Answer:
The first statement is incorrect. They have to be complementary.
Step-by-step explanation:
You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.
You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.
The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.
Answer:
Step-by-step explanation:
The third side is thus, less than 14 + 11 = 25 cm. The side cannot be less than the difference of the two sides. Thus, the third side has to be more than 14 - 11 = 3 cm. So, the length of the third side could be any length greater than 3 cm and less than 25 cm.
P = 3x + 2y
There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.
Point O is found in x = 0 ; y = 0 or (0,0)
Point A is found in x = 8 ; y = 0 or (8,0)
Point B is found in x = 6 ; y = 5 or (6,5)
Point C is found in x = 0 ; y = 8 or (0,8)
We will substitute x and y in the equation by its values per point.
Point A = 3(8) + 2(0) = 24 + 0 = 24
Point B = 3(6) + 2(5) = 18 + 10 = 28
Point C = 3(0) + 2(8) = 0 + 16 = 16
The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.
Answer:
x = -1/8 x (Option D)
Step-by-step explanation:
First find the slope which is rise / run = difference in y values / corresponding difference in x values
= ( 0.5 - (-0.5) / (-4 - 4)
= 1 / -8
= -1/8
Using the point-slope form of the equation of a line
y - y1 = m(x - x1), here we have m = -1/8 and (x1, y1) = ( -4, 0.5) , so:-
y - 0.5 = 1/8(x - (-4)
y - 0.5= -1/8(x + 4)
y = -1/8 x - 0.5 + 0.5
y = -1/8 x (answer)
