Answer:
Line RT || Line VS ∠SRV ≅ ∠TUR - Given/Alternate Interior Angles Theorem
∠TRU ≅ ∠SVR - Corresponding Angles Theorem
ΔRTU ~ ΔVSR - AA Similarity Theorem
Step-by-step explanation:
The statement Line RT || Line VS ∠SRV ≅ ∠TUR is given. This can be explained with the Alternate Interior Angles Theorem. It states that if two parallel lines (TR and VS) are cut by a transversal (∠SRV), then the pairs of alternate interior angles are congruent.
∠TRU and ∠SVR correspond to each other, so that would be the Corresponding Angles Theorem.
That leaves ΔRTU ~ ΔVSR being that away due to the AA Similarity Theorem. It states that states that if two angles of one triangle (∠RTU, ∠URT for example) are congruent to two angles of another triangle (∠VSR, ∠RVS are the congruent angles to the two from before), then the triangles are similar.
Answer:
The conclusion is valid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
If you follow our program, you will lose weight. You are not following our program if you do not lose weight.
Here the second statement is the contrapositive of the first statement.
Let x is the number of person who does not lose weight, and this person is outside the bigger circle, this person is also outside the small circle.
Therefore, the conclusion is valid.
The required diagram is shown below:
Answer: $9.71
Step-by-step explanation: Just subtract the pizza amount (8.50) and the drink (1.79) from the $20.
Answer:
Step-by-step explanation:
Let x be the brother's weight.
Then 2x-5 is Andy's weight.
x+(2x-5)=100
3x-5=100
3x=105
