Answers
Answer:
Step-by-step explanation:
1) Statements Reasons
ABCD is a trapezoid Given
AD ║ BC bases of trapezoid are parallel
∠AED = ∠CEB vertically opposite angles are equal
∠EBC = ∠ADE alternate interior angles are equal and BD is transversal
∠ECB = ∠EAD alternate interior angles are equal and AC is transversal
ΔAED ~ ΔCEB ∠ECB = ∠EAD & ∠AED = ∠BEC & ∠EBC = ∠ADE
all angles are same and their shape is same, so similar
2) hope you can write 2nd one as above two column proof
T is the mid point of QR
U is the mid point of QS
V is the mid point of RS
Definition: The segment of line joining the middle points of two sides of a triangle is called middle segment.
Inference: A middle segment of a triangle is parallel to the third side and its lengths is half the third side's.
so here TU ║ RV and TU = RV
UV ║ TR and UV = TR
so TUVR becomes a parallelogram
∠TUV = ∠TRV --------> condition 1
same goes with parallelogram TQUV
∠TQU = ∠UVT ----------> condition 2
same goes with parallelogram TUSV
∠UTV = ∠USV ------------> condition 3
from the above 3 conditions we can say
ΔQRS ~ ΔVUT
3) see the below figure for graph
in both triangles ∠B is common
AC and TS are parallel lines
BC and BA are transversals
∠C ∠S are equal --> corresponding angles
∠A ∠T are equal ---> corresponding angles
so ΔABC & ΔTBS are similar
Related Questions
Write a recursive formula for the explicit formula
A(n) = -1 + (n-1)(-2)
Answers
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term
Given the explicit formula
A(n) = - 1 + (n - 1)(- 2)
This is an arithmetic sequence with explicit formula
A(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
For the given explicit formula, then
a₁ = - 1 and d = - 2
The recursive formula is then
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1
if 8 boxes contain 480 pins how many pin will there be in 3 boxes
Answers
Answer:
180
Step-by-step explanation:
Will took a nap for 2 hours and 40 minutes. If he woke up at 5:05 what time was it when he started his nap
Answers
2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.
answer: 2:15
explaination :
5) Which table does NOT represent a function?
Answers
Answer: D does not represent a function.
Step-by-step explanation: I hope this helps you out.
Please help me answer this ASAP
Answers
Answer:
1.15x - 0.7x
Step-by-step explanation:
You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.
Which type of function best models the relationship between the number of days and the inventory remaining?
Answers
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
What is linear function?
A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.
According to the given equation
We have a graph which shows the remaining inventory.
In which x represents the number of days and y represents the inventory remaining.
Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.
Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.
Substitute y = 30 and x = 14 in y = mx + b
⇒ [tex]30 = m(14) + b...(i)[/tex]
Similarly,
substitute y =65 and x =2 in y = mx + b
⇒[tex]65 = 2m + b..(ii)[/tex]
From equation (i) and (ii)
[tex]m = \frac{-35}{12}[/tex]
and [tex]\frac{50}{3}[/tex]
Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]
Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
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Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.
Answers
Answer:
30 +12.5v ≥ 125v ≥ 7.6Step-by-step explanation:
Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...
(reward points) + (visit points)×(number of visits)
30 +12.5v ≥ 125 . . . . . the inequality
__
12.5v ≥ 95 . . . . . . . subtract 30
v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality
Aaliyah will need to make 8 visits to earn her first free ticket.
Jenna wants to deposit £1300 in a bank for 1 year.The Independent bank will pay her £2 per month.The Jubilee Bank will pay her interest at 3% per annum.Which Bank should Jenna choose? What do I do help
Answers
what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles
Answers
Answer:
3/5
Step-by-step explanation:
does anyone know how to do this..?
Answers
Answer:
a. x=29, b. x=62
Step-by-step explanation:
a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29
b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62
i can't see all of 2 so i can't help you with that one sorry
HELP PLZ ︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎
Answers
ok done. Thank to me :>
Write equations for the horizontal and vertical lines passing through the point (-4,2)
Answers
Answer:
y=2
x=-4
hope this helps!
There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.
Answers
Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
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Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?
Answers
Answer:
Betty is 15.
Mike is 5.
Step-by-step explanation:
We can let Betty's age be b and Mike's age be m.
Since Betty's age is 3 times of Mike, then
[tex]b=3m[/tex]
In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.
Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].
We know that [tex]b=3m[/tex], so we can substitute that:
[tex]3m+5=2(m+5)[/tex]
Expand:
[tex]3m+5=2m+10[/tex]
Subtract 5 from both sides:
[tex]3m+5-5=2m+10-5[/tex]
[tex]3m=2m+5[/tex]
Subtract 2m from both sides:
[tex]3m-2m=2m+5-2m[/tex]
[tex]m=5[/tex].
Mike is 5 years old.
Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]
Just don’t understand the question to get the answer
Answers
Answer:
not sure if u saw the comment but
7 and 8 are congruent, and 8 is congruent to 10
that maybe the rest of the answer
Write an expression.
