Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
__
(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
x=2
Step-by-step explanation:
6^x^10 = 6^12^2 / 6^4
We know a^b^c = a^(b*c)
6^ 10x = 6^(12*2) / 6^4
6^ 10x = 6^(24) / 6^4
We know a^b / a^c = a^(b-c)
6^ 10x = 6^(24 -4)
6^ 10x = 6^(20)
Since the bases are the same, the exponents are the same
10x = 20
Divide each side by 10
10x/10 = 20/10
x=2
60÷8= 7 remainder 4
86÷6= 14 remainder 2
15÷6= 2 remainder 3
56÷2= 28
If you're diving by decimals then...
60÷8= 7.5
86÷6= 14.3 Draw a line over the number like this ___
14.3
15÷6=2.5
56÷2= 28.0 or 28.
Hope this helps!!
<h3>line m || line n</h3><h3>angle 5 and angle 8 are vertical angles</h3><h3>angle 5 is congruent to angle 8</h3><h3>angle 1 and angle 5 are corresponding angle pairs</h3><h3>angle 1 is congruent to angle 5</h3><h3>angle 1 is congruent to angle 8</h3>
