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°
You're going to use cross multiplication.
1 gal x 21 miles = 25miles x x
21 miles = 25x
Divide each side by 25 to get x alone
21/25 = 0.84, which is your x value.
I think it’s D I don’t know
Answer:
Step-by-step explanation:
If the corner of your porch is the origin
- 4 ft to the left, x=-4
- 5 ft in front, y=5
The tree's location is at (-4,5).
- A circular fence 3 ft in radius has its center at the tree(-4,5).
We want to determine the equation of a circle with center (-4,5) and radius 3 ft.
The equation of a circle center (h,k) with a radius of r is given as:
(h,k)=(-4,5), r=3
The equation formed by the fence therefore is:
Stack the numbers on top of each other so the decimals are lined up. Get rid of the decimals and then multiply. Put the decimal point back in directly under where it was before