1 a. 49 divided by the difference of x and 2
Answers
Answer:
x + 2
--------
49
Step-by-step explanation:
that's the answer
That’s your expression
Answer using scientific notation
0,00000000023 x 140000000
830000 x 0,00000034
0,00000042 x 0,0000081
Answers
Answer:
1. 3.22 x 10^-2
2. 2.822 x 10^-1
3. 3.402 x 10^-12
Step-by-step explanation:
1. 0.00000000023 x 140000000
= 2.3 x 10^-10 x 1.4 x 10^8
= 3.22 x 10^-2
2. 830000 x 0.00000034
= 8.3 x 10^5 x 3.4 x 10^-7
= 0.2822
= 2.822 x 10^-1
3. 0.00000042 x 0.0000081
= 4.2 x 10^-7 x 8.1 x 10^-6
= 3.402 x 10^-12
how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y
Answers
Hello!
X*X*X=X times X times X = X³
Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵
Hope it helps you! :)
Let me know if you have any query or need further explanation. :)
~A determined gal
[tex]MagicalNature[/tex]
Is the first number divisible by the second? Explain.
45 by 5
Answers
Answer:
Yes
Step-by-step explanation:
45 is divisible by 5 because 45 divided by 5 is 9
¯\_(ツ)_/¯
4. Aidan wrote the interval (-5, 4) and claimed it was equivalent to the graph below. Explain what he did
wrong and correct his mistake.
Answers
−2/3x = 10y – 2 written in standard form
Answers
Answer:
-2x=30y-6
2x+30y-6=0
Step-by-step explanation:
+3 - (+7)
Can someone help pls!?
Answers
Answer:
Step-by-step explanation:
+3 - (+ 7) = 3 + (-7) = -4
Both integers have different sign. So, subtract and the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)
help pls its due tomorrow ill give brainliest
Answers
Answer: It’s C
Step-by-step explanation:
A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years
Answers
Answer:
$20,300.88
Step-by-step explanation:
First Year : 75,000x(1-23%)
Second Year: 75,000x(1-23%)x(1-23%)
=75,000x(1-23%)^2
Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)
=75,000x(1-23%)^3
x Year : 75,000x(1-23%)^x (Analogical Reasoning)
Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5
23%=0.23 1-23%=1-0.23=0.77
Therefore Fifth Year: 75000x(0.77)^5=$20300.88
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
Answers
Answer:
Check attached
Step-by-step explanation:
[] The first one you add
() -8 + 9 = 1
() -2/5 + 1/5 = -1/5
() 1/1 = 5/5, 5/5 - 1/5 = 4/5
[] The second one you subtract, the + and - become a -
() 9 - 5 = 4
() 2/5 - 3/5 = -1/5
() 4 - 1/5 = 3 4/5
() 3 * 5 = 15, 15 + 4 = 19/5
[] The third one you add
() 2 + 2 = 4
() 1/5 + 2/5 = 3/5
() 4* 5 = 20, 20 + 3 = 23/5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
How can you tell if you are finished solving a polynomial division problem?
Answers
The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.
According to the question:
We are required to determine when a polynomial division problem is finished.In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.
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Help me solve this-> g(x) = 2x + 3
g(7) =
Answers
Answer:
17
Step-by-step explanation:
it's sufficient to set x=7
g(7)=2×7+3=14+3=17
Answer:
g(7)=2.7+3=17
The amount of time operators of a popular amusement park ride spend loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes), write an inequality to describe how many cycles of the ride, at most, can be completed on a Saturday. Explain each term in your inequality.
Also how do you give a brainliest person
Answers
Answer:
200 + 3x + 5x ≤ 720
(or simplified, 200 + 8x ≤ 720)
and x = 65
Step-by-step explanation:
x represents the number of rides
3 + 5 = 8
720-200 = 520
520/8 = 65
The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.
Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),
The inequality will be written as below,
200 + 3x + 5x ≤ 720
Here, x represents the number of rides
3 + 5 = 8
720-200 = 520
520/8 = 65
Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.
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what is the distance between 24 ft and 10 ft
Answers
Answer:
the distance is 14 feet. hope this helps
Please help me pretty please
Answers
Answer:
805, 835, 865, 885
Step-by-step explanation:
divided into 20 parts
900-800=100
100/20=5
each part is 5
first one is 1 part away from 800
800+5=805
second one is 7 away from 800
800+7*5=835
third one is 7 away from 900
900-7*5=865
fourth one is 3 away from 900
900-3*5=885
Answer:
Solution :Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,
= 900 - 800
= 100
Finding the value of 1 vertical line.
➝ 1 line = 100
➝ 1 line = 100/20
➝ 1 line = 5
Hence, 1 line = 5
Finding part 1 :
➝ 800 + (1 × 5)
➝ 800 + 5
➝ 805
Finding part 7 :
➝ 800 + (7 × 5)
➝ 800 + 35
➝ 835
Finding part 13 :
➝ 800 + (13 × 5)
➝ 800 + 65
➝ 865
Finding part 17 :
➝ 800 + (17 × 5)
➝ 800 + 85
➝ 885
Hence, the answer is 805, 835, 865, 885.