Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
----> the angles of the base are equals
Find the measure of the vertex angle ABD
------> the sum of the internal angles of a triangle is equal to 180 degrees
step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is equal to 60 degrees
so
step 3
Find the measure of the angle ∠ABC
we know that
---> by addition angle postulate
substitute the values
For this case what we can do first is to take an average of the number of cars.
We have then:
P = (12 + 18 + 24) / (3)
P = 18
In other words, you can organize your cars in rows of 3 where each row will have 18 cars.
Answer:
three rows, 18 cars per row.
The first equation uses the first and second coupons. the coupon (1-y)40 will take y% off of the dress pants so the answer is 40(1-y)
180-55-80=45
so it is 45 degree because triangle sun of all the angle is 180
Answer:
The value of a+b is 4.
Step-by-step explanation:
The given function is
![\[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.\]](https://tex.z-dn.net/?f=%5C%5Bf%28x%29%20%3D%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bcl%7D%209%20-%202x%20%26%20%5Ctext%7Bif%20%7D%20x%20%5Cle%203%2C%20%5C%5C%20ax%20%2B%20b%20%26%20%5Ctext%7Bif%20%7D%20x%20%3E%203.%20%5Cend%7Barray%7D%20%5Cright.%5C%5D)
It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.
For x≤3,
For x>3,
At x=0,
Using property f(f(x))=x,
.... (1)
At x=1,
Using property f(f(x))=x,
.... (2)
Subtract equation (2) from equation (1).
Divide both sides by 2.
Substitute this value in equation (1).
The value of a is 
and value of b is 
. The value of a+b is
Therefore the value of a+b is 4.
