The incomplete portion is
Angles _____1_________ are congruent by the Alternate Interior Angles Theorem. Angles _____2_________ are congruent by the Corresponding Angles Theorem.
1) <PBC and <BAD
2) <BAT and <CDA
Angles <PBC and <BAD are congruent by the Alternate Interior Angles Theorem. Angles <BAT and <CDA are congruent by the Corresponding Angles Theorem.
<PBC and <BAD are the Alternate Interior Angles of parallel lines AD and BC and traversal is AP
<BAT and <CDA are the Alternate Interior Angles of parallel lines AB and CD and traversal is TD
Dear ZaireMcfalane33, if you subtract with fraction strips the answer will be smaller, but if you add with fraction strips the answer will be bigger.
Answer:
The third score must be larger than or equal to 72, and smaller than or equal 87
Step-by-step explanation:
Let's name "x" the third quiz score for which we need to find the values to get the desired average.
Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

This inequality tells us that the score in the third quiz must be larger than or equal to 72.
Now we study the second inequality to find the other restriction on "x":

This ine
quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.
Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:
Answer:
(-6, 0)
Step-by-step explanation:
y = 4x + 24
Plug y = 0
0 = 4x + 24
4x = - 24
x = - 24/4
x = - 6
So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)
Answer:
Yes
Step-by-step explanation:
1.2 is rational