Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
Answer:
Answer:The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.
Step-by-step explanation:
Answer:
The correct answer is: by <em>rule</em> ASA rule of congruence.
Step-by-step explanation:
First let us prove by rule ASA (rule of congruence).
<u>Congruent side:</u>
(Given)
<u>Congruent angles:</u>
1. By definition of perpendicular,
Also,
Therefore,
or you can say,
2. Common angle between is
In a nutshell, in ,
(Angle)
(Side)
(Angle)
are congruent to the following angle, side and angle of :
(Angle)
(Side)
(Angle)
Therefore, by ASA rule of congruence, we can say .
<em>Since both triangles are congruent</em>, the sides and are also congruent.