Step-by-step explanation:
m1=m2=m3=m5
m4=m6=m7
find m1,m2,m3 or m5
=180°- m4 or m6 or m7
find m4,m6 or m7
=180°- m1 or m2 or m3 or m5
X=-2 and y=3.
The first step we take is to substitute the value for y from the second equation into the first equation:
4x+5(3x+9)=7
This is justified by substitution. The next step is:
4x+5*3x+5*9=7
4x+15x+45=7
This is justified by the distributive property. The next step is:
19x+45=7
This is justified by addition of like terms. The next step is:
19x+45-45=7-45
19x=-38
This is justified by the subtraction property of equality. The next step is:
19x/19 = -38/19
x=-2
This is justified by the division property of equality. The next step is:
y=3(-2)+9
y=-6+9
y=3
This is justified by substitution, multiplication and addition, in that order.
Answer:
angle 1 = 83°
angle 2 = 88°
Step-by-step explanation:
angle 1 and angle on vertex B are
pair of co interior angles ( whose sum = 180° )
so, angle 1 + angle B = 180°
angle 1 = 180° - angle B
angle 1 = 180° - 97° = 83°
hence, angle 1 = 83°
but, angle 2 and exterior of vertex A forms alternate interior angle pair ,
so , angle 2 = angle A = 88°
i hope you got it ....
The valued of the expression is 1 .