Answer:
The correct answer is A. 15.2 units
Step-by-step explanation:
The segment AB is congruent to the segment BC eg AB≅BC Why?
We can prove it with the triangle congruent theorem, postulate side-side-angle
We are watching triangle ΔABO and triangle ΔCBO, they are congruent
first element side OB=OB - common side
second element side OA=OC=r - radius of the circle
third element angle ∡ABO≅∡CBO=90°
According to the postulate side-side-angle we can conclude that triangles
ΔABO≅ΔCBO (triangles are congruent)
If they are congruent all of their elements are also congruent and therefore also
side AB=BC => AB+BC=AC, which is chord => 7.6+7.6=15.2 units
AC= 15.2 units ( chord )
Good luck!!!
Answer:
The second and fourth one
Step-by-step explanation:
The open circle means more/less than or equal to and the closed circle is only more than or less than and it is greater so it goes right
Answer:
x = ± 10
Step-by-step explanation:
Given
x² - 100 = 0 ( add 100 to both sides )
x² = 100 ( take the square root of both sides )
x = ±
← note plus or minus, hence
x = ± 10
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
Answer:
$34500
Step-by-step explanation:
In order to reverse a 5% pay raise, divide by 1.05.
