1) What is the value of X?

https://i.imgur.com/uyRpVxN.png - picture

**1**

**2**

**3**

**4**

2) What is the length of AB?

https://i.imgur.com/BYLvIB8.png - picture

**2**

**3**

**4**

**6**

3) What is the value of X?

https://i.imgur.com/tMwxnn6.png - picture

**4**

**4√3**

**8√3**

**16**

4) What is the value of X?

https://i.imgur.com/Wh7xwaN.png - picture

**3**

**6**

**3√2**

**6√2**

stimpay Apr 24, 2018

#1**+3 **

First one

This is an equilateral triangle....all sides are equal....so....this implies that

2x + 5 = 4x - 1 add 1 to both sides, subtract 2x from each side

6 = 2x divide both sides by 2

3 = x

Second one....again...we have an equilateral triangle...so...

5x - 4 = 3x add 4 to both sides....subtract 3x from both sides

2x = 4 divide both sides by 2

x = 2

So AB = 5(2) - 4 = 6

Third one.....this is a 30-60-90 right triangle....the hypotenuse is opposite the 90 degree angle

And the side oppposite the 30 degree angle is 1/2 of the hypotenuse

So x = (1/2) *8 = 4

Last one.....this is a 45-45-90 right triangle

The side opposite the right angle - x - is √2 times as long as either of the other two sides

So

x = √2 * 6 = 6√2

CPhill Apr 24, 2018