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2 years ago

The measure of ∠1 = 43 86 274

Mathematics

2 answers:

german2 years ago

8 0

Answer:

$m$

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

$m$

pychu [463]2 years ago

8 0

Answer:

Option A). 43°

Step-by-step explanation:

As we know from tangent chord angle theorem

Tangent chord angle ∠1 = (1/2)(Intercepted arc)

It has been given in the question tangent chord angle = ∠1

Measurement of major arc = 274°

Now measurement of intercepted arc = (360 - measurement of major arc)

Intercepted arc = (360 - 274) = 86°

Therefore tangent chord angle 1 = $\frac{86}{2}=43$

Option A. 43° is the correct answer.

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Murljashka [212]

Length of segment HJ is 5√3 units

Step-by-step explanation:

Here, apply the Pythagorean relationship where sum of squares of the sides equals the square of the hypotenuse.

Given that the hypotenuse, c= 10 units, and one of the side, a=5 units, then the other side can be calculated as;

a²+b²=c²

5²+b²=10²

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b²=100-25

b²=75

b=√75 = √3*25 = √3 *√25 = √3 *5 = 5√3

Length of segment HJ is 5√3 units

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2 years ago

Read 2 more answers

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Maru [420]

A) System of inequalities

Income from babysitting: 6x
Income from tutoring: 10y

Goal for this week: at least $ 75 => 6x + 10y ≥ 75
Number of hours: maximum $20 => x + y ≤ 20

x and y have to be zero or positvie => x≥0 and y ≥ 0

Answer of part A.

6x + 10y ≥ 75
x+y ≤ 20
x ≥ 0
y ≥ 0

Part B. Graph

The solution is a region closed by 4 lines and you can find it in the file attached.

In that graph:

1) the line x + y = 20 is the upper limit
2) the line 6x + 10 y = 75 is the lower incclined line
3) y = 0 is the botton horizontal line it is the x-axis
4) x = 0 is the left vertical line, in is the y-axis

Part C.

Use, for example the point (7,10).

It is in the region of the graph limited by the above equations.

It implies:

Number of hours worked = 7 + 10 = 17 which is less than 20.

Income: 6(7) + 10(10) = 42 + 100 = 142, which is greater than 75

Of course, both are greater than 0.

In this way we proved that the point (7,10) is a true solution for the model.

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2 years ago

Darcy keeps $5,000 in a bank account that does

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Answer:

Amount withdrawal = $2,847.66 (Approx)

Step-by-step explanation:

Given:

Amount deposit = $5,000

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Number of weeks = 8

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Computation:

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Amount withdrawal = 5,000[0.56953279]

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2 years ago

Paul needs to find 310% of 72. Which expression should he use

Nataliya [291]

Answer:

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Step-by-step explanation:

To find 310% of 72

Of means multiply and is means equal

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Change to decimal form

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2 years ago

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4vir4ik [10]

Answer:

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There is an outlier at (4.5,15).

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2 years ago