Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. 
Part 3) Option B. 
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and
Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that
so
substitute
Part 3) Find the measure of angle 5
we know that
Solve for x
substitute the value of x
Answer:
A)
y^2-6y = 0
or, y(y-6) = 0
or, y = 0 or y = 6
B)
n^2+5n+7 = 7
or, n^2+5n+7-7 = 7-7 ( Subtracting 7 from both sides)
or, n^2+5n = 0
or, n(n+5) = 0
or, n=0 or n= -5
C)
2t^2-14t+3 = 3
or, 2t^2-14t = 0
or, 2t(t-7) = 0
or, t=0 or t=7
D)
1/3x^2+3x-4 = -4
or, 1/3x^2+3x = 0
or, 1/3x(x+9) = 0
or, x=0 or x= -9
E)
Zero is a common solution to each of the equations. This is because each of the equations had a variable outside the parenthesis with an operation of multiplication.
THANK YOU FOR READING.
Answer:
110
Step-by-step explanation:
Using pythagorean theorm
c^2 = a^2 + b^22
610^2 = 600^2 + b^2
372100 = 360000 + b^2
b^2 = 12100
b = 110
Answer:
$0.40 per minute
Step-by-step explanation:
You divide 6.40 by 16 to get 0.40.
To fact check this, I multiplied 0.40 by 16 and got 6.40.
2/7 ( k+5/8) = 2 and 2/7
2/7 (k+5/8) = 16/7 |multiply by 7
2(k+5/8) = 16 |divide by 2
k+5/8 = 8 |subtract 5/8
k=8-5/8 = 7 and 3/8 = 27/8 = 7.375
