Answer:
True, False, False, False
Step-by-step explanation:
I'll find the lengths of all sides of the drawing before answering individual answers so that it's less confusing.
1) The question says that QR is a perpendicular bisector of TS. This means that the length of TQ and QS is the same. Also, since both triangles TRQ and SRQ share the same side RQ, and the angle between the two segments is 90 degrees, the two triangles are congruent (RTQ and RSQ) using SAS.
2) Side RT and TS will have the same length since the two triangles are congruent. (2x+1) = (4x-3) --> -2x = -4 --> x = 2. We can conclude that x = 2.
3) Now that we know that x = 2, we can find the length of side RS by replacing the x with 2. 4(2)-3 is 5, so RS = 5.
4) We can use the Pythagorean theorem to find RQ (Hypotenuse^2 = Other two sides added after being squared individually). Since the hypotenuse of triangle RSQ is RS which is 5, and one side is 4, we can input those into our equation. (5)^2 = (4)^2 + (RQ)^2. --> 25 = 16 + (RQ)^2 --> 9 = (RQ)^2 --> RQ = 3.
5) Since the two triangles RTQ and RSQ are congruent, side TQ and SQ also have the same length, since CPCTC (Corresponding parts of congruent triangles are congruent). QS is 4, so TQ will also be 4. This means that ST will be 8 (4+4). ST = 8
Now that we have all the clues, all we need to do is choose True or False.
RS = 5 is TRUE
RS = 4 is FALSE
ST = 10 is FALSE
QR = 4 is FALSE
Answer: D
Step-by-step explanation:
I've done this
Answer:
Step-by-step explanation:
P(A) = 18/22
P(B) = 10/22
P(A and B) = 8/22
P(A or B) = 18/22 * 10/22 = 0.37
Answer:
when the NUMERATOR of a fraction is equal to 0
Step-by-step explanation:
If the fraction is 0/x, the answer will always be 0 (where x is any number except 0, otherwise the answer is not defined).