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Mekhanik [1.2K]
3 years ago
14

Given that two tangent lines are constructed from the shared point A outside a circle with the center O and points of tangency B

and C, what is the measure of ∠OAB if ∠OAC measures 30°?
Mathematics
2 answers:
vlabodo [156]3 years ago
8 0

Answer:

OAC =30

Step-by-step explanation:

Given that for a circle there are two tangents at points of contacts B and C meet at A

The centre of the circle is O.

By tangents theorem for circles, OAB and OAC are congruent

Hence angle OAB = angle OAC

Angle OAB is given to be 30 degrees

Hence angle OAC is equal to 30 degrees

ololo11 [35]3 years ago
5 0
∠OAB = ∠OAC

∠OAB = 30°
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Find four consecutive multiples of 3 such that the product of the first, third, and fourth is 1080
Dovator [93]

Answer:

<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

Step-by-step explanation:

Let's find the factors of 1,080, as follows:

1,080 Dividing by 2 (1,080/2)

540 Dividing by 2 (540/2)

270 Dividing by 2 (270/2)

135 Dividing by 3 (135/3)

45 Dividing by 3 (45/3)

15 Dividing by 3 (15/3)

5 Dividing by 5 (5/5)

1

In consequence, we have:

5 * 3 * 3 * 3 * 2 * 2 * 2

Let's find out what multiples of 3 there are:

5 * 3 = 15 is a multiple of 3,

And 3 * 3 * 2 * 2 * 2 is remaining.

3 * 2 = 6 is also a multiple of 3,

And 3 * 2 * 2 is remaining

3 * 2 * 2 = 12 is also a multiple of 3.

<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

7 0
3 years ago
3(6x+2)&lt;9 solve the inequality
vladimir1956 [14]

3(6x+2) <9

Use distributive property:

18x + 6 < 9

Subtract 6 from both sides

18x < 3

Divide both sides by 18

X < 3/18

Simplify:

X < 1/6

7 0
2 years ago
Callie brushes her teeth three times each day. She leaves the water running. Is it reasonable to say that she uses 2 cups of wat
Dmitriy789 [7]

Answer: She uses more than 2 cups of water per day.

Step-by-step explanation:

It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups

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3 years ago
What is the growth factor of the following example? Assume time is measured in the units given.
podryga [215]

The city is expotentially increasing in regards to population because Candice inhabits the area.

4 0
3 years ago
Read 2 more answers
I don’t know it can someone help me
tatiyna

Answer:

23

Step-by-step explanation:

supplementary angles: 180-85 = 95

95 = 5x-20 ( i forgot the name of the rule, something relating to same side interior angles i think)

115 = 5x

23= x

hope that helped

5 0
3 years ago
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