C
alternate interior angles theorem: If a transversal intersects two parallel lines, then the alternate interior angles are congruent. thus, if the alternate interior angles are congruent, then the lines are parallel.
all the angles are congruent, so m || n and p || q.
Answer:
x=92 y=23
Step-by-step explanation:
Let them be x and y respectively
so given
x-y=69
and
x/y=4 x=4y
so we can write
x-y=69
as
4y-y=69 3y=69 y= 69/3 = 23
now y is 23
so putting in any equation will give the value of x
so
x-23=69 x=92
Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
Answer:
the number
the type
Step-by-step explanation:
M = ( (-6+4)/2, (3+-2)/2 )
M = (-1, 1/2)
