Answer:
x = 108 because of supplementary angles
Step-by-step explanation:
Solving for x:
Since x and 72 are supplemenatry angles, they'll equal to 180, so:
x + 72 = 180
x = 180 - 72
x = 108
Answer:
r = i + j + (-2/3)(3i - j)
Step-by-step explanation:
Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant
if a = i + j ; b = t(3i - j) and r = -i +s(j)
for this to be true all the vector components must be equal
summing i 's
i + 3ti = -i; then t = -2/3
j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3
so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j
Answer:
inconsistent
Step-by-step explanation:
inconsistent
Option c:
is the equation of the line
Explanation:
The equation of line EF is given by 
To determine the equation of line in slope intercept form is given by
where m is the slope.
From the above equation, the slope of the equation is 
Let us substitute the slope in the formula 
Thus, the new equation is

Also, it contains the point (0,-2)
Substituting the point in the equation
, we get,

Thus, substituting the value of c in the equation
, we have,

Thus, the equation of line parallel to the line EF in slope intercept form is 
Hence, Option c is the correct answer.
we know that
1) the product of
and
is equal to

2) Double the number
is equal to

so
3) the product of
and
added to Double the number
is equal to

therefore
the answer is
