1: establish the angles, basically label one x (the small one) and the other y (the bigger one)
2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.
3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8
4. plug in the equation of the bigger one into the other equation
x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180
5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47
6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133
i hope i explained it alright
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Answer:
Left on the x-axis
Step-by-step explanation:
The opposite of the coefficient's amount of units is how much the graph will be moved.
Table comparisons
g(x)=|x+4|
x 1 -2 <u>-4</u>
y 5 2 <u>0</u>
Underlined is the x-int of the equation.
f(x)=|x|
x 1 <u>0</u> -1 3
y 1 <u>0</u> 1 3
It seems that you have missed the necessary options for us to answer this question. But anyway, here is the answer. The method <span>of gathering data that is described by the statement "these are run only when probabilities are known as fact" is called SIMULATION. Hope this answers your question.</span>
