Answer:
The new points to the triangle will be:
Step-by-step explanation:
Because the reflection point is at 
, all x values will subtract their distances from to get their new values. The y values remain the same.
The starting values are:
Point 
is 1 unit away from , so we'll subtract 1 from 2 to get the new x value: 
, so 
.
Point 
is also 1 unit away from , so we'll subtract 1 from 2 to get the new x value: , so 
.
Point 
is 3 units away from , so we'll subtract 3 from 2 to get the new x value: 
, so 
.
D=dimes
q=quarters
d + q = 20
.10d + .25q = 3.05
d=-q + 20
.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7
d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13
Sally has 7 quarters and 13 dimes.
Hope this helps!
Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
The formula of an area of trapezoid:
We have:
Substitute:
The perimeter:
Why is important to maintain an assessment’s validity, reliability, and equity in testing?
Answer: Reliability refers to the degree to which scores from a particular test are consistent from one use of the test to the next. ... Ultimately then, validity is of paramount importance because it refers to the degree to which a resulting score can be used to make meaningful and useful inferences about the test taker
