Answers
Note that the proof related to the above parallelogram is given as follows:
ΔSVX ≅ ΔUTX Given
SV || TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
What is a Parallelogram?A quadrilateral having two pairs of parallel sides is known as a parallelogram. It is possible to demonstrate that the opposing sides of a parallelogram are congruent.
A parallelogram is any quadrilateral having two pairs of congruent opposing sides. Parallelograms contain two congruent opposing angles, thus a quadrilateral with two congruent opposite angles must be a parallelogram.
A parallelogram's diagonals intersect each other, therefore a quadrilateral with diagonals that bisect each other must be a parallelogram. Finally, if a quadrilateral contains two parallel and congruent sides, it must be a parallelogram.
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Related Questions
show your work
answer:v/7= 8
Answers
Answer:
V=56
Step-by-step explanation:
7x8=56
56/7=8
Answer:
v=56
Step-by-step explanation:
1 Multiply both sides by 77.
v=8\times 7v=8×7
2 Simplify 8\times 78×7 to 5656.
v=56
The sum of two numbers is 65. The smaller number is 15 less than the larger number. What are the numbers?
Answers
Answer:
the numbers are 25 and 40
How do I solve this problem?
Answers
Answer:
It would take 1 more mile if he took route Street A and then Street B rather than just Street C.
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We use the Pythagorean Theorem to find the length of Street C:
2² + 1.5² = c²
c = √6.25
c = 2.5
Now we find how much longer route A and B is compared to C:
3.5 - (2 + 1.5) = 3.5 - 2.5 = 1
Match each function to its domain and range.
a country's population in 1990 was 37 million in 1999 it was 40 million estimate the population in 2016 using exponential growth formula round your answer to the nearest million
Domain and Range
Function
domain: {0, 1, 3, 5, 6}
range: {-20, -16, -8, 0, 4}
arrowBoth
domain: {-2, -1, 0, 3, 4}
range: {-13, -8, -3, 12, 17}
arrowBoth
domain: {-4, -2, 0, 2, 4}
range: {-40, -20, 0, 20, 40}
arrowBoth
domain: {-3, -2, -1, 2, 6}
range: {0.5, 0, -1.5, 3, 2}
arrowBoth
Answers
Answer:
This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:
f(t)=ae^(kt)
thus substituting the value we get:
40=37e^(9k)
this can be written as:
(40/37)=e^(9k)
introducing the natural logs we get:
ln(40/37)=9k
hence;
k=1/9ln(40/37)=0.0087
Therefore our formual will be given by:
f(t)=37e^(0.0087t)
N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;
t=26
thus
f(t)=37e^(26*0.0087)
f(t)=46.35 million
Step-by-step explanation:
Which expressions are equivalent? Check all that apply. 39 34 –92 99 Which expressions are equivalent? Check all that apply. 39 34 –92 99 811
Answers
Answer:
3 to the fourth power and 81 to the first power.
Step-by-step explanation:
i took he quiz
The equivalent expressions are 3^4 and -9^2
How to determine the equivalent expressions?To determine the equivalent expressions, we simply solve the options.
So, we have:
3^9 = 19683
3^4 = 81
-9^2 = 81
9^9 = 387420489
From the above computation, we have:
3^4 = 81 and -9^2 = 81
Hence, the equivalent expressions are 3^4 and -9^2
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Trignometric functions:solve for x, round to nearest 10th
Answers
We can relate the anglex, the leg 8.6 and the hypotenuse 12 by means of the cosine function, that is,
\(\cos x=\frac{8.6}{12}\)which gives
\(\cos x=0.71666\)By applying inverse cosine in both sides, we have
\(x=\cos ^{-1}(0.7166)\)then, x is equal to
\(x=44.22\text{ degre}es\)Then, by rounding to the nearest tenth, the answer is 44.2 degrees
find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7
Answers
Answer:
A = $19,908.59
Step-by-step explanation:
Compound Interest
Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
\({\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}\)
Where:
A = final amount
P = initial principal balance
r = interest rate
k = number of times interest applied per time period
t = number of time periods elapsed
We are given the following data:
P = $12,000
r = 7.5% = 7.5/100 = 0.075
t = 7
k = 1 since there is only on compounding per year.
