Answer:
d
Step-by-step explanation:
The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is
= 
= 
( cross- multiply )
15x = 637.5 ( divide both sides by 15 )
x = 42.5 → d
<h2>
Hello!</h2>
The answer is:
Center: (1,-2)
Radius: 4 units.
<h2>
Why?</h2>
To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:
Where,
"h" and "k"are the coordinates of the center of the circle and "r" is its radius.
So, we need to complete the square for both variable "x" and "y".
The given equation is:
So, solving we have:
Now, we have that:
So,
Center: (1,-2)
Radius: 4 units.
Have a nice day!
Note: I have attached a picture for better understanding.
The answer is x=6
hope this helps!
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
