Answer:
Measure angle B = 65 degrees AB = 34 AC = 30
Step-by-step explanation:
Triangle Sum Theorem: 180 - 90 - 25 = 90 + 25 + 65 = 180
Tangent 25 = 16/x
AB = 34
Pythagorean Theorem Equation:
![b =[]\sqrt{34^{2} - 16^{2}}= \sqrt{900}= 30](https://tex.z-dn.net/?f=b%20%3D%5B%5D%5Csqrt%7B34%5E%7B2%7D%20-%2016%5E%7B2%7D%7D%3D%20%5Csqrt%7B900%7D%3D%2030)
AC = 30
The given inequality is:

This inequality can be divided in two parts as:
a)

b)

Solving part a:

Solving part b:

Therefore, the solution to the given inequality is

and

. Combining both the ranges we get the solution:

.
In interval notation, this solution can be expressed as [1,5]
Answer:
This is a true statement.
Step-by-step explanation:
In order to find the line of symmetry, use the symmetry formula.
-b/2a
The variable a would be the coefficient of x^2 and b would be the coefficient of x.
-(4)/2(1)
-4/2
-2
Answer:
b. S = 405, D = 0
Step-by-step explanation:
We have been given that profit for a particular product is calculated using the linear equation:
. We are asked to choose the combinations of S and D that would yield a maximum profit.
To solve our given problem, we will substitute given values of S and D in the profit function one by one.
a. S = 0, D = 0



b. S = 405, D = 0




c. S = 0, D = 299




d. S = 182, D = 145




Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.
Answer:
Step-by-step explanation:
1 and 2 are linear pairs
1 and 3 are verticle
4 and 5 are adjacent