What is the value of x? Justify each step. Given: AB bisects RAN. each angle BAN = (2x-75)​

Answer:

3y = 6 → –3y = –4x + 6 → y =  – 2.

Answer:

There is 3 terms.

Step-by-step explanation:

Hope this helps! ^^

Answer:

11

Step-by-step explanation:

(y+5)-(y-6)

y+5-y+6(opening the bracket)

5+6

11

Answer:

11

Step-by-step explanation:

(y+5) - (y-6) = y + 5 - y + 6 =

0y + 11 = 11

Remember, y - y = 1y - 1y = 0y or 0,  and - (y-6) = -1 (y-6) = -y + 6

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

∝

x

we can write that

y

=

k

⋅

x

where k is a constant of proportionality.

Using the values given:

6

=

18

⋅

k

⇒

k

=

1

3

y

=

1

3

⋅

12

=

4

Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

101, 29, 99

Step-by-step explanation:

I took the test :)

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

x = 22.5°

Step-by-step explanation:

Answer:

There are 80 10th graders in the school

Step-by-step explanation:

Let the number of 10th graders be x

There are 25% fewer 11th graders

That mean x - 25% of x

x -0.25x = 0.75x

There are 20% more 11th graders than 12th graders

So if number of 12th graders = y, then

0.75x = y + 20/100 * y = y + 0.2y = 1.2y

Since ;

0.75x = 1.2y

then y = 0.75x/1.2 = 0.625x

So let’s add all to give 190

x + 0.75x + 0.625x = 190

2.375x = 190

x = 190/2.375

x = 80

Answer:

60

Step-by-step explanation:

ANSWER:

D.

STEP-BY-STEP EXPLANATION:

In this case, we have the following:

3 quarters, 2 dimes, 3 nickels, and 1 penny.

Let Q, quarters

Let D, dimes

Let N, nickels

Let P, penny

Now,

Since there is only 1 penny, it cannot go out twice.

But in the case of Q, D and N, if they can come out twice, there are more than one.

Then you could choose one of each, just like this:

QD

QN

QP

DN

DP

NP

Therfore, the option that includes all those options is the last option D.

Answer:

3 students

Step-by-step explanation:

since the total number of students is 25,when you add those that like baseball, basketball and football the total number must be 25 but in this case it's 22 meaning 2 student liked neither.

7+5+10+x=25

x=25-22

=3

I hope this helps

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

0

Step-by-step explanation:

P(A and B) is equal to 6.

To find P(A and B), we can use the formula:

P(A and B) = P(A) + P(B) - P(A U B)

Given the information:

P(A U B) = 32 (the probability of either event A or event B occurring)

Universal set contains 52 elements (total number of possible outcomes)

P(A intersection B) = 6 (the probability of both event A and event B occurring)

P(A) = 12 (the probability of event A occurring)

P(B) = 26 (the probability of event B occurring)

We can substitute the known values into the formula:

P(A and B) = P(A) + P(B) - P(A U B)

P(A and B) = 12 + 26 - 32

Simplifying the expression:

P(A and B) = 38 - 32

P(A and B) = 6

Therefore, P(A and B) is equal to 6.

The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.

For more question on  equal visit:

https://brainly.com/question/29301106

#SPJ8

Answer:

73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

\(8^2\) is 64. \((7-4)^2\) is the same as \(3^2\) which is 9. 64+9=73. Here, for \((7-4)^2\) , we can evaluate the part inside the bracket first. And 7-4=3.

The quantity of icing that would cover one peice of Jenny's birthday cake is 34.22 cm².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

22/7  x 14² = 616 cm²

Icing on one piece of cake = 616/18 = 34.22 cm²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

#SPJ1

With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Know more about triangle similarity here:

https://brainly.com/question/14285697

#SPJ1

Answer:

I think its 48

Step-by-step explanation:

miltiplication/times tables

Answer:

x = − 6.3 ,  y = 2.6

Step-by-step explanation:

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

Find out more on cost at https://brainly.com/question/30418658

#SPJ1

Answer:

Your mother

Step-by-step explanation:

Answer:

It is equal to the protons in a neutral atom

more over

#proton =#electrons=atomic number

Answer:

It is equal to the protons in a neutral atom

Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

The simplest form of the radical expression (√2 + √3) / (√2 - √3) is -5 - 2√6.

Given the radical expression in the question;

(√2 + √3) / (√2 - √3)

To simplify the expression, we need to eliminate the radical in the denominator.

We can do this by multiplying both the numerator and denominator by the conjugate of the denominator, which is (√2 + √3):

[(√2 + √3) / (√2 - √3)] × [ (√2 + √3) / (√2 + √3) ]

= (2 + √6 + √6 + 3) / (2 - √9)

= (5 + 2√6) / (2 - 3)

= (5 + 2√6) / (-1)

= -5 - 2√6

Therefore, the simplified form is -5 - 2√6.

Learn more about surds at: brainly.com/question/840021

#SPJ1

Answer:

\(-27\)

Step-by-step explanation:

\(5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27\)