Given: SV || TU and SVX = UTX
Prove: VUTS is a parallelogram.
State the given then use
CPCTC to say all their parts match and say what specifically makes it a parallelogram.
Answers
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Step-by-step explanation:
The given figure VUTS is a parallelogram.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that,
SV ║TU
Also ΔSVX ≅ ΔUTX
Since both the triangles are congruent, corresponding sides are equal.
SV = UT
SX = UX
VX = TX
Consider two triangles ΔVUX and ΔSTX.
Already we have 2 corresponding sides of these triangles are equal from above.
So third side is also equal.
Since US is a transversal line that cuts the parallel lines VS and UT, ∠VUX = ∠TSX (alternate interior angles)
Similarly, VT is also a transversal line that cuts the parallel lines VS and UT,
∠UVX = ∠STX
So the two lines VU and ST are parallel.
Hence the figure is parallelogram since opposite sides are equal and parallel.
Learn more about Parallelogram here :
https://brainly.com/question/29147156
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Related Questions
Bryan and his parents went to dinner at their favorite restaurant. The bill came to $130. His parents left a 15% tip. How much TIP did they leave? *
Answers
Answer:
$19.50
Step-by-step explanation:
Turn the %15 into a decimal
130 x 0.15 = 19.50
They left $19.50 as their tip.
How many different positive four-digit integers can be created if the four digits 1,
3,5, and 6 must be used to create each integer?
Answers
Answer:
You have 4 digits with which to work. The digits can be placed:
1st position: 4 possible digits
2nd position 3 possible digits
3rd position 2 possible digits
4th position 1 possible digit
Total permutations equal
4 * 3 * 2 * 1
which equals
24
Step-by-step explanation:
Help! I’ll mark brainliest! Show your work.
Answers
write a real word problem that you could represent 3+ x =10
Answers
Answer:
A class has 10 science students, both of Physics and Biology.
If Biology group has 3 students, what's the number of students in the Physics group?
I REALLY NEED HELP ON THIS CORRECT ANSWER GETS BRAINLOEST
Answers
Answer:
y=mx
this is the answer y=1x
is the relation a function? why
Answers
Answer:
no its not
Step-by-step explanation:
x-11 is only supposed to have one y.
if its a funtion then x should only have one line comming out of it. if its not a finction then x has two lines coming out of it.
Answer: no because the x axis dont equal or match up with the y axis and because theres not a certain amount of numbers for it to equal to or match to.
Step-by-step explanation:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2. please give me brainliest
Help with these two they have to be Decimal or fraction form rounded all the way!!
Answers
Answer:
x=1/2 I'm not sure it may be wrong
Answer:
The question to the question provided is
[tex] \frac{1}{2} [/tex]
Find the quotient. -275/-25
Answers
Answer:
5
Step-by-step explanation:
Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c
Answers
17+7=24
a-2c
17-2(7)=3
Answer:
Step-by-step explanation:
a + c = 17 + 7 = 24.
a - 2c = 17 - 2(7) = 3.
A town's population of children increased from 376 to 421 during the past year. Which equation shows how to find the percent increase? a p=421−376376 b p=421−376421 c p=376421−376
Answers
Answer:
a. p=421−376/376
Step-by-step explanation:
Computation for Which equation shows how to find the percent increase
Percentage increase=421-376/376*100
Percentage increase=45/376*100
Percentage increase=11.968%
Percentage increase=11.97% (Approximately)
Based on the above calculation The equation that will shows how to find the percent increase of the town's population of children from 376-421 during the past year will be:p=421-376/376
PLEASE HELP I NEED AND ANSWER
Flying against the wind, an airplane travels 5040 kilometers in 6 hours. Flying with the wind, the same plane travels 6000 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
Answer:
The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.
