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3 years ago

Determine the value of x. Assume the segments that appear tangent are tangent

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

9514 1404 393

Answer:

x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

(x -2)(x +6) = 9×20

x² +4x -12 = 180

x² +4x +4 = 196 . . . . . add 16 (complete the square)

(x +2)² = 14²

x +2 = 14 . . . . . . . . . . . positive root is the only one useful

x = 12

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a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the pa

Ilia_Sergeevich [38]

Answer:

P = 20 cm

Step-by-step explanation:

The appropriate formula is P = 2W + 2L.

Here that comes to P = 2(6 cm) + 2(4 cm) = 20 cm

6 0

3 years ago

How do I solve this? <br> Please help

quester [9]

Filling in the boxes:
Top row outside box: 3c and 8
Second row outside box: - or -1
Inside box: -3c and -8

Expanded: -3c - 8

5 0

2 years ago

Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $18,000. Their down payment is what

vovangra [49]

Answer:

$180,000 is 10% $9,000 is 5%

Step-by-step explanation:

To solve for this, you would set up a ratio and cross-multiply.

$18,000/$180,000 = x%/100%

(18,000)(100) = 180,000x

1,800,000 = 180,000x

10 = x

9,000/180,000 = x/100

900,000 = 180,000x

5 = x

$18,000 ÷ 2 = $9,000

10% ÷ 2 = 5%

8 0

2 years ago

In circle G with m<FJH=31° , Find the angle measure of minor arc FH

Viefleur [7K]

Answer:

62°

Step-by-step explanation:

Inscribed Angle Theorem

Inscribed angles measures are 1/2 of the arc they create.

m∠FJH x 2 = arc FH

Just take the 31° and double it.

7 0

2 years ago

In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places

erastova [34]

Answer:

$z= \frac{p- \mu_p}{\sigma_p}$

And the z score for 0.4 is

$z = \frac{0.4-0.4}{\sigma_p} = 0$

And then the probability desired would be:

$P(p$

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

$np = 45*0.4= 18 >10$

$n(1-p) = 45*0.6= 27 >10$

For this case we can assume that the population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Where:

$\mu_{p}= \hat p = 0.4$

$\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703$

And we want to find this probability:

$P(p$

And we can use the z score formula given by:

$z= \frac{p- \mu_p}{\sigma_p}$

And the z score for 0.4 is

$z = \frac{0.4-0.4}{\sigma_p} = 0$

And then the probability desired would be:

$P(p$

7 0

3 years ago

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