4 laps because a mile is 1,760 yards and the 440 laps need to be divided into 1,760 so 1,760/440 is 4 so four laps are needed to complete a mile
Answer: A
Explanation: The zeroes of f(x) are the value/s of x such that f(x) = 0. So, we need to find the values of x in the equation f(x) = 0.
Note that
f(x) = 0
⇔ x² + 3x - 10 = 0
By factoring into binomials, x² + 3x - 10 = (x + 5)(x - 2). Thus,
x² + 3x - 10 = 0
⇔ (x + 5)(x - 2) = 0
⇔ x + 5 = 0 or x - 2 = 0
⇔ x = -5 or x = 2
Hence, the zeroes of x are -5 and 2.
Answer:
Its 90
Step-by-step explanation:
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle.
Opposite angles of a Quadrilateral are Supplementary.
![\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%5Cangle%20A%20%2B%20%5Cangle%20C%20%3D%20180%C2%B0%20%5C%5C%20%20%5Ctherefore%20%5C%3A%282x%20%2B%203%29%20%5Cdegree%2B%20%282x%20%2B%201%29%20%5Cdegree%20%3D%20180%C2%B0%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%284x%20%2B%204%29%20%5Cdegree%20%3D%20180%C2%B0%20%5C%5C%20%5Ctherefore%20%5C%3A%20%284x%20%2B%204%29%20%3D%20180%20%5C%5C%20%5Ctherefore%20%5C%3A%204x%20%3D%20180%20-%204%20%5C%5C%20%5Ctherefore%20%5C%3A%204x%20%3D%20176%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B176%7D%7B4%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%3D%20%2044%20%5C%5C%20%20%5C%5C%20%20m%5Cangle%20A%20%20%3D%20%282x%20%2B%203%29%20%5Cdegree%20%5C%5C%20%20%3D%20%282%20%5Ctimes%2044%20%2B%203%29%20%5Cdegree%20%5C%5C%20%3D%20%2888%20%2B%203%29%20%5Cdegree%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20A%20%20%3D91%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20m%5Cangle%20%20C%20%3D%20%282x%20%2B%201%29%20%5Cdegree%20%5C%5C%20%20%3D%20%282%20%5Ctimes%2044%20%2B%201%29%20%5Cdegree%20%5C%5C%20%3D%20%2888%20%2B%201%29%20%5Cdegree%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20%20%20C%3D89%5Cdegree%7D%7D%20%20%5C%5C%20%20%5C%5C%20m%5Cangle%20%20D%3D%20%28x%20-%2010%29%20%5Cdegree%20%5C%5C%20%20%3D%20%2844%20-%2010%29%20%5Cdegree%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20%20D%20%3D34%5Cdegree%7D%7D%20%20%5C%5C%20%20%5C%5C%20similarly%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20%20B%20%20%3D%20146%5Cdegree%7D%7D%20%20%20%5C%5C%20%20%5C%5C%20)