Answer:
<6 = 117 degrees, <7 = 63 degrees
Step-by-step explanation:
- <3 and <6 are consecutive interior angles, meaning they are supplementary.
- <3 and <7 are same-side exterior angles meaning they are congruent.
Subtract 42 from 44.92 and then divide by 42. So it is 7%
Answer:
The total cost of the party is approximately $2300, hence the correct answer is option D.
Step-by-step explanation:
Given:
Number of students = 295 students
cost per student = $8.95
Discounts given by the company = $400
To find:
We need to estimate the total cost of the party.
Solution:
To find the total cost of the party we need to multiply the total number of students into the cost per student.
This can be done as follows:
=295×8.95
=2640.25
Therefore, the total cost of the party is $2640.25, but it is given that the laser tag company gave the students a discount of $400. Hence the total cost after discount is
=2640.25-400
=2240.25
Therefore, the total cost of the party is approximately $2300
Hence the correct answer is option D.
2020 + <em>N</em> ≡ 0 (mod 11)
<em>N</em> ≡ -2020 (mod 11)
Notice that 2020 = 183 • 11 + 7, so
<em>N</em> ≡ -(183 • 11 + 7) (mod 11)
<em>N</em> ≡ -7 (mod 11)
<em>N</em> ≡ 4 (mod 11)
<h2>
Answer:</h2>
The solution of the inequality is:

<h2>
Step-by-step explanation:</h2>
We are given a inequality in terms of variable x as:

Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.
We may simplify this inequality as follows:
On using the distributive property of multiplication in the left hand side of the inequality we have:

The solution is: 