vocabulary with the definitions.
1. IRA
2. 403(b)
3. 401(k)
4. 529 plan
5. retirement account
1. A plan for setting aside money to be spent after retirement
2. A saving plan for education designed to help set aside funds to pay for future college costs
3. A retirement plan available to employees of nonprofit organizations
4. A retirement plan that some corporations offer their employees
5. A retirement account that lets you save and invest money tax free until you withdraw it when you retire
Answers
2. 403(b) matches with definition 5
3. 401(k) matches with definition 3
4.529 plan matches with definition 2
5.retirement acc matches with def 1
i think these should be right!!
Expand.
Your answer should be a polynomial in standard form.
(-8a^2 – 1) (3a^2– 5) =
Answers
Answer:
The answer is =-24a^4+37a^2+5
Answer: Rewrite using the commutative property of multiplication.
−8⋅3(a2a2)−8a2⋅−5−1(3a2)−1⋅−5
Multiply a 2 by a 2 by adding the exponents.
Use the power rule a m a n = a m + n to combine exponents.
− 8 ⋅ 3 a 2 + 2 − 8 a 2 ⋅ − 5 − 1 ( 3 a 2 ) − 1 ⋅ − 5
Multiply−8by3.−24a4−8a2⋅−5−1(3a2)−1⋅−5
Multiply−5by−8.−24a4+40a2−1(3a2)−1⋅−5
Multiply3by−1.−24a4+40a2−3a2−1⋅−5
Multiply−1by−5.−24a4+40a2−3a2+5
Subtract3a2from40a2.−24a4+37a2+5
Step-by-step explanation: Please hep me with this if you know!
What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Answers
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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The boys and girls soccer clubs are trying to raise money for new uniforms.
Answers
Answer: the answer you chose was correct x+y <1000
x=<75
Step-by-step explanation:
first they are selling 3 dollar and 4 doallar items to get above 1000 dollars
then they sayed at least 75 bags of hot chips so it has to be 75 or higher
What is the slope of the line that passes through the point (-4,-4)and (6,4)?
Answers
Answer:
slope = 0.8
Step-by-step explanation:
HOPE THIS HELPS :)
the miller school of business at ball state university claims to have a 73% graduate rate from its online mba program. a happy student believes that the 3-year graduation rate is higher than that. a sample of 500 students indicates that 371 graduated within three years. what is the lower limit for the 95% confidence interval for the true graduation rate? use decimals rather than percentages and round your answer to three decimal places.
Answers
The lower limit for the 95% confidence interval for the true graduation rate is 0.704.
What is confidence interval?The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level.
We can use the formula for the confidence interval for a proportion:
lower limit = sample proportion - z * √((sample proportion * (1 - sample proportion)) / sample size)
where z is the z-score corresponding to the desired level of confidence (95% in this case), and sample size is 500.
The sample proportion is 371/500 = 0.742.
The z-score for a 95% confidence level can be found using a standard normal distribution table or calculator, and is approximately 1.96.
Plugging in the values, we get:
lower limit = 0.742 - 1.96 * √((0.742 * 0.258) / 500)
lower limit = 0.704
Rounding to three decimal places, the lower limit for the 95% confidence interval for the true graduation rate is 0.704.
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8 - 2x < 18 Which number line best represents the solution set for the inqeuality below
Answers
solution
here,8-2x < 18
- 2x < 18-8
- 2x <10
x <10÷ -2
x< -5
Ken went to the playground at 12:45 P.M. He played on the slide for 33 minutes and the
swings for 10 minutes, then went home. What time was it when Ken left the playground?
Answers
The ratio 28:21 is equivalent to 4:x. What is the value of x?
Answers
Answer:
3
Step-by-step explanation:
28:21=
7(4):7(3)=
4:3
x=3
Hope this helps!
What is the unit rate of pounds of per lion in part (a)
Answers
13 = t/7 what is t???
Answers
Answer:
91
Step-by-step explanation:
13=t/7
t=13*7
t=91
Answer:
91
Step-by-step explanation:
91/7 = 13
Write 84000 in standard form
Answers
Answer: 8.4000
Step-by-step explanation:
Answer: Or i could be 8.4 × 104
Step-by-step explanation: You multiply this and get 840000 or 8.4000
Different size containers. Tanner used for storing dry goods. The largest container held 12 /3/4 cups of dry goods. 2/3 of the amount in container a, 2/3 of the amount in container b. What was the total amount in cups of dry goods. That tanner could store in all three containers
Answers
Answer:
29 3/4 cups
Step-by-step explanation:
total amount of tanner in the 3 containers = sum of tanners in each container
total cups in containers b and c = 2/3 x 12 3/4
2/3 x 51/4 = 17/2 cups or 8 1/2 cups
total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4
The width of a rectangle is 3 less than twice the length, x. If the perimeter of the rectangle is 36 feet. Find length and width.
Answers
The length of the rectangle is given to be x.
The width of a rectangle is 3 less than twice the length. This can be written mathematically to be:
\(\begin{gathered} \text{Twice the length }\Rightarrow2x \\ \text{Three less }\Rightarrow2x-3 \end{gathered}\)Therefore, we will have the rectangle to look as shown below:
The formula to calculate the perimeter of a rectangle is given to be:
\(P=2(l+w)\)Given that we have the following parameters:
\(\begin{gathered} P=36 \\ l=x \\ w=2x-3 \end{gathered}\)Substituting these values, we can get the value of x as shown below:
\(\begin{gathered} 36=2(x+2x-3) \\ 36=2(3x-3) \\ 36=6x-6 \\ 6x=36+6 \\ 6x=42 \\ x=\frac{42}{6} \\ x=7 \end{gathered}\)Given that the length has been calculated, we can get the width to be:
\(\begin{gathered} w=2(7)-3 \\ w=14-3 \\ w=11 \end{gathered}\)ANSWER
The length of the rectangle is 7 feet and the width of the rectangle is 11 feet.