Step-by-step explanation:
Given that:
An airplane travels 5040 kilometers in 6 hours against the wind
An airplane travels 6000 kilometers in 5 hours with the wind
Let,
x be the speed of plane in still air
y be the rate of wind
Combined speed against the wind = x - y
Combined speed with the wind = x+y
Speed = [tex]\frac{Distance}{Time}[/tex]
x-y= [tex]\frac{5040}{6} = 840[/tex]
x - y = 840 Eqn 1
x + y = [tex]\frac{6000}{5} = 1200[/tex] Eqn 2
Adding Eqn 1 and 2
x+y+x-y=1200+840
2x=2040
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{2040}{x}\\x=1020[/tex]
Putting x=1020 in Eqn 2
1020+y=1200
y=1200-1020
y=180
Hence,
The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.
Substitute the known value of x into y=4x+20. Then solve for y entering the equation in simplest form
Answers
Answer:
[tex]y=24,[/tex] when [tex]x=1[/tex].
Step-by-step explanation:
Given: [tex]y=4x+20[/tex]
To find: Value of [tex]y[/tex], substituting the known value of [tex]x[/tex]
We have,
[tex]y=4x+20 ...(i)[/tex]
Putting [tex]x=1[/tex] in equation [tex](i)[/tex], we get
[tex]y=4(1)+20[/tex]
[tex]\implies y=4+20[/tex]
[tex]\implies y=24[/tex]
Hence, the value of [tex]y[/tex] is [tex]24[/tex], when the value of [tex]x[/tex] is [tex]1[/tex].
A line has this equation: -5y = 4x+40
Write an equation for the perpendicular line that goes through (8,5).
Answers
Answer:
The equation of the second line is;
y = 4x - 27
Step-by-step explanation:
Firstly, we need the slope of the first line
To get the slope, we need the equation in the general form of ;
y = mx + c
where m is the slope of the line
Thus, we have in this case, to divide through by -5
That will give the slope value as -5/20 = -1/4
If two lines are perpendicular, the product of their slopes is -1
The slope of the line we want to calculate, let us call it m
m * -1/4 = -1
-m = -4
m = 4
So we want to write the equation of a line with slope 4 and point (8,5)
We proceed to use the point-slope form
That will be;
y-y1 = m(x-x1)
y-5 = 4(x-8)
y-5 = 4x-32
y = 4x -32 + 5
y = 4x -27
Sandra says that 1.475% as a decimal is 147.5 but John says 1.475% as a decimal is .01475. Who is correct? 5 points
Answers
Answer:
John
Step-by-step explanation:
To get from a percent to a decimal, you move the decimal point two places to the left, so John is correct.
A diagram of a swimming pool is below. The width of the pool is 25 m, find the length of the actual pool?
I don't understand this at all. It looks so easy but I cannot grasp it. Please provide an explanation
Answers
Answer:50
Step-by-step explanation:
7.5 x 2 = 15
25 x 2 = 50
Mrs. Rawlings is preparing to celebrate National Cone Appreciation Day! She will paint 100 cones like the one shown to the right. Approximately how much paint will she need? (Use 3.14 for n.)
Answers
Answer:
Step-by-step explanation:
8+5+9.4= 22.4
100n+22.4
100(3.14)+22.4= 336.4
I gave you this to help you, if you know how much is in each paint cans, than divide that number with 336.4, and you'll get your answer.
The ratio of cats to dogs at April's Animal Shelter was 3 to 2. How many dogs were in the shleter if there were a total of 75 cats and dogs in the
shelter?
A 30
B 25
c 50
d 150
Answers
Answer:
A:30
Step-by-step explanation:
because 3+2(the ratio) =5
75(the total number or both) divide by 5
so 1 ratio=15
15 x 2(the ratio of dogs)
=30
Polygon ABCD has the following vertices:
A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)
Calculate the area of the polygon.
