PLEASE HELP!! What is the missing reason in step 5?
Given: Circle O with diameter LN and inscribed angle
LMN
Prove: ZLMN is a right angle.
M
Statements
Reasons
1. circle O has diameter LN and 1. given
inscribed angle LMN
2.
LKN is a semicircle
2. diameter o divides
into 2 semicircles
3. circle O measures 360° 3. measure of a circle
is 360°
K
N
4.
m LKN = 180°
5. m LMN = 90°
6. LMN is a right angle
4. definition of
semicircle
5.?
6. definition of right
angle
HL theorem
O inscribed angle theorem
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B. Inscribed angle theorem

Step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).