Angles ∠123 and ∠423 share a ray, what is the ray called?

Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their

algol [13]

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

4 0

3 years ago

The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers? 17

ioda

$75=7^2+5^2+1^1\\\\ 7+5+1=13$

6 0

3 years ago

at a local restaurant the health inspector visits every 7 days and the fire inspector every 12 days make a table for the next 4

luda_lava [24]

Answer:

Health inspector:7,14,21,28

Fire inspector:12,24,36,48

They will both be there on day 84

3 0

3 years ago

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution

Gennadij [26K]

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

<h3>What is the Central limit theorem?</h3>

The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.

Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.

Learn more about the central limit theorem here:

brainly.com/question/13652429

#SPJ4

4 0

2 years ago

How to solve y=3(0)^2-6(0)-5

Ilya [14]

Y = - 5

I hope this helps. :)

8 0

3 years ago