Answer:
A. <T=17, RS= 10
Step-by-step explanation:
These triangles are congruent by AAS congruency. This means that RS and UV will have the same measure and so will <Q and <T. Simply use that info with the measurements given.
Solving for <T:
8y-44 = 5y+7
3y = 51
y = 17
Solving for RS:
7x-2 = 5x+18
2x = 20
x = 10
Answer:
(19, 28)
Step-by-step explanation:
Step-by-step explanation:
To determine distances, we need to use this formula: 
To apply that formula we need to use the coordinates of point, but in this case will be calculated generally, due to the lack of specific values.
So, Point A have the coordinates 
Let's call Point P the one that's on the x-axis, its coordinates are 
Applying the formula, the distance between this two points will be:

To find an opposite and equidistant point, we only need to use opposite values. So, let's call Point B, the opposite point, its coordinates will be:

And the distance will be the same, because squared values will always results positive.
Answer:
-3
Step-by-step explanation:
The fastest way to solve this problem is to multiply each side of the given equation by in order to get rid of the fraction. After you do this you should have:
Then multiply
and
using FOIL:

Then reduce on the right side of the equation:

Because the coefficients of the
term have to be equal on both sides of the equation, reduce from
to
by dividing both sides by
.