Answer:
6.4285714286
Step-by-step explanation:
Answer:

Step-by-step explanation:
The given line passes through the points;

and

Let us find the slope using;



The equation is given by;

We substitute the values into the formula to obtain;



There the equation of the line is

Answer:
a. (1,2), b. (1, 0)
Step-by-step explanation:
a.

b.

Answer:
<h2>x = 5/2 , x = - 4/3</h2>
Step-by-step explanation:
6x² - 7x - 20 = 0
Using method of factorization
Rewrite - 7x as a difference
That's
6x² + 8x - 15x - 20 = 0
Factor the expression
That's
2x( 3x + 4) - 5( 3x + 4) = 0
Which is
(2x - 5) (3x + 4) = 0
2x - 5 = 0
2x = 5
Divide both sides by 2
x = 5/2
3x + 4 = 0
3x = - 4
Divide both sides by 3
x = -4/3
Hope this helps you
3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that
. Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles
and
, therefore, by the CSCT these corresponding sides have to be congruent.