Solve the augmented matrix by elementary row operations. 9. (4 points) Let A and B be 3 by 3 matrices with det (A) = 3 and det (b) = 5. Find the value of det (AB).
Answers
The value of determinant of the matrix det (AB) is 15.
Given matrices A and B are 3 by 3 matrices with
det (A) = 3 and
det (b) = 5.
We need to find the value of det (AB).
Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.
By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].
Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.
The determinant of AB can be calculated as det(AB) = det(A) × det(B)
= 3 × 5
= 15.
Conclusion: The value of det (AB) is 15.
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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)
=> det(AB) = 3 × 5
=> det(AB) = 15.
Hence, the value of det(AB) is 15.
The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:
det(AB) = det(A)det(B).
Given that: det(A) = 3
det(B) = 5
Now, let C = AB be the matrix product. Then,
det(C) = det(AB).
To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.
Given matrices A and B are: Matrix A and B:
[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]
= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].
We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.
det(A) = 3.
Therefore, det(AB) = det(A)det(B)
= 3 × 5
= 15.
Conclusion: Therefore, the value of det(AB) is 15.
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van purchased a DVD player on sale the original price was $171.50 the sale price was $149.37 what is the first step finding the percent markdown find the percent markdown
Answers
Answer:
12.90%
Step-by-step explanation:
Given ;
Original price = 171.50
Sale price = 149.37
To find the % markdown :
Markdown = Purchase price - sale price
171.50 - 149.37 = 22.13
(Markdown / purchase price) * 100%
(22.13 / 171.50) * 100%
0.1290379 * 100%
= 12.90%
A + B + C = 12
4A - 4B + 2C = -16 -
3A + 3B - C = 4
Solve the system
Answers
Answer:
Step-by-step explanation:
Add them all together which is
ABC124A4B2C-16-3A3B-C yep
CAN SOMEONE CHECK MY ANSWERS FOR ME RQ?
1. Addition:
a. x - 5 = 10
b. s - 4 = 6
c. y - 11 = 24
d. t - 8 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 17 = 24
d. t + 3 = 118
3. Multiplication
a. 1/5 x = 10
b. 1/2 s = 8
c. 1/2 t = 6
d. 1/4 y = 20
4. Division
a. 4x = 36
b. 13x = 52
c. 5x = 25
d. 10x = 120
5. Mixed Practice
a. x + 9 = 7
b. 23 - y = 44
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4 x = 4
i. 24x = 3
j. 1/10 x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2 q = 8
o. 15t = 24
My answers:
1.
A.15
B.10
C.35
D.17
2.
A.8
B.2
C.7
D.115
3.
A.50
B.16
C.12
D.80
4.
A.9
B.4
C.5
D.12
5.
A.-2
B.-21
C.7
D.60
E.0
F.1
G.100
H.16
I.1/8
J.500
K.636
L.2
M.17
N.16
O.8/5
Answers
Answer:
All looks good but Problem 5 K
363
Step-by-step explanation:
33 x 11 = 363
Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.
hope this helps!
please give brainliest!
Please answer below :)
Answers
Answer:(x+2)(x+8)
Step-by-step explanation:
Do a line and a point always sometimes or never intesect? Explain.
Answers
Answer:
Hi! im not sure about the always sometimes one but i could help on the never intersect.
Step-by-step explanation:
so the picture below is 2 lines crossing over each other the never intersect is these 2 lines cannot touch i think, so if they dont touch they would be parallel so one line is exactly the same right next to it so there not touching. i hope this helps :p
Answer:
Sometimes, it depends. They intersect when when the point is on the line
8x-2=46 what is this but like you have to use a upside down T
Answers
Step-by-step explanation:
8x-2=46
collect like terms
8x=46+2
8x=48
Divide both sides by 8
8x÷8=48÷8
x=6
x=6
Step by step:
A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is greater than 4.
Event B: The number rolled is even.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A or B": {
(b) Event "A and B": {
(c) The complement of the event B:
Answers
Answer:
a) A ∪ B = {2, 4, 5, 6}
b) A ∩ B = {6}
c) \(\sf B^c\) = {1, 3, 5}
Step-by-step explanation:
Set notation is used in math to list numbers, objects or outcomes.
It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.
The listing method of set notation simply lists the numbers in the set.
The three dots "..." means it is infinite (goes on forever).
Given:
A number cube with faces labeled 1 to 6.Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.
Event A
The number rolled is greater than 4.
Therefore, the set of outcomes for event A is {5, 6}.
Event B
The number rolled is even.
Therefore, the set of outcomes for event B is {2, 4, 6}.
Part (a)
Event "A or B" means the outcomes in A or B or both.
⇒ A ∪ B = {2, 4, 5, 6}
Part (b)
Event "A and B" means the outcomes in both A and B.
⇒ A ∩ B = {6}
Part (c)
The complement of event B means everything that is not in B.
\(\sf \implies B^c =\) {1, 3, 5}
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