Find the LCD and then combine
Answer: 41/5 or 8.2 in decimal form
Answer:
a). x + y + 90° = 180°
b). x = 67°
y = 23°
Step-by-step explanation:
The sum of all angles in a triangle is 180°.
One of the angles in the figure is a right angle, or 90°. Therefore the sum of the three angles in the figure is:
x + y + 90 = 180
We are also told that x + 2 = 3y.
Rearranging that to isolate x gives us:
x = 3y - 2
Thake the first equation and substitute the above expression of in place of x:
x + y + 90° = 180°
(3y-2) + y + 90° = 180°
4y + 88° = 180°
4 y = 92°
y = 23°
To find angle x, use y = 23°
x = 3y - 2
x = 3*(23°) - 2
x = 67°
The sum 90° + 67° + 23° = 180°
Answer:

Step-by-step explanation:
The equation of the ellipse is

If the vertex of the ellipse is at point (-7,0), then a=7.
If the co-vertex of the elllipse is at point (0,-5), then b=5.
The equation of the ellipse is


Given:
In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,

Using Pythagoras theorem, we get



Taking square root on both sides, we get



The measure of missing side is 7.5 ft. Therefore, the correct option is D.