<h3>
Answer: 32</h3>
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2
Answer:
First number: 71/7
Second number: 135/7
Third number: 270/7
Step-by-step explanation:
First number = x
Second number= 2x-1
Third number= 2(2x-1)
x+(2x-1)+2(2x-1)= 68
3x-1+4x-2=68
7x-3=68
7x=71
x=71/7
You can check by plugging in the x into the equation.
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
Answer:
B
Step-by-step explanation:
I Think I Got It Right But This Is From A LONG time ago