Answer:
Each Angle of Decagon = 144 degrees
Step-by-step explanation:
The interior angles of a decagon add up to 1440
If they are of the same measure, then every angle will be equal to:
Each Angle of Decagon = 1440/10
Each Angle of Decagon = 144 degrees
A square with sides of 4 for perimeter and area of a rectangle with length 2 width 6<span />
Answer:
- The two solutions are:
- The next and every step are below.
Explanation:
1. 
: Given (addition property / add - 3 to both sides)
2. 
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:
5. Divide both sides by - 2 to get the next expression:
6. The last step is to extract squere root from both sides of the equality:
Answer:
(❁´◡`❁)
Step-by-step explanation:
Answer:
<em>We </em><em>know </em><em>that </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite </em><em>interior </em><em>angle</em><em>.</em>
Step-by-step explanation:
<A = 4y
< B = 3y + 6°
<BCD = 111°
Now
<BCD = <A + <B( exterior angle of a triangle is equal to the sum of two opposite interior angle)
111° = 4y + 3y + 6°
111° - 6° = 7y
105° =7y
Therefore y = 15°
The measure of <A = 4*15°= 60°
