Answer:
Step-by-step explanation:
6(x+1) = -2(3x+9)
6x+6 = -6x-18
6x+6x+6-6 = -6x+6x-18-6
12x=-24
x= -2
Step-by-step explanation:
Statement:
2-) ∠BAC = ∠EDC
<em>Reason:</em>
Angles opposite to equal sides of a triangle are equal (Alternate Interior Angles Theorem)
Statement:
3-) AC = CD
<em>Reason:</em>
CPCTC ("Corresponding Parts of Congruent Triangles are Congruent")
Statement:
4-) ∠BCA = ∠DCE
<em>Reason:</em>
Vertical Angles Theorem (states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent)
Statement:
5-) triangle ABC = triangle DEC
ASA Postulate
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)
<h2>22</h2><h3>Answer: B</h3><h3 /><h2>23</h2><h3>Answer: D</h3><h3 /><h2>24</h2><h3>Answer: A</h3><h3 /><h2>25</h2><h3>Answer: C</h3>
Answer:

Step-by-step explanation:
You could either do what I did in the above answer, or you could do this:

It does not matter how you write it, as long as you understand the concept!
I am joyous to assist you anytime.
Answer:
y = -6
Step-by-step explanation:
y=acos(bx+c)+d
d = -6 .. vertical shift
midline: y = -6
Answer:
Option D) F
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line 
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
----> inequality B
The solution of the inequality B is the shaded area below the dashed line 
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
see that attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G