What is the system that you have to solve to find the value of x and y?
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Answer:
7
Step-by-step explanation:
number of diagonals in a regular polygon = number of sides - 2.
A nonagon is a polygon having 9 sides.
Total number of diagonals in a regular nonagon
= 9 - 2
= 7
Answer:
(f+g)(1)
equals
3
Step-by-step explanation:
(f+g)(1) is f(1)+g(1).
f(1) means what y corresponds to x=1 so f(1)=-1.
g(1) means what y corresponds to x=1 so g(1)=4.
So (f+g)(1)=f(1)+g(1)=-1+4=3.
Answer:
y= -2/3x-2
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula
m is the slope. In this case, m is -2/3
y1 is the y coordinate of the point. In this case, it is -2
x1 is the x coordinate. In this case it is 0.
We can substitute these values into the formula
y- -2= -2/3(x-0)
Distribute -2/3
y+2 = -2/3*x + -2/3*0
y+2= -2/3x+0
Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.
y+2-2= -2/3x+0-2
y= -2/3x -2
