First one
remember that all triangles internal angles (the 3 at the vertices) add to 180
we want BCD
we know BAD already
and ABC is a right angle
the measure of BDA is just there to throw us off
so
all adds to 180
BAD+ABC+BCD=180
59+90+BCD=180
149+BCD=180
minus 149 both sides
BCD=31
BCD=31 degrees
2nd problem
all angles add to 180 degrees
so
CAB+ABC+BCA=180
6x+147+2x+78+126+x=180
6x+2x+x+147+78+126=180
9x+351=180
minus 251 both sides
9x=-171
divide both sides by 9
x=-19
x=-19 degrees
The frequency of the periodic function is given by: 0.0796.
<h3>What are the period and the frequency of a function?</h3>
- The period of a function is given by the <u>distance between it's repetitions</u>.
- The frequency of a function is found <u>dividing one by the period</u>.
From the graph, we have that the period is of 4pi hours, hence the frequency is:
f = 1/4pi = 0.0796.
More can be learned about periodic functions at brainly.com/question/27894133
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You have 1 out of 5 chances to get a A in the spinner
<span>You have a 1 out of 6 chances to get a 4 </span>
<span>1/5 times (x) 1/6 = 1/30</span>
