Answer:



Step-by-step explanation:
Given




Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.

Since
, then 
can then be rewritten as:


Substitute values for B and C

Open Bracket

Collect Like Terms


Divide both sides by 23

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D









Answer:
29.86 units
Step-by-step explanation:
In the triangle BIS, IT is the bisector of angle BIS,
Let BI = ST = x... (1)
By angle bisector property of a triangle, we have:
Therefore,
BI = ST =6.93
Perimeter of triangle BIS
= BI + IS + ST + BT
= 6.93 + 12 + 6.93 + 4
= 29.86 units
Answer:
An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.
Step-by-step explanation:
Answer: 13. -68
14. 36
15. -36
16. -3
17. 10
18. -4
19. 1310 ft
20. 330 ft
Step-by-step explanation:
13. 34*(-2)=-68
14. -9*(-4)=
-(9*(-4))=
-(-36)=36
15. 12*(-3)=-36
16. -12/4=-3
17. -20/(-2)=
20/2=10
18. 200/(-50)=-4
19. -1640*(-1)-(-330*(-1))=
1640-(-330*(-1))=
1640-330=1310 ft
20. -990*(-1)-(-660*(-1))=
990-(-660*(-1))=
990-660=330 ft
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 ) 
= lim ( h to 0 ) 
= lim ( h to 0 ) 
= lim( h to 0 ) 
= lim( h to 0 ) 
= lim ( h to 0 )
← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x