Applying the formula:
\({\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}\)
\({\displaystyle A=\$12,000\left(1.075\right)^{7}}\)
A = $19,908.59
Find the angle θ between a = 3i − k, b = 2i + 2k
Answers
a · b = ||a|| ||b|| cos(θ)
where ||a|| and ||b|| are the magnitudes of the vectors a and b, respectively.
First, we need to find the magnitudes of the vectors:
||a|| = sqrt(3^2 + 0^2 + (-1)^2) = sqrt(10)
||b|| = sqrt(2^2 + 0^2 + 2^2) = 2sqrt(2)
Then, we can calculate the dot product:
a · b = (3i - k) · (2i + 2k)
a · b = 6 + 0 - 2
a · b = 4
Now we can solve for the angle θ:
a · b = ||a|| ||b|| cos(θ)
4 = sqrt(10) * 2sqrt(2) cos(θ)
cos(θ) = 4 / (sqrt(10) * 2sqrt(2))
cos(θ) = 2 / sqrt(5)
Finally, we can calculate the angle θ:
θ = cos^-1(2 / sqrt(5))
θ ≈ 54.7 degrees
Therefore, the angle between a and b is approximately 54.7 degrees.
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
Answers
To calculate the simple interest, we use the following formula:
(Principal) • (interest rate) • (time) = simple interest
Plugging the values in, we will find that:
$2,750 (our principal) • 0.015% (our interest rate represented by a decimal) • 3 (our time period in years) = $123.75 (our simple interest)
Ultimately, Devi made an investment and in 3 years earned a simple interest of $123.75.
a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20
Answers
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A
How to find the expressionThe vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.
In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:
\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)
From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).
The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is \((x - 4)^2 - 20.\)
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Find the values of X and Y
Answers
7y=5y+36 and 3x-21=2x+4
Solve for y and then x
7y=5y+36
Subtract 5y on both sides to get
2y=36
Then divide by 2 on both sides to Get y=18
For 3x-21=2x+4,
Subtract 2x on both sides to obtain
x-21=4
Then add 21 to both sides to get
x=25
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Hello.. Find an angle between 0 and 2pi (in decimal form) that is coterminal with the given angle.
a. 13pi/5
b. -13pi/3
c. 57pi/2
d. 11pi/7
I know the answer to the first one is 1.88495559215. However, following the formula I was given by my teacher gives me decimals that are higher than the decimal for 2pi or lower than 0, so the other questions keep being wrong. Can someone please help?? I have no idea what to do.
Answers
9514 1404 393
Answer:
a. 1.88495559215 radians
b. 5.23598775598 radians
c. 1.57079632679 radians
d. 4.93678845564 radians
Step-by-step explanation:
You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.
a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)
b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598
c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679
d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564
All angles are in radians.
__
* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.50) ?
Answers
Answer:
1.86
Step-by-step explanation:
Answer:
x= 1.86666666667
Step-by-step explanation:
18 Geometry question: Use an algebraic equation to find the measure of each angle that is representative in terms of X
Answers
Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°
What is the 31st term in the sequence 204,200,196
Answers
Answer:
a(31) = 84
Step-by-step explanation:
The first term, a(1) is 204, and the common difference is 4. That is, each new term is 4 less than the previous term.
The rule governing this arithmetic sequence is
a(n) = 204 - 4(n - 1)
and so the 31st term is
a(31) = 204 - 4(30) = 84
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answers
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation \( =\frac{12}{6}= 2\)
Yolanda scored 10 points in a basketball game. She could have scored with one‐point free throws, two‐point field goals, or three‐point field goals. In how many different ways could she have scored her 10 points?