28 units squared
38.5 units squared
40.5 units squared
49 units squared
Answers
9514 1404 393
Answer:
(b) 38.5
Step-by-step explanation:
The polygon is a trapezoid with bases 4 and 7 and height 7. Its area is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(4 +7)(7) = 77/2
A = 38.5 . . . . square units
Give the other person brainiest pls because they were right I know because I took test and they helped me :)
quadratic equations
m^2-12=m
Answers
Step-by-step explanation:
m² -12 = m
m² = m + 12
m = [tex]\sqrt{m + 12\\}[/tex]
ok i can drag what goes in what
Answers
Answer:
The equation should look like c=1.59 times a
Step-by-step explanation:
if it cost 1.59 dollars per pound of apple it is going to be a multiplication problem so then you fill in the blanks, A standing for per pound of apples and C representing total cost
Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Phillip estimate the tip on a $36.00 bill correctly?
A.
$3.60 + $3.60 = $7.20
B.
$3.60 + $0.36 = $3.96
C.
$1.80 + $1.80 = $3.60
D.
$3.60 + $1.80 = $5.40
Answers
Answer: 36.00
Step-by-step explanation:
Divide 36.00 by 10 and You Simply Get 3.60
Hope this Helps :DD
What’s 2 1/4 + 3 2/3
Answers
Answer:
The correct answer is 5 11/12
Step-by-step explanation:
HAVE A GOOD DAY!
6 m 11m in area
10yrd 8yd in area
5in 7in in area
4cm 6cm 10cm in area
Please I need answers for all of them
Answers
Those are the answers if I’m correct
4. The average speed of an Express train between New Delhi and Kota is 97 km/hr. The train
takes 4 hr to travel from New Delhi to Kota. Find the distance between New Delhi and Kota.
Answers
Answer:
Distance between New Delhi and Kota = 388 kilometers
Step-by-step explanation:
Given that:
Average speed of express train = 97 kilometer per hour
Time taken to travel = 4 hours
Distance between New Delhi and Kota = Speed * Time
Distance = 97 * 4
Distance = 388 kilometers
Hence,
Distance between New Delhi and Kota = 388 kilometers
The school store received a shipment of notebooks and pens. There are 10 cartons of notebooks and 25 boxes of pens. Each carton of notebooks costs $72 and contains 48 notebooks. Each box of pens costs $12.60 and contains 36 pens. The school wants to make a 10% profit.
question What is the cost of one notebook? What amount must be added on to the notebook's cost to account for a 10% markup? What will be the retail price (price the school is charging) for the notebook?
Answers
Answer:
cost of one notebook: 72/48 = $1.50
10% mark up = $1.50 x 0.10 = 0.15 cents
retail price = $1.65
Step-by-step explanation:
3 less than 8 times w
Answers
Answer:
8w-3
Step-by-step explanation:
Is that what you were looking for?
pls help with this :(
Answers
Answer:
is it 8x
i'm not sure
Step-by-step explanation:
Answer:
( E ) = 18x
Step-by-step explanation:
According to question,
2/3 ( E ) = 12x [ Here ( E ) is the expression]
2 ( E ) = 36x
( E ) = 36/2 x
( E ) = 18x
Hope it helps.......
Can anyone help me solve this is a worksheet extra credit
Answers
Answer:
11. Coordinates of the meeting point 18,24
12.equation for line R, y= -2x/5-4
equation for line E,y=2x/5+12
13. 1,3, 4,5,10,13 ,15
14.70°
15. AC= 47
Step-by-step explanation:
I'm pretty sure about the answers. Please consider making brainliest. Thank you
Mr bell bought a freezer in a sale where all goods were 20% off. what was the original price of the freezer?
Answers
Answer:
First, you did not exactly state what the original price was or maybe that's how the question is worded, but in this scenario the original price of the freezer would be x because they did not tell us.
Step-by-step explanation:
A 20 percent discount is 0.20 in decimal format. For example if the original price was $20, then you would multiply 0.2 by $20 to get $4.00. In this question i would say the original price would be x, so then it would be 0.2x.
Hope this helps:)
Ashley charges 25.00 pesos for every page for
encoding. In addition, she charges 5 pesos per
page of printed output. How many page/s
did she encode
and print if she receives
amount of 960.00 pesos?
a. 10
c. 30
b. 20
d. 32
Answers
first add 25 and 5 and divide 960 by 30