Ah yes, good ol’ Pythagorean’s theorem.
The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.
The legs are opposite of the acute angles
Formula: a^2 + b^2 = c^2
2:
Let’s plug in some values
(6)^2 + (3)^2 = c^2
C = 6.7
The side will be 6.7 units
3)
Let’s plug in some values
(13.3)^2 = (9.7)^2 + (b)^2
(13.3)^2 - (9.7)^2 = b^2
176.89 - 94.09 = b^2
b = 9.1
The side will be 9.1 units
The given point (t, P) is (0, 1000), and the slope is given as ∆P/∆t = 30. Using the point-slope form of the equation for a line, the equation can be written as
... P = 30t + 1000
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.
The equation for the first triangle would be: 60+80+x+51= 180
Solving it we get: 191+x=180
x=-11.
The second triangle’s equation is: 90+45+52+x= 180
Solving it we get: 187+x=180
x=-7
The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.
Solving it we get: 12.2 (rounding)
x=about 12.2
For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)
Solving it we get: 11x=110
x=10.
Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
