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Anit [1.1K]
3 years ago
7

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 78° and minor arc CD = 124°, what i

s the measure of ∠ABD? A) 23° B) 39° C) 40° Eliminate D) 46°+-

Mathematics
2 answers:
lana [24]3 years ago
4 0
Minor arc AD is 360° -124° -78° = 158°. Then angle ABD is
  (158° -78°)/2 = 40°

The appropriate selection is
  C) 40°

salantis [7]3 years ago
4 0

Answer:

40°

Step-by-step explanation:

First, find minor arc AD.

minor arc AD = 360 - 78 - 124 = 158

then,

∠ABD =

1

2

(minor arc AD - minor arc AC)

∠ABD =

1

2

(158 - 78)

∠ABD =

1

2

80

∠ABD = 40°

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Need Help
grigory [225]
<h3>Answer:  Approximately 191 bees</h3>

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

4 0
3 years ago
− 4 /5 + 40/75 +100%
Reika [66]

Answer:

0.266666666

Step-by-step explanation:

7 0
3 years ago
What is the square of √4​
Elan Coil [88]

Answer:

4

Step-by-step explanation:

To find the square of a number, you multiply it by itself. This means √4 * √4 gives the answer. √4 can be simplified to 2 because 2^2 is 4. So, 2 *2 gives the answer, which is 4.

7 0
3 years ago
Read 2 more answers
Who am I if you multiply me by -3 and add 12 the result is -48
crimeas [40]

Answer:

you would be 20

Step-by-step explanation:

easy peasy

3 0
3 years ago
Read 2 more answers
Under his cell phone plan, Evan pays a flat cost of $57.50 per month and $3 per gigabyte. He wants to keep his bill at $62.90 pe
frozen [14]

Answer:

3g+57.50=62.90

Step-by-step explanation:

Your total will be 62.90 so its by its self and you need to subtract 57.50 and divide by 62.90

4 0
3 years ago
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