If it’s a triangle then it has to equal 180
so 48+54+x=180
48+54=102
180-102=x
x=78
m=-(5/4)
From left to right, (1,3) is first and then comes (5,-2). Always remember when finding slopes without equations, the rule is RISE over RUN, to the numerator and denominator, respectively.
The y value of the second coordinates becomes negative which is unlike the y value in the first coordinates, which means our slope is downward, meaning it has a negative sign in front.
In every slope, there’s a numerator, being the rise, and a denominator, being the run.
To find the rise, we must look at the y values. Starting at 3 going to -2 has a space of 5 units, making that our numerator.
To find the run, the first x value is 1 and the second is 5, making a space of 4, which is out denominator.
With these two numbers and the negative sign, we get -(5/4) as our slope.
They are supplementary angles. They are located on a straight line, and when added together they will add up to 180 degrees.
Steps to simplify:
(2x + 3)(x - 7)
~Use FOIL to multiply
(2x * x) + (2 * -7) + (3 * x) + (3 * -7)
~Simplify
=2x² - 14x + 3x - 21
~Combine Like Terms
2x² + (-14x + 3x) - 21
~Simplify
2x² - 11x - 21 (Option 2)
Best of Luck!
Both charms are "similar".
And notice one diameter is 1, the other is 4, the diameters are on a ratio of 1:4 then, and so both figures are on a ratio of 1:4.
so, if another unit, like the circumference is at 3.14 on the small one, then the large one will have a circumference 4 times that much, because the circumferences are also on a 1:4 ratio.
