(see attached photo)
The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement: Reasons:
1 AB is parallel to DC and AD is parallel to BC -Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 -If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD -Reflexive Property
4 triangles ADB and CBD are congruent -If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by ______?_?_?_______
5 AB = DC, AD = BC -Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 4 in the chart?
AAS postulate
ASA postulate
HL Postulate
SAS postulate
Answers
Step 4 of the proof states that the triangles ADB and CBD are congruent, and the reason is that :
Angle 4 - Side BD - Angle 1 of triangle ADB are respectively equal to
Angle 3 - Side BD - Angle 2 of triangle CBD.
So we have 2 pairs of congruent angles including 2 equal sides of the triangles. This is congruence by ASA postulate.
The correct postulate for reason 4 in the proof chart is the ASA postulate.
To complete the missing information for reason 4 in the proof chart, we need to identify the correct postulate used for congruent triangles.
The given triangles ADB and CBD share the side BD (Reflexive Property), and they have pairs of congruent angles formed by the parallel lines (Alternate Interior Angles Theorem).
Since these triangles have two angles and the included side congruent, the appropriate postulate is the ASA postulate (Angle-Side-Angle).
Therefore, the correct choice is the ASA postulate.
Related Questions
show how you round 1345/99 to the nearest integer
Answers
14
Rounding is easy, just look at the number in the tenths place. If the number is less than 5 round down and if the number is greater than or equal to 5 round up.
what it the answer to 5r-1/5=4/5
Answers
5(5r - 1/5) = (4/5)5
25r - 1 = 4
Then to isolate the variable you need to add 1 to both sides.
25r = 5
Then you divide.
r = 5/25
Simplify.
r = 1/5
I hope this helps love! :)
The answer to your problem is
R= 1/5
In the given kite, AE = 6 ft , BE =9ft , and DE = 15ft . Determine the area of the kite .
Answers
BE Plus DE=24
The 12*24=288
Bc you multiply length times width
I hoper I helped
Answer:
The area of a kite is 144 ft².
Step-by-step explanation:
Given information: AE = 6 ft , BE =9ft , and DE = 15ft .
Area of kite is
[tex]A=\frac{1}{2}d_1d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are diagonals of kite.
From the given figure it is clear that BD and AC are diagonals of the kite.
[tex]d_1=BD=BE+DE=9+15=24[/tex]
[tex]d_2=AC=AE+CE=6+6=12[/tex]
The area of given kite is
[tex]A=\frac{1}{2}\times 24\times 12[/tex]
[tex]A=144[/tex]
Therefore the area of a kite is 144 ft².
How much money would be collected if 24 were sold?show your work
CAN YOU GUYS ALSO HELP ME ON 10,and12
Answers
PLEASE HELP :):):):):):):):))
Joe's age x, is 5 times his age 10 years ago. Which equation represents the statement?
a) x = 5x - 6
b) x = 5x + 6
c) x= 5 - 10x
d) x = 5(x - 10)
Answers
Answer:
d) X=5(X-10)
Step-by-step explanation:
Joe's age is change to X, so we know that his age today is 5 times his age 10 years ago.
His age ten years ago is X-10, if for example he is 25 today then his age ten years ago would be 15 (25-10).
If his age now is 5 times his age 10 years ago we will have to multiply his age ten years ago to get his age today.
Example:
5(X-10), this is how we can write 5 times his age 10 years ago, in a mathematical way.
Now we just have to know that this equation is equal to his age today X.
5(X-10) = X, or another way to put it is:
X=5(X-10)
The ratio of weight on the moon to weight on earth is 1:6. How much would a 174 pound person weigh on the moon?
Answers
teesha is in the French Club there are 26 students in the club the French teacher will pick three students at random to guide visiting students from France what is the probability that Tisha will not be picked as a guide
Answers
Jamie has 7/10 of a pound of chicken to cook for dinner. If she is going to split the chicken beween 3 people,how much chicken will each person get?
Answers
There are 12 pieces of fruit in a bowl. Seven of pieces are apples and two are peaches.what is the probability that a randomly selected piece of fruit will not be an apple or a peach? justify your answer
Answers
suppose you go to a concert and purchase 3 identical t-shirts and a hat. the hat cost $21 and you spend $60 in all how much does each t-shirt cost ?
