Answer:
.
Step-by-step explanation:
Two vectors 
and 
are parallel to one another if and only if the ratio between their corresponding components are equal:
.
Equivalently:
.
For the two vectors in this equation to be parallel to one another:
.
Solve for 
:
.
would be the only valid value of ; no other value would satisfy the equation.
In similar figures, the angle measures are the same but the side lengths are different. So in #4, x = 42. Since all the angles of a quadrilateral added up equal 360, then y is 360-90-90-42=138. For number 5, make sure you match up the sides correctly in your ratio:
. You could cross multiply to get 4x=16, and x = 4, or you could just realize that reducing 4/8 will give you 2/4 and x = 4. Going back to the idea that in similar shapes corresponding angles are the same measure, x in #6 is 63
Answer:
the number of female teachers is 616
Step-by-step explanation:
male 2: 112
Female 11 : x
now you want to find x which is the number of female teachers
multiply 11 with 112 and 2 with x
11 x 112= 2x
divide 2
1 232 = 2x/2
616 = x
Hope that help :)
Answer:
Yes it will
Step-by-step explanation:
The equation would be 50>45+(45*.08)
Once solving it, you will get 50 >48.6
(-2,3) and (10,3)
Midpoints are quite easy once you know the rule. The coordinates of the midpoint are just the average of the coordinates of the two points...
The midpoint of this lines is:
((-2+10)/2, (3+3)/2)
(8/2, 6/2)
(4, 3)
