Answer:
x= 5.25
Step-by-step explanation:
You have to get x alone, so do inverse operations.
(Basically, reverse what it is)
4(x-3)=9
divide 4 by both sides to get rid of 4 on left side
9/4 = 2.25
(x-3) = 2.25
Now add 3 to both sides, to get x alone
2.25 + 3 = 5.25
x=5.25
Check work
4(5.25-3) = 9
4(2.25) = 9
9=9
Answer:
Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment
In parallelogram ABCD, AC is a diagonal.
Given:
and
As, we know that opposite angles in parallelogram are equal.
therefore,

Now, in ΔADC
Sum of the measures of angles in a triangle is 180 degree.

Substituting the values of
and
we have;
or

Subtract
from both sides we get

Therefore, the measure of angle CAD is
.
Step-by-step explanation:
When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point. The order is important because a point named by the ordered pair ( 5, 3 ) is not at the same location as the point named by the ordered pair ( 3, 5 ).