Answers
That gives you 39, so you then divide that by 3.
That gives you 13, so each t-shirt cost $13.
Hope this helps
Yunika downloaded four applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.99 each.If she downloaded x total applications, which of the following equations can be used to find how much Yunika spent on cell phone application downloads?
A. y = 1.99(x - 4) + 11.96
B. y = 11.96(x - 4) + 1.99
C. y = 1.99x + 11.96
D. y = 11.96x + 1.99
Answers
Answer:
THE ANSWER IS A and I GO TO AMANA ACADEMY CHARTER SCHOOL
Step-by-step explanation:
Yunika downloaded four applications for $2.99 each to her cell phone. So, these four applications cost a total of $11.96.
Each remaining application that Yunika downloaded cost $1.99. Since represents the total number of applications, then ( - 4) represents the number of $1.99 applications she downloaded.
Therefore, the equation that can be used to find how much Yunika spent on cell phone application downloads is shown below.
= 1.99( - 4) + 11.96
Final answer:
The equation to represent the total amount spent by Yunika on cell phone application downloads is y = 1.99(x - 4) + 11.96, which corresponds to option A.
Explanation:
To find the equation representing the total amount spent by Yunika on cell phone application downloads, we can let y represent the total amount spent and x represent the total number of applications downloaded. As given, Yunika downloaded four applications at $2.99 each which gives us a fixed cost of 4 applications × $2.99 = $11.96. The remaining applications cost $1.99 each, so for every application after the first four, Yunika spends $1.99. The total amount spent, y, can thus be calculated by multiplying the number of additional apps (which is x - 4) by their cost ($1.99), and then adding the fixed cost ($11.96).
Therefore, the equation can be written as y = 1.99(x - 4) + 11.96, which matches option A. This equation takes into account both the initial fixed cost for the first four apps and the variable cost for the remaining apps.
V(j+y)=61y+82 solve for y
Answers
vj + vy = 61y + 82
Subtract 'vj' from both sides
vy = 61y + 82 - vj
Subtract 61y from both sides
vy - 61y = 82 - vj
Factor out the term y.
y (v - 61) = 82 - vj
Divide both sides by v - 61
y = 82 - vj / v - 61
☺♥
the average person's stride length ,the distance covered by one step ,is approximately 2.5 feet long.How many steps would the average person take to travel 50 feet?
Answers
Answer:
20 steps
Step-by-step explanation:
It is given that distance covered by one step is approximately 2.5 feet long.
⇒ 2.5 feet long = One step
⇒ 1 feet long = [tex]\frac{1}{2.5}[/tex]
∴ 50 feet = [tex]50\times\frac{1}{2.5} = 20 steps [/tex]
Hence, person has to take 20 steps for travelling 50 feet.
the function y = 3.75 + 1.5(x-1) can be used to determine the cost in dollars for a taxi ride of x miles. what is the rate of change of the cost in dollars with respect to the number of miles?
Answers
Answer:
rate of change of the cost in dollars with respect to the number of miles= 1.5
Step-by-step explanation:
We have been given the function y = 3.75 + 1.5(x-1)
Let us simplify this equation
y = 3.75 + 1.5(x-1)
y= 3.75+1.5x-1.5
y = 1.5x+2.25
On comparing this equation withe the slope intercept form y = mx + b, we get
m = 1.5
b = 2.25
here x represents distance in miles and y represents the cost in dollars. So, the rate of change of the cost in dollars with respect to the number of miles would be equal to the slope of the line.
Thus, we have
rate of change of the cost in dollars with respect to the number of miles
= slope
= 1.5
The rate of change of a function is the slope of the function.
The rate of change of the function is $1.5 per miles
The function is given as:
[tex]\mathbf{y= 3.75 + 1.5(x - 1)}[/tex]
Open bracket
[tex]\mathbf{y = 3.75 + 1.5x - 1.5}[/tex]
Collect like terms
[tex]\mathbf{y = 1.5x - 1.5 + 3.75}[/tex]
[tex]\mathbf{y = 1.5x +2.25}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx +b}[/tex]
Where: m represents the slope
So, by comparison:
[tex]\mathbf{m =1.5}[/tex]
Hence, the rate of change of the function is $1.5 per miles
Read more about average rate of change at:
https://brainly.com/question/23715190
if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PLEASE ♥
Answers
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
" 4x − 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .
