I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is 
times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1:
:2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9 because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is : 2
We can create an equation to solve for x using these ratios:
= 
Cross multiply:
2x = 9
x = 
Option C
Answer:
James answered 51 questions correctly.
Step-by-step explanation:
1) Slide the decimal 2 places to the left in the percentage (85% = .85)
2) Multiply total by new decimal (60 x .85)
3) All done! (51)
Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.
Answer:
The vertex is: 
Step-by-step explanation:
First solve the equation for the variable y
Add 4y on both sides of the equation
Notice that now the equation has the general form of a parabola
In this case
Add 
and subtract on the right side of the equation
Factor the expression that is inside the parentheses
Divide both sides of the equality between 4
For an equation of the form
the vertex is: (h, k)
In this case
the vertex is:
Answer:
53
Step-by-step explanation:
complementary angle meaning it needs to have the whole sum of 90 degree.
90-37=53
F(x)= √3x + 1
a=8
8 √3 + 1 <—Exact form
14.85649646 <—In decimal form
