Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
y=3/8x-4
Move the expression to the left
y-3/8x=-4
Multiply both sides by 8
8y-3x=-32
Reorder the terms
-3x+8y=-32
Change the signs and standard form is...
3x-8y=32
Answer:
If you are asking for the equations, Company A would be 0.35x + 5 and Company B would be 0.50x + 3.50. :)
Step-by-step explanation:
Answer:
1. {5,-9}
2.{4}
3.{9/2}
Step-by-step explanation:
The equation 
can be solved as follows:
Then, the solutions of the equation are 
.
Now, if 
, we can solve the equation 
as follows:
So, the unique solution of this last equation is 
The last equation is 
, where 
. To solve this equation we can proceed as follows:
But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.
