Answer:

Step-by-step explanation:
Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

Now add this to the other fraction:

This can be simplified down by dividing both the numerator and denominator by 4:

Which now simplifies the original equation to:

Remove the y out of the fraction:

Now multiply both sides by 8:



Hope this helps!
Answer:
horizontal.
Step-by-step explanation:
it goes straight up
Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is

where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,

Now,
Putting, A=72,
and h=6 we get,

or, 
or, 
or, 
or, 
or, 
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.
see the distance formula to find the length of the sides...
opposite sides equal it could be a rectangle or parallelogram
all sides equal, square or rhombus
adjacent equal, kite
and then the slope is used to check angles
if the product of the 2 lines in -1 the lines are perpendicular (right angle)
the the slopes of 2 lines are the same the sides are parallel.
hope it helps