Answer:
7 inch
Step-by-step explanation:
AC= BC+AB
= (BD-CD) + radius of B
= (radius of B-radius of D) + 4.5
=(4.5-2) +4.5
=2.5+ 4.5
=7 inch
I hope this is correct.
Answer: 2
Step-by-step explanation:
The mode is the number that is shown the most.
Answer:
16c² + 32cd + 16d²
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients. For example, 
is an example of a cubic polynomial.
Area of a square = side length x side length
Therefore, given the side length of this square is 4c + 4d, then the area can be expressed as:
area = (4c + 4d) x (4c x 4d) = (4c + 4d)²
If we expand the brackets we get:
area = 16c² + 32cd + 16d²
Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
The required equation is
,
Answer: 70
=====================================
Explanation:
The exterior angles (2x+12) and (2x) have corresponding interior angles 180-(2x+12) and 180-(2x)
Triangle ABC has the following interior angles
A = 112
B = 180 - 2x
C = 180 - (2x+12) = 180-2x-12 = 168-2x
Add up the interior angles for A,B,C and set the result equal to 180. Solve for x
A+B+C = 180
(112)+(180-2x)+(168-2x) = 180
112+180-2x+168-2x = 180
460-4x = 180
-4x = 180-460
-4x = -280
x = -280/(-4)
x = 70
---------------
Side note:
2x = 2*70 = 140 is the exterior angle for B, so 180-140 = 40 is the interior angle for angle B
2x+12 = 2*70+12 = 152 is the exterior angle for C, so 180 - 152 = 28 is the interior angle for C
Add up the interior angles to find that A+B+C = 112+40+28 = 180, so this helps confirm we have the right x value.
