All categories

1 year ago

In the diagram above, angle 1=40. Find the measure of angle 4

Mathematics

1 answer:

igomit [66]1 year ago

6 0

Answer:

Step-by-step explanation:

angle 1 and 4 are vertical angles therefore they have the same measure of 40 degrees

You might be interested in

Find the interior angle on a regular polygon with 45 sides...

PolarNik [594]

The exterior angles sum to 360º. Let x be the measure of each exterior angle. Then

45x = 360º ==> x = 8º

Then each interior angle (which is supplementary to an exterior angle) has measure (180 - x)º, so they have measure 172º.

3 0

3 years ago

The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850

AlexFokin [52]

Answer: b. 2x = 30

Step-by-step explanation:

Given : <u>30 states</u> joined the United States between 1776 and 1849

and <u>x states</u> joined between 1850 and 1900 .

If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.

i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)

i.e . 30= 2(x) [Substitute the values]

i.e . 2x=30

Hence, the true equation : 2x=30

8 0

3 years ago

The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that

lyudmila [28]

Answer:

The radius of the circle is $r=1.68\ units$

The length of the square is $x=3.36\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to $C=2\pi r$

The perimeter of the square is equal to $P=4x$

$24=2\pi r+4x$

Simplify

$12=\pi r+2x$

$x=(12-\pi r)/2$ -----> equation A

The area of a circle is equal to $A=\pi r^{2}$

The area of a square is $A=x^{2}$

The total area is equal to

$At=\pi r^{2}+x^{2}$ -----> equation B

substitute equation A in equation B

$At=\pi r^{2}+[(12-\pi r)/2]^{2}$

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

$r=1.68\ units$

Find the value of x

$x=(12-\pi r)/2$

assume

$\pi =3.14$

$x=(12-(3.14)*(1.68))/2$

$x=3.36\ units$

8 0

2 years ago

Each grid is a part of a decimal number chart similar to the one on page how do we write the missing number

EastWind [94]

Lol I don't knew that one srry tell some one else byeeee ohhh follow me on titter Giselle waffle lol ol Melanie 344

4 0

2 years ago

A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.

Harrizon [31]

Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

$p = \frac{10}{435}$

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

$P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}$

More can be learned about the uniform distribution at brainly.com/question/13889040

#SPJ1

5 0

1 year ago