All categories

3 years ago

(4x + 5)

Mathematics

1 answer:

zavuch27 [327]3 years ago

7 0

Answer:

<A = 133degrees

Step-by-step explanation:

Find the diagram attached

Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;

m<A + m<C = 180

4x+5 + x + 15 = 180

4x+x+5+15 = 180

5x+20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32degrees

Get the measure of angle A

<A = 4x+5

<A = 4(32)+5

<A = 128+5

<A = 133degrees

You might be interested in

3 in to 2 ft in simplest form

BigorU [14]

The goal in simplifying numbers is to reduce it that can be best seen in the eye. Also in converting units, you must take note of the units given in the problem. If you don’t, you would get a lot of errors. Length is the measure of distance and can be best represented by either in SI units or English units. Example of an SI unit is meter, m, and English unit is feet, ft. You are given 3 inches and 2 feet. You can convert any of the numbers into a number that would feel comfortable to you. I will take 3 inches. Note that there are 12 inches in 1 feet. So divide 3 by 12 and you will get ¼ feet. Then divide 2 feet to ¼ feet and you will get 8.

4 0

3 years ago

Read 2 more answers

Y = 14x + -10 y = 7x +-3

vfiekz [6]

Answer:

oops i forgot the answer o well ill just play fortnite

Step-by-step explanation:

7 0

3 years ago

To decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger a

Komok [63]

Answer:

The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

Step-by-step explanation:

Let the random variable X be defined as the height of chimneys in factories.

The mean height is, μ = 100 meters.

The standard deviation of heights is, σ = 12 meters.

It is provided that a random sample of n = 40 chimney heights is obtained.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Since the sample selected is quite large, i.e. n = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

$\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})$