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aek02
17.07.2019 •
Mathematics
In the diagram, segment da is tangent to the circle at point a, and segment db is secant to the circle at points c and b. the rays intersect outside of the circle at point d to form ∠d, which intercepts arc ac and arc ab. if m∠d=81°, m of arc ab = (5x)°, and m of arc ac = (2x−21)°, what is the measure of arc ac? * a.73° b.64° c.78° d.81°
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Ответ:
Step One
You should have a diagram of this. My diagram looks like the one below.
Step Two
State the needed givens
D = 81
AC = 2x - 21
AB = 5x
Step Three
State the formula
1/2(Large Arc - Small Arc) = Angle meeting tangent and Secant
Step Four
Substitute and Solve
1/2(5x - (2x - 21)) = 81 Multiply by 2
(5x - (2x - 21)) = 162 Remove the brackets.
5x - 2x + 21 = 162 Combine like terms on the left
3x + 21 = 162 Subtract 21 from both sides.
3x = 162 - 21
3x = 141 Divide by 3
x = 141 / 3
x = 47
Step Five
Solve 2x - 21
2x - 21
2*47 -21
94 - 21
73 <<<<<< Answer.
Ответ:
6oz bag=$3.60
And you are trying to figure out how much would you pay for two ounces so you divide
3.60 divided by 6=0.60
So 0.60 equals one ounce so 0.60 times 2=1.20
So a 2 ounce bag will cost $1.20