Answer:
Step 3: The measure of angle DAB is 60°. Reason: Since DAE is a right angle, and EAB is 30 degrees, 90 - 30 is 60. (Just find the reason that is related to this statement).
Step 4: The measure of angle ABC is 130°. Reason: Same-side Interior Angles Theorem
Step-by-step explanation:
Answer:
Step-by-step explanation:



Answer:

Step-by-step explanation:
<u>Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:

It can be found by substituting g into f.
We are given the functions:
f(x) = -x + 3
g(x) = -x -1
Find

Removing parentheses:

Simplifying:

Answer:
The rational number is : 37/140
Explanation:
The first number given is three sevenths which can be written as 3/7
The second number given is one tenth which can be written as 1/10
Now, we want to get the midpoint between these two numbers. The midpoint can be calculated as follows:
midpoint = (first number + second number) / 2
midpoint = [(3/7) + (1/10)] / 2
midpoint = 37/140
Hope this helps :)
Answer:
<h3>
-2a³ + 9a² + 6ab² + 45a + 18b² </h3>
Step-by-step explanation:
(a + 3)×(−2a² + 15a + 6b²) =
= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =
= -2a³ + <u>15a²</u> + 6ab² - <u>6a²</u> + 45a + 18b² =
= -2a³ + 9a² + 6ab² + 45a + 18b²