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
MA_775_DIABLO [31]
2 years ago
11

Find the error(s) and solve the problem correctly. Given: Prove: ∆TFS ≅ ∆PFQ

Mathematics
1 answer:
expeople1 [14]2 years ago
3 0

Answer:

Reason 3: Vertical Angles Theorem

Reason 4: ASA theorem.

You might be interested in
Simplify a polynomial: (3x–4y)²–(3x–4y)(3x+4y)
Vika [28.1K]

Step-by-step explanation:

(3x-4y)×(3x-4y-(3x+4y))

(3x-4y)×(3x-4y-3x-4y)

(3x-4y)×(-8y)

-8y×(3x-4y

8 0
3 years ago
Read 2 more answers
In order for the parallelogram to be a<br> rhombus, x = [?].<br> (5x + 25)<br> (12x + 11)
LiRa [457]

A parallelogram is also a rhombus if the diagonal is a bisector of an angle enclosed by the two adjacent sides of a parallelogram.

In our case it means,

5x+25=12x+11

7x=14\implies x=\boxed{2}

Hope this helps.

8 0
3 years ago
Suppose someone tells you that she has a triangle with sides having lengths 2.2, 4.5, and 6.7. Is this a right triangle?
laila [671]
You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle
6 0
2 years ago
Choose the equations that are equvialent. Select all that apply.
Fed [463]

Answer:a,b,c

Step-by-step explanation:

The are all equivalent

6 0
3 years ago
(a) Let R = {(a,b): a² + 3b &lt;= 12, a, b € z+} be a relation defined on z+)
grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0
2 years ago
Other questions:
  • A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower
    15·1 answer
  • Help me answer please
    13·1 answer
  • Which student factored the expression x3 - 3x + x2 - 3 correctly based on their answer below?
    6·2 answers
  • WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the follow
    8·1 answer
  • Given: -3(2x + 7) = -29 – 4x; Prove: x = 4
    14·1 answer
  • 122 x 69, please help I’m
    6·1 answer
  • The inverse of a function is a function<br><br> A) Always<br> B) Sometimes<br> C) Never
    7·1 answer
  • Suppose you are playing Rock, Paper, Scissors. Once you choose what you want to throw , you roll a 6 sided die. How many options
    15·1 answer
  • Jo has 25 coins, some dimes and some nickels. The total he has is $1.65. Write and solve a
    7·1 answer
  • Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric r
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!