Answer:
m is -12/7 and b is -64/7
Step-by-step explanation:
Use rise over run (change in y / change in x) to find the slope, m:
(-4 - 8) / (-3 + 10)
= -12/7
So, m is -12/7.
Plug in this value and a point into y = mx + b, then solve for b:
y = mx + b
-4 = -12/7(-3) + b
-4 = 36/7 + b
-64/7 = b
So, m is -12/7 and b is -64/7
Answer:
c) -6
Step-by-step explanation:
50 + 90 + (x+46) = 180 (angle sum property)
186 + x = 180
x = 180 - 186 = -6
I hope im right!!
Answer:
2
Step-by-step explanation:
Vertical angles have equal measure so:-
9x + 12 = 3x + 24
6x = 12
x = 2
Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.