Answer:
∠ BCD = 44°
Step-by-step explanation:
the secant- tangent angle BCD is half the difference of the intercepted arcs, so
∠ BCD =
(EB - BD) =
(171 - 83)° =
× 88° = 44°
Subtract ; 68 - 24 =44 so that means Sarah is 44 years old.
Answer:
7 bags
Step-by-step explanation:
We solve using Greatest Common Factor Method
We have:
14 raspberry scones and 21 strawberry scones
We find the factors of 14 and 21
The factors of 14 are: 1, 2, 7, 14
The factors of 21 are: 1, 3, 7, 21
Then the greatest common factor is 7.
Therefore, the greatest number of bags Bryson can fill is 7 bags
Answer:
x = - 5 , x = 
Step-by-step explanation:
the values of x that make f(x) zero are the zeros
to find the zeros let f(x) = 0 , that is
3x² + 13x - 10 = 0
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
the factors are + 15 and - 2
use these factors to split the x- term
3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )
3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term
(x + 5)(3x - 2) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = 
Answer:
well if you are a boy and don't like long hair then sure... but if you are a girl then don't cut... I mean I like long hairs... but it's your choice so.. ok