All categories

2 years ago

Which statements are always true regarding the diagram?

Mathematics

2 answers:

Anton [14]2 years ago

4 0

Answer:

C) m∠5 + m∠6 =180°

D) m∠2 + m∠3 = m∠6

E) m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

TRUST ME! JUST TOOK MY QUIZ ON E2020

valkas [14]2 years ago

3 0

Answer:

The correct answer is 4th option

m<2 + m<3 = m<6

Step-by-step explanation:

From the figure we can see that, a triangle with its exterior angles.

We know that, the sum of any two angle of a triangle is equal to the measure of exterior angle of third angle.

Therefore the correct answer is 4th option.

m<2 + m<3 = m<6

Here <2 and <3 are two interior angle, and <6 is the exterior angle of <5

You might be interested in

The average price for a gallon of gasoline in the United States is and in Russia it is . Assume these averages are the populatio

noname [10]

This question is incomplete

Complete Question

The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40 (Bloomberg Businessweek, March 5–March 11, 2012). Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia.

a. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?(to 4 decimals)

Answer:

0.1788

Step-by-step explanation:

We solve this question using z score formula.

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?(to 4 decimals)

For the United States

x is the raw score = $3.50

μ is the population mean = Average price for a gallon of gasoline in the United States is $3.73

σ is the population standard deviation = standard deviation of $.25 in the United States = $0.25

z score = $3.50 - $3.73/$0.25

=-0.92

Determining the Probability value from Z-Table:

P(x ≤ 3.50) = P(x < 3.5) = P(z = -0.92)

= 0.17879

Approximately to 4 decimal places = 0.1788

Therefore, the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon is 0.1788

5 0

2 years ago

What is the lateral area of a right rectangular prism that has rectangular bases measuring 3" by 5" and a height of 6"?

Mademuasel [1]

Answer:

The answer is the option A

$96\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a right rectangular prism is equal to

$LA=P*h$

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter

$P=2*(3+5)=16\ in$

$h=6\ in$

substitute in the formula

$LA=16*6=96\ in^{2}$

6 0

2 years ago

Read 2 more answers

How much water is in an empty glass that is 10cm high and has a diameter of 5cm

Lilit [14]

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

4 0

2 years ago

A veterinarian needs to know an animal's weight in kilograms.If 20 pounds is about 9 kilograms and dog weighs 30 pounds,use a ra

Lesechka [4]

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

Step-by-step explanation:

For this case we have the following conversion:

20 pounds = 9 kilograms

To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

10 pounds = 4.5 kilograms

So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

7 0

2 years ago

Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep

Viktor [21]

Answer:

Consistent and dependent

Step-by-step explanation:

We are given the following equation:

1. $3x+6y-12z=36$

2. $x+2y-4z=12$

3. $4x+8y-16z=48$

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with $x+2y-4z=12$ which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

6 0

2 years ago