Answer:
p=12
Step-by-step explanation:
DBC = 180
ABE = 180
ABC + DBA = 180
ABC = (5p -28)
DBA + (12p -4)
CBD = ABC + DBA = 180
-------------------------------------------------
180 = (5p - 28) + (12p + 4)
180 = 17p - 24
204 = 17p
12 = p
p = 12
------------------------------------------------------
180 = (5(12) - 28) + (12(12) +4)
180 = 60 - 28 + 144 +4
180 = 180
Given:
EFGH is a square.
To find:
The 
.
Solution:
We know that all interior angles of a square are right angles.
(Right angle)
The diagonals of square are always the angle bisectors.
FH is a diagonal of the square. So, it bisects the angle EHG.
Therefore, the measure of angle FHG is 45 degrees.
Answer:
Approximately 
.
Step-by-step explanation:
Convert the angle of this sector to radians:
.
The formula 
relates the arc length 
of a sector of angle 
(in radians) to the radius 
of this sector.
In this question, it is given that the arc length of this sector is 
. It was found that 
radians. Rearrange the equation to find the radius of this sector:
.
The perimeter of this sector would be:
.
OK the next step is to multiply 3r -1 by -7r
this gives us -21r^2 + 7r and we write it below -21r^2 + 25r
and subtract
This gives us 18r and we bring down the -6 to give
18r - 6
Finally we divide 18r by -3r to give -6 then add - 6 to the r^2 - 7r on the top
then multiply -3r - 1 by -6 to give 18r - 6
subtraction then leaves nothing.
so the answer is r^2 - 7r - 6
Answer:
x < - 7
Step-by-step explanation:
Given
3(x - 2) > 5x + 8 ← distribute parenthesis on left side
3x - 6 > 5x + 8 ( subtract 3x from both sides )
- 6 > 2x + 8 ( subtract 8 from both sides )
- 14 > 2x ( divide both sides by 2 )
- 7 > x, hence
x < - 7
