Since it is a parallelogram cente at point T,
then the measure of PT is equal to the measure of TR. And the measure of QT is
equal to the measure of TS.
PT = TR
a + 4 = 2a
4 = 2a -a
a = 4
PT = TR = 8 units
QT = TS
b = 2b -3
3 = 2b – b
b = 3
<span>QT = TS = 3 units</span>
Answer:
Y=4 X= -6 or (-6,4)
Step-by-step explanation:
Okay so
3x+10y=22
-3x-8y=-14
- basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
- 10y minus 8y gives us 2y.
- 22 minus 14 gives us 8
3x+10y=22
<u>-3x-8y=-14</u>
0+2y=8
Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.
y= 4
Now we can fill in. You can pick any equation for this but I'm going to chose the first one.
3x+10y=22
we can fill in 4 for y
3x+10(4)=22
3x+40=22
Next we are going to subtract 40 on both sides.
3x+40=22
-40 -40
3x= -18
Next, we're going to divide -18 by 3.

The 3s cancel out leaving us x. -18 divided by 3 is -6.
x= -6
Hope this helped!! :)
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.

Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of
.
Upon substituting our given values in z-score formula, we will get:





Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
Answer:
A.
Step-by-step explanation: