Answer:
14x=4-21y
Step-by-step explanation:
Step-by-step explanation:
a. given (alternate interior angles)
b. vertically opposite angles( are equal)
c. congruent angles
The Third Angle Theorem states that if two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles must also congruent.
d. given (congruent pairs of sides of triangles)
e. AAA or SSS congruence.
The complete inequality is -2 < x < 35
<h3>How to determine the range of value of x?</h3>
The figure attached to the question is the given parameter
From the figure, we understand that:
Side length BA and side length BD are equal.
This is represented as:
BA = BD
Because the side length AC is less than the side length CD, then it means that:
The measure of the angle ABC is less than the measure of the angle CBD
This is represented as:
∠ABC < ∠CBD
Where
ABC = x + 2
and
CBD = 37
Substitute ABC = x + 2 and CBD = 37 in the inequality expression ∠ABC < ∠CBD
So, we have:
x + 2 < 37
Subtract 2 from both sides of the inequality
x + 2 - 2 < 37 - 2
Evaluate the differences
x < 35
From the question, we have the following incomplete inequality
-2 < x < [ ]
Complete the inequality as follows:
-2 < x < 35
Hence, the complete inequality is -2 < x < 35
Read more about angles at:
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Answer:
since M lies between point A and B , we came to know that,
M(4,6) =(x,y)
A(-2,-1)=(x1 ,y1)
B( _, _ )=(x2,y2)
Now using mid point formula,
x=x1×x2÷2 y=y1+y2÷2
so, point B is (10,13)
Answer:
−14x^3+29x^2−27x−18
Step-by-step explanation: