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4 years ago

The value of x is..............???

Mathematics

2 answers:

Lelechka [254]4 years ago

5 0

I did this problem on my notebook and I got the same answer; x=3

@Jcherry99 thanks for explaining, it really helped!

~Leo Cassidy~

Yuri [45]4 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

There are two ways to do this. The simplest way is to realize that the exterior angle (45x) = the sum of the two remote interior angles.

25x and 57 + x

45x = 25x + 57 + x Subtract 26x from both sides.

45x - 26x = 25x - 25x + 57 Combine

19x = 57 Divide by 20

19x/19 = 57/19 Do the division

x = 3

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

Second method.

The supplement of the 45x angle is 180 - 45x

Now add the three angles together.

180 - 45x + x + 57 + 25x = 180 Combine like terms.

180 + 57 - 45x + x + 25x = 180

237 - 19x = 180 Subtract 237 from both sides.

- 19 x = 180 - 237 Combine the right side

- 19x = -57

x = 3

Good thing you made me redo it. Sorry!! I made an error. I lost 1 of the xs.

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What is 58 divided by 6

dmitriy555 [2]

First you had to divide fifty-eight by the six.

$58/6= 9R4=9.6$

You can also round up to the nearest tenths is 9.67=10.00.

Explanation: The answer should be have a remainder 4 it is.

Final answer: $\boxed{9R4=9.6=10.0}$

Hope this helps!

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-Charlie

4 0

3 years ago

Read 2 more answers

Name a polygon that would have a

liubo4ka [24]

Answer:

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

Step-by-step explanation:

In a regular polygon all the sides are equal and also all the angles are equal. The sum of the interior angle of a polygon can be calculated with the following formula;

sum of interior angle = (n−2) × 180°

where

n = number of sides

The sum of the interior angle should be less than 7500 and greater than 7201.

sum of interior angle = (n−2) × 180°

less than 7500 and greater than 7201 = (43 - 2) × 180

less than 7500 and greater than 7201 = 41 × 180

less than 7500 and greater than 7201 = 7380 °

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

3 0

3 years ago

Which of the following are possible values for x?

Natali5045456 [20]

Answer:

The answer is only c) x=5

Step-by-step explanation:

|x| means that this is an absolute value. If the number is a negative, removing the value bars will make it a positive again. Positives stay positives. So the only answer greater than value of 2 is 5.

4 0

3 years ago

A company services home air conditioners. It is known that times for service calls follow a normal distribution with a mean of 7

SCORPION-xisa [38]

Answer:

The probability that exactly eight of them take more than 93.6 minutes is 5.6015 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that it is known that times for service calls follow a normal distribution with a mean of 75 minutes and a standard deviation of 15 minutes.

A random sample of twelve service calls is taken.

So, firstly we will find the probability that service calls take more than 93.6 minutes.

Let X = times for service calls.

So, X ~ Normal( $\mu=75,\sigma^{2} =15^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 75 minutes

$\sigma$ = standard deviation = 15 minutes

Now, the probability that service calls take more than 93.6 minutes is given by = P(X > 93.6 minutes)

P(X > 93.6 min) = P( $\frac{X-\mu}{\sigma}$ > $\frac{93.6-75}{15}$ ) = P(Z > 1.24) = 1 - P(Z $\leq$ 1.24)

= 1 - 0.8925 = 0.1075

The above probability is calculated by looking at the value of x = 1.24 in the z table which has an area of 0.8925.

Now, we will use the binomial distribution to find the probability that exactly eight of them take more than 93.6 minutes, that is;

$P(Y = y) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; y = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 12 service calls

r = number of success = exactly 8

p = probability of success which in our question is probability that

it takes more than 93.6 minutes, i.e. p = 0.1075.

Let Y = Number of service calls which takes more than 93.6 minutes

So, Y ~ Binom(n = 12, p = 0.1075)

Now, the probability that exactly eight of them take more than 93.6 minutes is given by = P(Y = 8)

P(Y = 8) = $\binom{12}{8}\times 0.1075^{8} \times (1-0.1075)^{12-8}$

= $495 \times 0.1075^{8} \times 0.8925^{4}$

= 5.6015 $\times 10^{-6}$ .

6 0

4 years ago

Help me with these please!!

Aliun [14]

7x + 5y > = 280 (thats greater then or equal)

8 0

4 years ago

The value of x is..............???​

The value of x is..............???