1) The supplement of 72° is 180°-72° = 108° . (bottom // with right secant)
2) (3z + 18)° = 108° ( in a para llelogram opposite angles are equal)
Then 3z+18 = 108 and 3z° = 90° → z = 30°
3) (3y)° = 108° (vertical angles) , 3y° = 108 and y = 36°
4) 3y = x° (corresponding angles) but 3y = 108, then x = 108°
(Mind you I am calculating the ∠ x, y, and z. To find the angles of the parallelogram replace x,y and z by their respective values
Clod would get 11, because the number they both thought of was 63
Area of rectangle in the middle = 12 * 9 = 108
Area of left triangle = .5 * 2 * 9 = 9
Area of right side triangle = .5 * 5 * 9 = 22.5
Total area = 108 + 9 + 22.5 = 139.5 square inches
9 would be ur answer....because 9 is an odd number greater then 2, but it is not a prime number
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