Answers
she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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ANSWER FOR BRAINLIEST
Choose the appropriate descriptor for the term square centimeter .
mass
length
volume
area
Answers
Answer:
it's area the forth one
Step-by-step explanation:
...............
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answers
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.
A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?
Answers
Answer:
459.54
Step-by-step explanation:
46(9.99)
=459.54
Answer:
$159.89
Step-by-step explanation:
36 hours + 10 hours = 46
14.99 * 10 = 149.9
(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89
$9.99 + $149.9 = $159.89
$159.89
on zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one doll on each shelf?if she has 4 dolls before
(a) 720
(b) 30
(c) 360
(d) 6
Answers
Answer:
6 is the correct answer
Step-by-step explanation:
Hope it is helpful...
Which statement describes the system of equations?
(3x-4y=-35
(3x + 4y = 5
It has one solution (-5.5).
It has one solution (5, -5).
The system has no solution.
The system has infinitely many solutions.
Answers
Answer:
one solution
Step-by-step explanation:
3x - 4y = -35
3x + 4y = 5
6x = -30
x = -5
3(-5) + 4y = 5
-15 + 4y = 5
4y = 20
y = 5
(-5, 5)
The system of equations has one solution (-5.5) which is correct option (A).
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
What is linear equation?A linear equation is defined as an equation in which the highest power of the independent variable is always one.
Given the system of equations as :
3x - 4y = -35
3x + 4y = 5
Addition the both equations
3x - 4y + 3x + 4y = -35 + 5
6x = -30
Divided by 6 both the sides,
x = -30/6
x = -5
Substitute the value of x =2 in the equation 3x + 4y = 5
So, 3(-5) + 4y = 5
-15 + 4y = 5
4y = 20
Divided by 4 both the sides,
y = 20/4
y = 5
So, It has one solution x = -5 and y = 5
Hence, the system of equations has one solution (-5.5).
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Find the value of x that will make A||B.
A
B
4x
(3x + 10
X =
[?]
Enter
![Find the value of x that will make A||B.AB4x(3x + 10X =[?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/7gWoU8njPyNFflRJW1UJSC1ObxoIrbMb.png)
Answers
- BRAINLIEST answerer ❤️✌
The value of the variable 'x' by the corresponding angles property will be 10.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
From the diagram, by the corresponding angles property, the equation is given as,
4x = 3x + 10
Simplify the equation, then we have
4x = 3x +10
x = 10
The value of the variable 'x' by the corresponding angles property will be 10.
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A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answers
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
Answers
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
Answers
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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8 cups of orange juice is used for the fruit punch for every 12 cups of apple juice. If there is a total of 60 cups of fruit punch, how many cups of orange juice is needed?
Answers
Answer:
It would be 40 Orange Juice cup
Step-by-step explanation:
Cause 12 times 5 would equal 60
So if you times 5 and 8 it would be 40
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
Answers
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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Audrey and Lauren began reading a novel on the same day. Audrey reads 15 pages a day and Lauren reads 5 pages a day. If Audrey is on page 45, on what page is Lauren?
Answers
If Audrey is on page 75, then Lauren is on page 25.
What is ratio and proportion?It is the comparison of two quantities of the same kind is called ratio.
It is an equation in which two ratios are equal is proportions
Given;
Audrey reads 15 pages a day and Lauren reads 5 pages a day.
So, the ratio of number of pages for Audrey and Lauren would be;
15 : 5
Let 'n' be the number of pages Lauren read when Audrey is on page 75.
Now, the ratio of number of pages would be;
75 : n
Here, both the ratios are in proportion;
15/5=75/n
15x n= 75x5
n=25
Therefore, Lauren is on page number 25.
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IS
The human population doubles
approximately every 50 years. If there
were 2,500,000 people in 1950, how
many people are forecasted to populate
the earth in 2050?
Answers
Answer:
7,500,000
Step-by-step explanation:
Basically times 2,500,000 by 3