Answer:
2. RS = ST, Reason: Midpoint of a line (definition)
4. RS = XY, Reason: Transitive Property of congruence (if a=b, and b=c, a=c)
Step-by-step explanation:
A Midpoint divides a line exactly in half, due to the definition of a Midpoint. So, RS = ST, since they measure the same distance from the Midpoint. RS=XY because of the Transitive Property of Congruence. If ST = XY, and RS = ST, then RS = XY.
The answer is -6 < x < 9.
can u mark me as brainliest?
In order to solve for this question, let's assign a couple variables.
The variable 't' will represent the number of two-point questions, and the variable 's' will represent the number of six point questions.
From the given, we can already form two equations:
t + s = 36
("An exam... contains 36 questions")
2t + 6s = 148
("An exam worth 148 points... Some questions are worth 2 points, and the others are worth 6 points")
Before we begin calculating anything, we can simplify the second equation we made, since all the numbers are divisible by 2:
2t + 6s = 148
t + 3s = 74
Now let's refer back to the first equation. We can subtract both sides by 's' (you could also subtract both sides by 't', but I personally think that this will make solving the equation less difficult):
t + s = 36
t = 36 - s
This effectively gives us a value for the variable 't'. We can assign this value back into our first equation:
t + 3s = 74
(36 - s) + 3s = 74
36 + 2s = 74
2s = 38
s = 19
Input 's' into our second equation to solve for 't':
t = 36 - s
t = 36 - 19
t = 17
There are 17 two-point questions and 19 six-point questions
- T.B.
Answer:
See answer below.
Step-by-step explanation:
see answer in picture.
