Answer:
x < 3
Step-by-step explanation:
When you multipy an inequality by a negative, remember to switch the inequality sign!
-x > -3
(-x)(-1) > (-3)(-1)
x < 3
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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.
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(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:
theres no image u need an imgae
Step-by-step explanation:
4.
56/10= 5 r.6
for another team of ten you need 6+_=10
6+4=10
Answer:
5
Step-by-step explanation:
in math we can write as this
4(x+4)= 3(x+7)
4x + 16 = 3x + 21
4x - 3x = 21 - 16
x = 5
