1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anit [1.1K]
3 years ago
13

Geometry Proofs (Parallelograms)

Mathematics
1 answer:
Reika [66]3 years ago
5 0
Since measure REU equal measure SFT, RE=FT and SF=EU then the two triangles REU et SFT are similar. 
Then we deduce that the two sides RU and ST are equal, RU=ST. 
Also, since the two triangles above are similar, then the two angles FST and RUE are equal. We deduce that the two lines RU and ST are parallel (interior opposite angles principles.)
We have two facts now:
RU = ST and RU parallel to ST, we deduce that the quadrilateral is a parallelogram. 
You might be interested in
a trapezoid an area of 7.2 square miles.one base is 1.2 miles and the other is 2.4 miles long.what is the height
Trava [24]
Area = 7.2 square miles

Base = 1.2

Second base = 2.4

Area of Trapezium = (1/2)*(Sum of Bases)*height

7.2 =  (1/2)*(2.4 + 1.2)*h

7.2 = (1/2)*3.6*h

7.2 = 1.8h

1.8h = 7.2

h = 7.2/1.8 = 4

Height = 4 miles.
5 0
3 years ago
Veronica drove 294 miles and used 12 gallons of gasoline, how many gallons of gas would it take her to drive 490 miles?
Alekssandra [29.7K]

Answer:

20

Step-by-step explanation:

u make a proportion and solve for x:

294/12 = 490/x

12 x 490 = 5880

5880/294 = 20

4 0
4 years ago
Read 2 more answers
Marge puts $800 in a bank account that earns 3% annual interest. If she leaves the money in the bank but does not add to it, how
yanalaym [24]
Multiply 800$ by telephone annual interest which is, 0.03% and you get 24$. Add 24 to the 800 and 824 is your answer.
7 0
3 years ago
A quarterback is standing in the middle of the field 60 yards from his goal line. He passes the ball to a player 12 yards to his
Nuetrik [128]
So for this you would have to use the pythagorean theorem which is α²+b²=c². The 12 yards would be a and the distance between the 60 yard line and 50 yard line which is 5 would be b and you would be trying to find out what c is. 

a²+b²=c²
12²+5²=c²
144+25=c²
169=c²
now you want to get c alone and in order to do that we would square root it and i'm sure you have learned that what you do on one side you have to do to the other so we would also square root 169
√169=√c²

13=c

the pass was 13 yards 

hope i helped :)
4 0
4 years ago
Sean's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 18 coffees in all, 9 of which were regula
erastovalidia [21]

Answer:

50% of the regular coffee's were regular

8 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose f(x) =x^2 and g (x) = 2x -3 what is the value of g (4)+f(-3)
    11·1 answer
  • A light bulb consumes 600 watt- hours per day. How many watt-hours does it consume in 5 days and 12 hours
    6·1 answer
  • Please help me I really need it
    7·2 answers
  • Punctele o, a, b, c sunt coliniare in aceasta ordine , iar segmentele oa, ab si bc au lungimile exprimate in cm , prin numere na
    15·1 answer
  • (-2x+6)-(13x-16) how do you do it
    8·2 answers
  • The sum of two numbers is 18 and their difference is 6.
    10·1 answer
  • Miranda has been offered two jobs. The pay at job A would be $750 per month plus 15% of the value of the merchandise she sells.
    12·2 answers
  • (-4,2) is a solution to the following graph. True or False?
    8·1 answer
  • What is the answer to 3(8+9x)
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20%20%5Csqrt%7B3x%7D%20%7D%7B1%20%2B%20e%5E%7B2x%7D%20%7D%20" id="TexF
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!