Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem
Answer: First option 13
Solution
If ABCD is a rhombus, the diagonals must be perpendicular, then the angle (5x+25)° must be a right angle (90°):
(5x+25)°=90°
5x+25=90
Solving for x: Subtracting 25 both sides of the equation:
5x+25-25=90-25
Subtracting:
5x=65
Dividing both sides of the equation by 5:
5x/5=65/5
Dividing:
x=13
Answer: The value of x must be 13
The markup price is $9.24. - $15.40 x 60% = $9.24
Answer:
what are you saying
Step-by-step explanation:
