n, n + 2, n + 4 - three consecutive even integers
the twice the sum of the second and third: 2[(n + 2) + (n + 4)]
twelve less than six times the first: 6n - 12
The equation:
2[(n + 2) + (n + 4)] = 6n - 12
2(n + 2 + n + 4) = 6n - 12
2(2n + 6) = 6n - 12 <em>use distributive property</em>
(2)(2n) + (2)(6) = 6n - 12
4n + 12 = 6n - 12 <em>subtract 12 from both sides</em>
4n = 6n - 24 <em>subtract 6n from both sides</em>
-2n = -24 <em>divide both sides by (-2)</em>
n = 12
n + 2 = 12 + 2 = 14
n + 4 = 12 + 4 = 16
<h3>Answer: 12, 14, 16</h3>
The area of triangle ABC is the amount of space on the triangle
The area of the triangle is 54.84 square units
<h3>How to determine the area of triangle ABC</h3>
Start by drawing the triangle (see attachment)
Next, calculate the measure of angle B using the following tangent ratio
This gives
Take the arc tan of both sides
Multiply by 2
Next, calculate the length of side AD using the following equation
This gives
The area of the triangle is then calculated as:
This gives
Hence, the area of the triangle is 54.84 square units
Read more about areas at:
brainly.com/question/24487155
Answer:
5% decrease
Step-by-step explanation:
Answer:
The price of one hot dog is $1.65
Step-by-step explanation:
8h+4c= x
c= 1.25
x= 18.20
8h + 4(1.25)= 18.20
8h + 5 = 18.20
( subtract 5 from both sides of the equation)
8h = 13.20
( divide both sides by 8 to isolate the variable)
h = 1.65
so each hot dog is 1.65
