Answer:
Parallelogram Theorem #1 Converse
Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Parallelogram opposite sides converse. Therefore, option A is the correct answer.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Let the diagonals AC and BC intersect at O.
Consider, triangle BOC and triangle AOD
OA=OC (Shown in the figure)
∠AOD=∠BOC (Vertically opposite angles are equal)
BO=DO (Shown in the figure)
By SAS congruence theorem
triangle BOC and triangle AOD are congruent
So, by CPCT AD=BC
Similarly,
From, triangle AOB and triangle DOC
AB=DC
Therefore, option A is the correct answer.
Learn more about the parallelogram here:
https://brainly.com/question/19187448.
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Movie tickets are $4 for regular admission and $3 for seniors. On a night where there were 190 people and total sales of $720 how many regular admission tickets were sold?
A. 50
B. 150
C. 40
D. 140
Answer:
150
Step-by-step explanation:
So if we rearrange the second equation we can get:
s = 190 - a
Now we substitute this into the first equation:
4a + 3(190 - a) = 720
4a + (570 - 3a) = 720
4a + 570 - 3a = 720
4a - 3a = 720 - 570
a = 150
Please answer with explanation
Answer:
y = 2x + 1
Step-by-step explanation:
Line is passing through the points (-3, - 5) and (4, 9)
Slope of the line (m) [tex] =\frac{-5-9}{-3-4}=\frac{-14}{-7}=2[/tex]
Equation of line in given as:
[tex]y - 9 = 2(x - 4) \\ \\ y - 9 = 2x - 8 \\ \\ y = 2x - 8 + 9 \\ \\ y = 2x + 1[/tex]
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.
Answer:
[tex]D = (7,3)[/tex]
Step-by-step explanation:
Given
[tex]D = (3,7)[/tex]
See attachment for graph
Required
Identify and correct the error
From the attached graph, the coordinate of D is at:
[tex]x = 7[/tex]
[tex]y = 3[/tex]
So:
Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.
So, the right coordinate is:
[tex]D = (7,3)[/tex]
Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
HELP PLEASE!! No websites allowed please, complete 1,2,3, and 4.
NO WEBSITES! OR YOU ARE REPORTED thank you
Answer:
1: 31.5. 2: 5. 3: 4.6 4: 45
Find h.(Type your answer in simplest radical form)
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
Using the geometric mean rules for this geometry, we have ...
h = √(4·32) = 8√2
and also ...
a = √(4·36) = 12
b = √(32·36) = 24√2
For the problem at hand, ...
h = 8√2 = x√y ⇒ x = 8, y = 2
Find the next 2 numbers in the sequence: 7, 28, 49,70, ....
Answer:
n
Step-by-step explanation:
Answer: 91, and 112
Step-by-step explanation: its is by two each time for example in the 7 time tables you see 7, 14, 21, 28 so the number after 14 and 21 is the next number, hope this helped have a good day or night. :)
Θ lies in quadrant III, φ lies in quadrant I. cos θ = -8 /17 , cos φ = 15 /17 . What is cos (θ - φ)?
Answer:
cos(θ - φ) is -240/289
Step-by-step explanation:
The given parameters are;
The location of θ = Quadrant III
The location of φ = Quadrant I
cos(θ) = -8/17
cos(φ) = 15/17
By trigonometric identities, we have;
cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)
Given that 'θ' is in quadrant III, we have;
sin(θ) is negative
By Pythagoras' theorem, we have;
∴ sin(θ) = -√(17²- 8²)/17 = -15/17
Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;
sin(φ) = √(17² - 15²)/17 = 8/17
∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699
Definition of exponential?
Answer:
(of an increase) becoming more and more rapid.
"the social security budget was rising at an exponential rate"
Step-by-step explanation:
✨research ✨
Answer:
(of an increase) becoming more and more rapid.
(Mathematics)
of or expressed by a mathematical exponent.
Step-by-step explanation:
A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing to create new plants. The table below shows the expected number of bulbs for each method.
