•Simplified Square Root for √84 is 2√21
√4*21=√84.
Now extract and take out the square root √4 * √21. Root of √4=2 which results into 2√21
•Determine the square root.
The square root of eighty-four √84 = 9.16515138991
Answer:
9 4/7 + 8 5/6 = 773/
42
= 18 17/
42
= 18.4047619
Step-by-step explanation:
<h2><u>ISOSCELES TRIANGLE</u></h2>
An isosceles triangle is a triangle that has two sides of equal length. In this exercise, we see small lines on two of the sides. This means that those sides are equal.
Equalize the expressions:
<h3>6x - 23 = 4x + 9</h3>
Add 23 to both sides of the equation:
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Substract 4x from both sides:
6x - 4x = 4x - 4x + 32
2x = 32
Finally, divide both sides by 2:
![\mathsf{\dfrac{2x}{2} = \dfrac{32}{2}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cdfrac%7B2x%7D%7B2%7D%20%3D%20%5Cdfrac%7B32%7D%7B2%7D%7D)
![\large{\boxed{\mathsf{x = 16}}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cmathsf%7Bx%20%3D%2016%7D%7D%7D)
Now, let's find the measures of the angles:
- (6x - 23)° = 6(16) - 23 = 96 - 23 = 73°
- (4x + 9)° = 4(16) + 9 = 64 + 9 = 73°
Remember: The sum of the three angles of any triangle is equal to 180 degrees. Let's find the measure of the angle Y:
73° + 73° + Y = 180°
146° + Y = 180°
Y = 180° - 146°
Y = 34°
<u></u>
<h3><u>
Answer</u>
. m∠Y = 34°</h3>