The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
#SPJ1
Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
Well if you take 468 and divide it by 18 you get 26 that 26mpg take 754 divide it by 26 and you get 29 and that's how many gallons he used
The solutions for ‘x’ are 2 and -5
<u>Step-by-step explanation:</u>
Given equation:
Since the base on both sides as ‘12’ are the same, we can write it as
Often, the value of x is easiest to solve by 
by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.
<u>The Quadratic Formula:</u> For , the values of x which are the solutions of the equation are given by:
Where, a = 1, b = 3 and c = -10
So, the solutions for ‘x’ are
The solutions for ‘x’ are 2 and -5
