All categories

3 years ago

What is value of x? What I the measure of angle C?

Mathematics

1 answer:

maw [93]3 years ago

4 0

To find the answer, we can use the angles sum of triangle, where the sum of angle of a triangle will be 180°.

In this case, we can set an equation to find the answer:

35°+52°+3(x+2) = 180°

3x + 3(2) = 180°-35°-52°

3x = 95 - 6

x = 87/3

x = 29

Therefore, x = 29.

We can then find the measure of angle C by putting the value x in the equaiton:

3((29)+2)

=29(3) + 2(3)

=87 + 6

= 93°

Therefore, angle C is 93°.

Hope It helps!

You might be interested in

Rewrite the following to show that the opposite of a sum is the sum of the opposites.<br> -(1/4 +6)

alina1380 [7]

Answer:

1/4+6

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300. The

zubka84 [21]

Answer:

the variance of the refund payment to the couple = 9463.394

Step-by-step explanation:

Given that :

A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300.

It is possible that the couple won't be able to refund up 100 per day or more than 100 per day.

SO; let assume that the refund payment happens to be 0, 100,200, 300

Let X be the total refund payment on the seven day cruise.

We can say X = 0, if there is no rain on all 7 days.

$P(X = 0) = _nC_x * P^x * (1 - P)n-x$

$P(X = 0) = _7C_o * 0.2^0 * (1-0.2)^{7-0$

$P(X = 0) =1 * 1* (1-0.2)^{7$

$P(X = 0) =(0.8)^{7$

$P(X = 0) =0.2097152$

If it rains on any one day; then X = 100

$P(X = 100) = _nC_x * P^x * (1 - P)n-x$

$P(X = 100) = _7C_1 * 0.2^1 * (1-0.2)^{7-1$

$P(X = 0) =7 * 0.2* (1-0.2)^{6$

$P(X = 100) =7* 0.2* (0.8)^{6$

$P(X = 100) =0.3670016$

if it rains on any two day ; then X = 200

$P(X = 200) = _nC_x * P^x * (1 - P)n-x$

$P(X = 200) = _7C_2 * 0.2^2 * (1-0.2)^{7-2$

$P(X = 200) = 21 * 0.2^2 * (0.8)^{5$

$P(X = 200) = 0.2752512$

if it rains on any three day or more than that ; then X = 300

$P(X \ge 300) = 1 - P(X < 300) \\ \\ P(X \ge 300) = 1 - [P(X = 0) + P(X = 100) + P(X = 200)] \\ \\ P(X \ge 300) = 1 - [0.2097152 + 0.3670016 + 0.2752512] \\ \\ P(X \ge 300) = 0.148032$

Now; we have our probability distribution function as:

P(X = 0) = 0.2097152

P(X = 100) = 0.3670016

P(X = 200) = 0.2752512

P(X = 300) = 0.148032

In order to determine the variance of the refund payment to the couple; we use the formula:

variance of the refund payment to the couple $[Var X] =E [X^2] - (E [X])^2$

where;

$E[X^2] = \sum x^2 \times p \\ \\ E[X^2] = 0^2 * 0.2097152 + 100^2 * 0.3670016 + 200^2 * 0.2752512 + 300^2 * 0.148032 \\ \\ E[X^2] = 0 + 3670.016 + 11010.048+ 13322.88 \\ \\ E[X^2] =28002.944$

$(E [X]) = \sum x * p\\ \\ (E [X]) = 0 * 0.2097152 + 100 * 0.3670016 + 200 * 0.2752512 + 300 * 0.148032 \\ \\ (E [X]) = 0 + 36.70016 + 55.05024 + 44.4096\\ \\ (E [X]) = 136.16 \\ \\ (E [X])^2 = 136.16^2 \\ \\ (E [X])^2 = 18539.55$

NOW;

the variance of the refund payment to the couple = 28002.944 - 18539.55

the variance of the refund payment to the couple = 9463.394

7 0

3 years ago

The original price of a pair of shoes is $42. The sale price is 20% off the original price. What is the amount off the original

GREYUIT [131]

Answer:

a) What is the amount off the original price?

= $8.4

b) What is the new price for the pair of shoes?

= $33.6

Step-by-step explanation:

a) What is the amount off the original price?

We are told that:

The sale price is 20% off the original price.

Original price = $42

Hence:

$42 × 20%

$42 × 20/100

= $8.4

b) What is the new price for the pair of shoes?

The new price =

0riginal price - Amount off the original price

= $42 - $8.4

= $33.6

The original price = $33.6

8 0

3 years ago

What is the correct method of recording numerical information from an experiment?

olga55 [171]

Answer:

The correct method for recording numerical information from an experiment is the quantitative method.

Step-by-step explanation:

This method represents the way of recording that tracks variables (sometimes more than one) and how they interact with each other. This will help to establish relationship within your experiment.

8 0

3 years ago

Read 2 more answers

Frank has 24 pennies, 62 nickels, 55 dimes, 16 quarters, and 19 fifty-cent pieces. How much money does he have?

erik [133]

Answer:

$22.34

Step-by-step explanation:

24 pennies is .24 of a dollar

62 nickels will be: (62 x 5) / 100 = 3.10

55 dimes is 5.5

16 quarters will be 4.0

19 fifty-cents will be 9.5

Add them up to get $22.34 if I’m right.

Hope this helped.

5 0

3 years ago