Need Part A-C
Answer:
Step-by-step explanation:
Part A
If the gardener increases the number of dahlia plants by buying the new bulbs,
Let the equation representing year (x) and number of bulbs purchased (y) is,
y = mx + b
Here, m = Number of plants purchased each year
b = Initial numbers of plants
For x = 0, and y = 6,
6 = m(0) + b
b = 6
For x = 1, y = 56,
56 = m(1) + 6
m = 50
Therefore, equation for this method of increasing the numbers of plants will be,
y = 50x+ 6
Let the equation for the second method of increasing the number of plants is represented by the equation,
y = a(b)ˣ
From the data given in the table,
For x = 0, y = 6
6 = a(b)⁰
a = 6
For x = 1, y = 12
12 = 6(b)¹
b = 2
Therefore, equation representing the second method (By diving the existing bulbs) will be,
y = 6(2)ˣ
Part B
By substituting the value of x = 10 years,
Method - 1
y = 50(10) + 6
y = 506 plants
Method - 2
y = 6(2)¹⁰
y = 6144 plants
Part C
After 5 years number of plants by method - 1,
y = 50(5) + 6
= 256
After 5 years number of plants by method - 2,
y = 6(2)⁵
y = 192
Similarly, After 10 years number of plants by method - 1,
y = 50(10) + 6
= 506
By method - 2,
y = 6(2)¹⁰
y = 6144
Since, number of plants after 5 years are less by the second method as compared to method 1
But after 10 years second method results the number of plants more than method-1,
Therefore, gardener should adopt method 2 for increasing the numbers of plants.
Functions are used to represent tables and equations.
(a) The equation of the functions
The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)
So, the equation is:
[tex]y = 6 + 50x[/tex]
The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)
So, the equation is:
[tex]y = 6(2)^x[/tex]
Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]
The expected number of bulbs in 10 years
This means that x = 10.
So, we have:
[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]
[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]
Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively
Compare the expected number of bulbs in 5 and 10 years
When x = 5.
We have:
[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]
[tex]y = 6(2)^x =6 *2^5 = 192[/tex]
When x = 15
We have:
[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]
[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]
By comparison;
In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years
Read more about functions at:
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The town of Butler received 6 more inches of snow than the town of Chicora. Let c represent the amount of snow in Chicora. Which algebraic expression represents the amount of snow in Butler?
pls help i have been stuck on this for like an hour now.
Answer:
y=c+6
Step-by-step explanation:
this is the only equation I could think that fits the situation
hope this helped!
What is the solution to the equation: 3x + 5 = 3x − 5
Answer:
no solution
Step-by-step explanation:
Answer:
the answer is no solution
Step-by-step explanation:
You preform a business service for which you charge $575. You receive $200 in cash and a promissory note for the balance, payable in 60 days. What steps will you use to show this transaction on your balance sheet?
Answer:
Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375
Revenue Earned is also increased By $ 575.
Step-by-step explanation:
We make a journal entry
Cash $200 Debit
Notes Receivable $ 375 Debit
Services Revenue Earned $ 575 Credit
In the balance sheet the Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375 on the Assets sides.
On the Liabilities side in the Owner's Equity section Revenue Earned is also increased By $ 575.
Increasing both sides ( Assets and Liabilities sections) with equal amounts will have no effect on the Balance Sheet .
HELP ME FIND THE OPPOSITE OF THIS PLEASE!!! I’ll mark brainliest
Answer:
-3p^7 + 8p
Step-by-step explanation:
OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.
21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24
Answer:
Answer is D) 42x − 24
Step-by-step explanation:
Opening the expression given in question
6(7x − 4)
6 will be multiplied by both items present inside parenthesis.
it can be written as
={(6 * 7x) - (6*4)}
=42x-24
Hope that clears the question.
A triangle has vertices A(-2,1), B(2,4), C(4,1).
Find the area of the triangle.
Answer: 6 units squared
Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.
