Write a valid conclusion using the Law of Syllogism. If lines are parallel, they have the same slope. If two lines have the same slope, they have no points in common.

Q: Using only the given lines joining the labeled points, how many triangles are there in this figure?…

A: Here the triangles are, ∆AFD , ∆FCD, ∆FBD, ∆AEC, ∆AFE, ∆EAD, ∆ADC,∆AFC, ∆ABF, ∆BFC, ∆ABD, ∆CED, ∆BCD…

Q: 2. In 2, M, R, and T are the midpoints of AB, BC and CA, respectively, in AABC. If AB = 22 cm, BC =…

A: Given: M, R, and T are the mid points of AB¯, BC¯, and, AC¯ respectively. AB = 22cm, BC = 12cm, AC =…

Q: What is the first sentence of an indirect proof of the statement shown? 2. AABC is equilateral. 4. a…

A: In indirect proof of statement, 1st step is to write negation of given statement and with all the…

Q: In the angle addition postulate, the sum of the measures of two individual angles is greater than…

A:

Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

A: The Euler diagram is like the Venn diagram. An argument can be represented through the Euler…

Q: Determine which of the lines are parallel and which of the lines are perpendicular. Select all of…

A: Line a passes through -3,1 and 1,7Line b passes through 2,3 and 8,0Line c passes through -1,-9 and…

Q: A. Rewrite each conditional statement in if-then form. 1. A rectangle is a parallelogram with four…

A: The given question is solved below.

Q: If E is the set of all possible ways 5 people can form a line, and F is the set of all possible ways…

A: Given that E is the set of possible ways that five people can form a line. Then there are 5 ways to…

Q: How to prove that if two sides of a triangle are not equal in length, then the angles opposite are…

A: Here we must know about a isosceles triangle

Q: 3. Given the following lengths, determine if they can form a triangle. a. 7,7,12 b. 15, 25, 40 c.…

A: We have to solve

Q: An elementary school is looking into whether there is a relationship between if a student attended…

A: The examining the relationship between two variables (explanatory and response variable) are of four…

Q: Solve using the forms of inferences.   1. R ⊃ ∼T 2. ∼M ⊃ Q 3. ∼ M v R      / ∴Q v ∼ T

A: We prove the given argument by using rules of inference

Q: Determine whether or not the sentence is a statement. Paris is the capital of Arkansas.

A: Given a sentence: Paris is the capital of Arkansas.

Q: fa, b and c are the sides of a right triangle, then a² + b² = ²2²"?

A:

Q: Let A and B be distinct points. Write a proof of the following: AB n BA AB

A: To prove AB∩BA=AB¯ where AB and BA are both lines and A and B are distinct points.

Q: 3. Complete the statements. If you dont know all of them, at least answer to a few please. A) In R2…

A: The four statements that need to be filled with the exact solution.