If two angles are complementary, it means that they add up to 90 degrees.
It two angles are congruent, it means that they have the same angle measure.
Let the angle measure of AXB = x
and the angle measure of BXC = y
Because the two angles are complementary i.e. they add to 90:
x + y = 90
Because the two angles are congruent i.e. they equal each other:
x = y
Plug x = y back into the first equation.
x + x = 90
x = 45
y = 45
Angles AXB and BXC are both 45 degrees.
Not all snakes are not poisonous
Step A is given
Step b is multiplication property
Step c is distributive property
Step d is substitution/ write and equivalent expression
Step e is addition property
Step f is division
Answer:
X= 3 and y=-9
Step-by-step explanation:
let
x+y=-6 be the equation..1
and 4x + y = 3 be the equation..2
now solving the two equations simultaneously using substitution method
- make x the subject in equation 1. thus the equation turns to x=-6-y when you make x the subject
- substitute x= -6-y into equation 2. Thus the equation 2 then becomes 4(-6-y)+y=3
- simplifying it.. -24-4y+y=3 furthermore ,-24-3y =3 .
solving for y in the relation (-24-3y)=3 . group like terms hence the equation changes to -24-3=3y
-27=3y. divide through by 3
as -27/3=3y/3 to obtain
-9=y.
therefore the value for y is -9
put the y value in either of the two equations to obtain x value
substituting it into equation 1
where x+y =-6
put the y value at the position of y to obtain x-9=-6
x=-6+9
x=3
therefore the value for x and y are 3 and -9 respectively.
Let a, b and c be 3 numbers whose Greatest Common Factor is 13.
This means that all a, b, and c are multiples of 13, and the three of them have no other common factor (except1)
So we can construct a, b and c as follows:
a=13*2*3, b=13*2*5, c = 13*7
a=78, b=130, c=91
Answer: {78, 130, 91}