In the construction shown below, AB is a radius of circle A. BC was constructed to be tangent to circle A at point B. EC was also constructed to be tangent to cirde A at point E. BC and EC intersect at point C.
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Which construction ensures that BC is tangent to circle A?
A. Construction of the perpendicular line through point D of AC.
B. Construction of the perpendicular bisector of AC.
C. Construction of a perpendicular line to AB at point B.
D. Construction of a line bisector of AC.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

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).

well since the real answer is 8.9 i guess the estimation would be 9

-3n+2+5n-7=

2n+2-7=

2n-5 (d)