Answer:
The measure of the third angle is 92°
Step-by-step explanation:
We first have to make an equation that represents this equality. To do it we simply have to add the values that give us with x and this will result in 180 °
15° + 73° + x = 180°
once we have the equation what we have to do is solve x, so we will pass all the terms that are adding to x by subtracting 180
x = 180° - 73° - 15°
now that we have cleared the x we only have to perform the indicated operation and we will obtain the value of x
x = 92°
The measure of the third angle is 92°
Answer:
two real, unequal roots
Step-by-step explanation:
This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:
Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is
(-2)^2 - 4(1)(-8), or 4 + 32 = 36.
Because the discriminant is real and positive, we know for certain that we have two real, unequal roots
10:10
11:11
Those are 2 ratios that are correct