___________________________________________
Note:
If the "number" = "x" ; the "opposite of the number" = " -x " ;
___________________________________________
Rewrite as: " 4x − 12 = -2x " ;
_____________________________________________
→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:
4x − 12 + 12 + 2x = -2x + 12 + 2x ;
to get: 6x = 12 ;
____________________________________________________
Now, divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
6x / 6 = 12 / 6 ;
to get: x = 2 .
____________________________________________________
Answer: The number is: "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
→ " 4x − 12 = 2(-x) " ;
Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;
→ " 4(2) − 12 = ? 2(-2) ??
→ 8 − 12 = ? -4 ? ;
→ -4 = ? -4 ?? Yes!
__________________________________________________
a rational function, a value is _________ from the domain if it would create a 0 in the function's denominator.
Answers
Use the table to write and solve an equation to tell you the number of minutes for which the cost of both phone companies is equal
Answers
company B : 0.06m
to find out when they are equal, set them equal to each other and solve for m, the number of minutes
0.36 + 0.03m = 0.06m
0.36 = 0.06m - 0.03m
0.36 = 0.03m
0.36 / 0.03 = m
12 minutes <=== they will be the same at 12 minutes
check...
company A : 0.36 + 0.03(12) = 0.72
company B : 0.06(12) = 0.72
correct
Answer:
For 12 minutes, the cost of both companies will be equal and the cost will be 72¢.
Step-by-step explanation:
We are given the following information:
Let x be the number of minutes where the cost of both companies is equal.
Company A charger = 36 cents and 3 cents per minute
Company B charges = 6 cents per minute
Cost of Company A after x minutes:
[tex]36 + 3x[/tex]
Cost of company B after x minutes:
[tex]6x[/tex]
Equating the two equations:
[tex]36 + 3x = 6x\\6x-3x =36\\3x =36\\x=12[/tex]
Thus, for 12 minutes, the cost of both companies will be equal and the cost will be 72¢.
When filing separately, both Melvin and Sylvia have a standard deduction of $5700, and each can claim him/herself as an exemption for $3650. Neither has any additional adjustments to income. What is Melvin's taxable income? How about Sylvia's taxable income?
Answers
Melvin and Sylvia's taxable income is calculated by subtracting the sum of the standard deduction ($5,700) and the personal exemption ($3,650) from their adjusted gross income. Since the adjusted gross income was not provided, the exact taxable income cannot be determined without that information.
Explanation:When calculating Melvin and Sylvia's taxable income, we first need to use the given standard deduction and personal exemption to determine their taxable income. According to the information, the standard deduction is $5700 and the personal exemption is $3650 Therefore, we subtract the sum of these deductions from their adjusted gross income to find their taxable income.
Assuming Melvin and Sylvia both have the same adjusted gross income and ignoring any typos or irrelevant parts of the questions being asked, we have:
The formula for each individual's taxable income is as follows:
taxable income = adjusted gross income - (standard deduction + personal exemption)
To find Melvin or Sylvia's taxable income, simply plug their adjusted gross income into the formula.
What is the length of VW?
A. 16 units
B. square root of 13 units
C. 20 units
D. square root of 20 units
Answers
Answer:
D. square root of 20
Step-by-step explanation:
Please help me with this
Answers
If you have an equation where two number share the same base (ex: [tex]10 ^{x} * 10 ^{y}[/tex]), you keep the base the same and add the exponents ([tex]10 ^{x+y}[/tex]). So your first problem 10^5 * 10^7 = 10^12.
Dividing with exponents is just the opposite. If two numbers share the same base but have different exponents (ex: [tex] \frac{10 ^{x} }{10 ^{y} } [/tex]), you keep the base the same and subtract the exponents ([tex]10 ^{x-y} [/tex]). If this yields a negative exponent, you send it to the denominator and it becomes positive (ex: [tex]10 ^{-2} = \frac{1}{10 ^{2}} [/tex])
When simplifying expressions where you have the exponent of an exponent (ex: [tex](10 ^{x}) ^{y}[/tex]), you multiply the exponents together to create one power ([tex]10 ^{x*y}[/tex]. Same rule with yielding negative exponents applies but you should be okay looking at your worksheet.
