Answer:
x = 50°
Step-by-step explanation:
Angles in a quadrilateral add to 360°
First work out the interior missing angle
360° - ( 40° + 80° + 110° ) = 130°
Angles on a straight line add to 180° so
180° - 130° = 50°
Answer:
(x +3)^2 +(y -4)^2 = 52
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...
(x +3)^2 +(y -4)^2 = r^2
Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:
(1 +3)^2 +(-2 -4)^2 = r^2
16 +36 = r^2 = 52
The equation of the circle is ...
(x +3)^2 +(y -4)^2 = 52
Answer:
13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25
Answer:49
Step-by-step explanation:
ok
Answer:
101.5yd by 101.5yd size of wood
Step-by-step explanation:
Divide the ramp into its constituent shapes:
2 triangles( 3yd by 4.5yd by 5yd)
1st rectangle (the back) 3yd by 11yd
2nd rectangle (the front) 11yd by 5yd
- Find the area of the shapes
Area of triangles = 2 * (1/2*b*h) = 2 * (0.5 * 4.5 * 3) = 2 * 6.75 yd² = 13.5yd²
Area of back rectangle= 3 * 11 = 33yd²
Area of front rectangle = 11 * 5 = 55yd²
- Find the sum of the areas
13.5yd² + 33yd² + 55yd² = 101.5yd²
