Answer:
<h3>B. m<3 = m<6 = 75degrees</h3>
Step-by-step explanation:
First you must understand that in geometry, the alternate interior angles are equal
Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6
Given that m<3 = 75 degrees
m<6 will also be 75 degrees since both angles are equal
To solve an equation for one variable, we will utilize PEMDAS ( parentheses, exponents, multiplication/division, add/subtract) but backwards. So we will first add/subtract any numbers to the other side to get the variable by itself. We will then divide/multiply any numbers to get the variable by itself.
Complete Question: Which of the following is an example of the difference of two squares?
A x² − 9
B x³ − 9
C (x + 9)²
D (x − 9)²
Answer:
A.
.
Step-by-step explanation:
An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.
Thus, difference of two squares takes the following form:
.
a² and b² are perfect squares. Expanding
will give us
.
Therefore, an example of the difference of two squares, from the given options, is
.
can be factorised as
.
From the reference of the 18 degree angle, 'h' is the opposite side and 100 is the adjacent side.
The trig ratio which uses both the opposite and adjacent sides is the tangent.
tan(18) = opp/adj = h/100
Trig equation:
tan(18) = h/100
The price of one ticket is $ 62.2
<h3><u>Solution:</u></h3>
Given that a performer expects to sell 5000 tickets for an upcoming event
They want to make a total of $ 311, 000 in sales from these tickets
<em><u>To find: price of one ticket</u></em>
Let us assume that all tickets have the same price
Let "a" be the price of one ticket
So the total sales price of $ 311, 000 is obtained from product of 5000 tickets and price of one ticket
![\text {total sales price }=5000 \times \text { price of one ticket }](https://tex.z-dn.net/?f=%5Ctext%20%7Btotal%20sales%20price%20%7D%3D5000%20%5Ctimes%20%5Ctext%20%7B%20price%20of%20one%20ticket%20%7D)
![311000 = 5000 \times a\\\\a = \frac{311000}{5000}\\\\a = 62.2](https://tex.z-dn.net/?f=311000%20%3D%205000%20%5Ctimes%20a%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B311000%7D%7B5000%7D%5C%5C%5C%5Ca%20%3D%2062.2)
Thus the price of one ticket is $ 62.2