If you need additional help still you can send me a message or reply in a comment and I'll come back. Same for if you need me to do examples from your piece of paper.
Write 0.00000347 in scientific notation. (PLEASE, TY!)
Answers
so you would count over 6 to get 3.47
then you you would do 3.47x10^-6
you might ask why negative six well you are going to the right of the decimal not the left
Answer: 3.47x10^-6
A line has a slope of –3 and a y-intercept of 3.
What is the x-intercept of the line?
A: –9
B: –1
C: 1
D: 9
Answers
In y = mx + b form, the slope will be in the m position and the y int will be in the b position. So ur equation for this line is y = -3x + 3.
To find the x int, u sub in 0 for y and solve for x
y = -3x + 3
0 = -3x + 3
3x = 3
x = 3/3
x = 1 <=== ur x intercept
The x-intercept of a line with a slope of -3 and a y-intercept of 3 is 1(C). This is calculated by setting y = 0 in the equation of the line (y = -3x + 3) and solving for x.
Explanation:The question is asking for the x-intercept of a line with a slope of -3 and a y-intercept of 3.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -3 and b = 3.
The x-intercept of a line is the x-coordinate where the line crosses the x-axis. At the x-intercept, the y-coordinate is 0 because it's on the x-axis. Therefore, we set y = 0 in our equation and solve for x: 0 = -3x + 3.
By adding 3x to both sides and then dividing by -3, we find that x = 1. So, the x-intercept of the line is 1(C).
Learn more about x-intercept here:https://brainly.com/question/14886566
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steps for solving 4(3x-6)=24
Answers
If a parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours?
Answers
7-4=3
2.25÷3=0.75
One hour is 0.75
three hours are 2.25
Answer:2.25
Step-by-step explanation:
Which lists all the integer solutions of the inequality |x| < 3?
A.) 0,1, and 2
B.) 0,1,2, and 3
C.) -2, -1, 0, 1, and 2
D.) -3, -2, -1, 0, 1, 2, and 3
Answers
38 divided by 1558 and please show your work
Answers
38/1558
The answer is 41.78941
38/1588
-152
68
- 38
300
- 266
340
- 304
360
- 342
180
- 152
38
- 38
0
The answer is 41.78941
38/1588
-152
68
- 38
300
-266
340
-304
360
-342
180
-152
38
-38
0
China has a population of approximately 1,322,000,000 people. Express this number in scientific notation. A) 1.322 x 109 B) 1.322 x 10-9 C) 1.322 x 10−8 D) 13.22 x 108
Answers
Whats the simple interest of $400 after 5 years at a 3% annual rate?
Answers
The graph of g(x) is a parabola with a vertex at (0, 2).
Which statement is true?
Neither function is an even function.
Only the function g(x) is an even function.
Both functions are even functions.
Only the function f(x) is an even function.
Thank you!
Answers
Now analyze the statements.
Neither function is an even function ---> FALSE because the fact that the function g(x) has vertex (0,2) means that the symmetry axis of the parabole is the y-axis, so you know that g(x) = g(-x) which is the definition of an even function.
Only the function g(x) is an even function ---> TRUE: I already explained you why you can tell that g(x) is even. Now you just mut observe the graph of f(x) to realize that f(x) is not equal to f(-x) which means that it is not even.
Both functions are even functions ---> FALSE as we stated above f(x0 is not even.
Only the function f(x) is an even function ---> FALSE as we stated above.
What is the debt-to-credit ratio of the Handy Hardware Credit Card?
Answers
EX: $1500+$1000+$500=$3000
step 2: add the amount of your creedit lines on your cards
EX: $6000+$3500+$2500=$12000
step 3: divide your total debt by your total credit
EX: $3000/$12000=25% or 0.25
Answer:
Debit to credit ratio is the ratio of amount of credit you are using divided by the total amount of credit you are eligible to use.
Step-by-step explanation:
Consider that you have a credit card issued to you by bank. Now its credit limit is $10,000. Up to now, you have spent $4000, your debit to credit ratio will become:
= (4000/10000)*100
= 40%
Now credit is the amount of money, equivalent to which, goods can be purchased with promise of future payments.
whereas, Debt is the money which is obligated to pay before services or goods are used.
So, debt to credit ratio is one of the important factors when banks issue credit cards of certain limits to their customers.