We know that :
⊕ Sum of the interior angles in a Pentagon should be equal to 540°
⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°
⇒ (5x)° = 540° - 180°
⇒ (5x)° = 360°

⇒ x° = 72°
Answer:
..
Step-by-step explanation:
Answer: 2(3x + 2y) and 6x + 4y
Step-by-step explanation:
Hi, to answer this question we have to solve the expression.
2(2x + 4y + x − 2y)
First we have to simplify the expression within the brackets.
2 (2x + x +4y -2y)
We have the first equivalent expression. Now to obtain the second expression we apply distributive property:
2 (3x) + 2 ( 2y)
In conclusion 2(3x + 2y) and 6x + 4y are equivalent expressions to 2(2x + 4y + x − 2y).
Feel free to ask for more if it´s necessary or if you did not understand something.
When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer.
Hence, the system of equations
x + 4y = 2
7x = 14
will also have a solution of (2, 0).
Answer:
<em>A = 48.81°</em>
Step-by-step explanation:
<u>Angles in a Right Triangle</u>
When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.
The tangent ratio is defined as:

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

Using the inverse tangent funcion:

Calculating:
A = 48.81°