Find missing side? Soh cah toa
Answer:
x ≈ 14.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.6 ( to 1 dec. place )
A six-sided fair mmber cube is rolled once. What is the probability that the result is a 2 or a 5?
Write answer as fraction in its simplest form.
Answer:
1/3
Step-by-step explanation:
this is because you have six sides and two options to get and then 2/6 is 1/3
z
Note: Figure is not drawn to scale,
If x = 4 units, y = 17 units, and z = 3 units, then what is the surface area of the rectangular prism shown above?
OA.
131 units
OB. 330 units
C.
204 units
D
262 units2
_______ samples are used to ensure representation from different types of subgroups in a population.
Answer:
d
Step-by-step explanation:
can i have brainliest
What is the value of 2x to the power of 2 when x = 1.5?
15.0
4.45
4.50
450
Answer: 4.50 Look at the picture
Step-by-step explanation: Hope this help :D
I need help with the first
Answer:
eq: s= 5w + 3
Step-by-step explanation:
independent: number of weeks
dependent: amount of stickers
the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)
module six review and discussion-based assessment
Answer:
okay what's your question?
Step-by-step explanation:
Answer:
whats the question
Step-by-step explanation:
A circular region with a 6 mile radius has a population density of 50 people per square mile. Find the number of people that live in the region
Answer:
population = 5652 people
Step-by-step explanation:
area = πr² = (3.14)(6²) = 113.04 mi²
at 50 people/mi², then 113.04 x 50 = 5652 people
Identify the distance between points (3,7,1) and (9,6,7), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Answers:
A- d ≈ 8.5 units; M (12, 13, 8)
B- d ≈ 73 units; M (6, 6.5, 4)
C- d ≈ 8.5 units; M (6, 6.5, 4)
D- d ≈ 7.6 units; M (6, 6, 4)
Answer:
d ≈ 8.5 units; M (6, 6.5, 4)
Step-by-step explanation:
Got a lucky guess. Hope this helps:)
Use the information shown in the line plot.
How many fruit baskets weigh more than
4
1
2
412
pounds and less than
6
pounds?
Enter your answer in the box.
_____fruit baskets
Answer:
8.
Step-by-step explanation:
5 and 5 1/2 are the only fractions between 4 and 6. There are 4 dots above each, and 4 x 2 = 8. (I know the amount of dots because I had this question.)
There are two baskets that weigh more than 4 but less than 6.
The weights of fruit baskets are:
4, 1, 2, 5, 5(1/2), 6
What is weight?Weight is the quantity of matter in a physical body.
We can see that fruit baskets that weigh more than 4 pounds but less than 6 pounds are ones with weights of 5 pounds and 5(1/2) pounds.
So, there are two baskets that weigh more than 4 but less than 6.
Thus, there are two baskets that weigh more than 4 but less than 6.
To get more about weight visit:
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!!!!!!!!! PLEASE HELP !!!!!!!!!!
Solve x² - 6x - 7 = 0
Answer:
x = 7, -1
Step-by-step explanation:
At a frozen yogurt shop, you
pay $1.50 for the cup and
$0.50 per ounce. If the total
cost of a cup of yogurt is
$4.00, how many ounces of
yogurt did you buy?
2.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
inverse variation; xy = 12
inverse variation; [tex]\frac{y}{x} =12[/tex]
direct variation; y = 12x
direct variation; [tex]y=\frac{12}{x}[/tex]
Answer: Other Answers..
SHOW ANSWER
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Step-by-step explanation: Brainly answers.. -_-
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.
The inverse variation is defined as
Where, k is constant of proportionality.
From the given table it is clear that the value of y is 6 at x=2.
The value of k is 12. So, the required model is
Therefore, the correct option is B.
Answer: B
Step-by-step explanation:
pls help immediately! this is due in 3 mins :/. (pls don’t give a link, i’ll give brainiest for the correct answer just pls help!)
Answer:
50 i think but i'm not 100 % sure i'm sorry
Step-by-step explanation: