Answer:
definition of midpoint
Reflexive property of congruence
SSS congruence postulate
CPCTC theorem
Step-by-step explanation:
Step 1: Since, M is the midpoint of the line segment QR.
definition of midpoint
Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.
Reflexive property of congruence.
Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.
SSS congruence postulate
Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.
CPCTC theorem.
Answer:
t^2 - 11t + 14
Step-by-step explanation:
Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.
First we have 9t^2 - 8t^2, or 1t^2.
Next, we have -17t + 6t, or -11t.
Last, we have the constant term 14.
The expression in simplified form is t^2 - 11t + 14.
Answer:
C
Step-by-step explanation:
We see that we can factor out 2x from the equation! So our equation becomes 2x(x-2) = 0.
Since the only way for things to multiply to equal to zero is if at least one of the numbers is 0.
So if x-2 is the 0, then x = 2.
If 2x is the 0, then x = 0.
So our answer is C. 0,2
Answer:
76
Step-by-step explanation:
arrange the data set from least to greatest:
16, 31, 55, 61, 92
Range = Highest value - Lowest value = answer
Range = 92 - 16 = 76
9514 1404 393
Answer:
D. 2/5
Step-by-step explanation:
The slope is the x-coefficient when the equation is solved for y.
2x -5y = 9 . . . . . . . given
-5y = -2x +9 . . . . . .subtract 2x
y = (-2/-5)x +9/(-5) . . . . divide by -5
y = 2/5x -9/5
The coefficient of x is 2/5. That is the slope of the line.
The slope is 2/5.
