The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.
Step-by-step explanation:
the domain is the set or interval of all valid x values.
the range is the set or interval of all valid y values.
1.
domain = {-1, 2, 5}
range = {0, 2, 3, 7}
function : no, because x = -1 has 2 different y values assigned (7 and 2). that violates the definition of a function.
2.
domain = {-3, -2, -1, 1, 4}
range = {-5, -1, 0, 2}
function : yes. every x bake has exactly one y value assigned.
3.
domain = {4, 6, 7}
range = {-1, 2, 3, 5}
function : no, because x = 4 has 2 different y values assigned (2 and 5).
4.
domain = [-3, 3) "3" is not included, hence the empty dot
range = [-4, 5]
function : yes
5.
domain = (-infinity, +infinity) "infinity" is not a possible value, so the limits are not included.
range = [-1, 2]
function : yes
6.
domain = [-2, +infinity)
range = (-infinity, +infinity)
function : no. except for x = -2 all x values have 2 different y values assigned.
Answer:
-65/36
Step-by-step explanation:
Answer:
Option f) None of these
Step-by-step explanation:
We are given the following data set:
Sample size, n = 12
Sample mean = 9.4
Sample standard deviation = 0.64
Confidence interval:
Putting the values, we get,
