Answer:
The equation of the line AB is y - x -4 = 0
Step-by-step explanation:
The points are A (10,14) and B(2,6)
Now, slope of the line AB : 
or, 
= 
So, slope of the equation AB = 1
Now, by SLOPE INTERCEPT FORM:
The equation of line is given as : y - y0 = m (x-x0)
So,the equation of line AB is y - 6 = 1(x-2)
or, y - 6 -x + 2 = 0
or, y - x -4 = 0
Hence, the equation of the line AB is y - x -4 = 0
Let's solve your equation step-by-step.
2b+1=16−3b
Step 1: Simplify both sides of the equation.
2b+1=16−3b
2b+1=16+−3b
2b+1=−3b+16
Step 2: Add 3b to both sides.
2b+1+3b=−3b+16+3b
5b+1=16
Step 3: Subtract 1 from both sides.
5b+1−1=16−1
5b=15
Step 4: Divide both sides by 5.
5b/5=15/5
<em>answer: b=3</em>
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
A = B+32
B = 5C
A = 5C+32
C has d dollars so replace d for c
A = 5d+32
