in AABC, the measure of angle A=x degree, the measure of angle B=(2x)degrees, and the measure of angle C=(6x+18)degrees. What is the measure of angle B?

Answer:

b) 13

Step-by-step explanation:

67 - 55 = 12

55 - 46 = 9

46 - 34 = 12

34 - 25 = 9

25 - x = 12

rearrange that so,

25 - 12 = x

x = 13

Answer:

b) 13

Step-by-step explanation:

67 - 12 = 55

55 - 9 = 46

46 - 12 = 34

34 - 9 = 25

pattern: subtract 12, subtract 9

the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:

25 - 12 = 13

Answer:

152

Step-by-step explanation:

Trick question,

4x + 52 + 28 = 180

Then

You subtract 180 and 28 to get 152

Answer:

40 students

10 teachers

Step-by-step explanation:

32 + 8 = 40

5 + 5 = 10

Hope this helps!! ♥︎

The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north of Dave.

Distance is

c²=3²+4²

c²=9+16

c²=25

c=5 miles

The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.

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Answer:

8

Step-by-step explanation:

12.50(8) =100 +20 = 120

Answer:

p=8

Step-by-step explanation:

First we have to try all of the options to see if it is right

12.50(8)+20=120

(12.50*8)+20=120

100+20=120

120=120

Yay! The first one was right!

Answer:

[tex] \sqrt[2]{3} [/tex]

[tex] \sqrt[4]{3} [/tex]

Step-by-step explanation:

A garden is in a shape of an equilateral triangle with side 4 ft.

The objective is to find the area of the garden.

The formula to find the area of the triangle is, A= 1/2• b • h

Here, b represents the side of the triangle and h represents and h represents the height of the triangle.

The height of an equilateral triangle can be calculated by,

H = /3/2 • b

= /3/2 • 4

=

[tex] \sqrt[2]{3} [/tex]

Now substitute the value of b and h in the formula of area of triangle.

A = 1/2 • 4 •

[tex] \sqrt[2]{3} [/tex]

=

[tex] \sqrt[4]{3} [/tex]

ft²

Answer:

Step-by-step explanation:

Base of the triangle is:

Height of the triangle:

Area is:

Answer: x = 10

Step-by-step explanation:

The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

In this case, we have:

A = (x - 4)

B = (x - 2)

H = x

Then we have the equation:

(x - 4)^2 + (x - 2)^2 = x^2

Now we need to solve this for x, first let's simplify it.

(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2

2*x^2 - 12*x + 20 = x^2

2*x^2 - 12*x + 20 - x^2 = 0

x^2 - 12*x + 20 = 0

The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Then the solutions for our equation are:

[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]

Then the two possible solutions are:

x = (12 - 8)/2 = 4/2 = 2

Notice that if x = 2, then the length of the catheti will be:

A = 2 - 4 = -2

B = 2 - 2 = 0

This has no sense, so we can discard this solution.

The other solution for x is:

x = (12 + 8)/2 = 10

x = 10

Then:

H = 10

A = 10 - 4 = 6

B = 10 - 2 = 8

This solution makes sense, then x = 10.

Answer: $80

Step-by-step explanation:

Answer:

The percentage of the original price that was discounted is 21.33%

Step-by-step explanation:

The original price of a bicycle was $375. Now it is on sale for $295.

The discounted price of a product is calculated as the percentage of discount that you want to apply multiplied by the price of the product. This is the amount of money that is discounted. But to calculate the sale price, the original price of the product must be subtracted minus the discounted quantity.

So, this expressed in this case is:

375-x*375=295

The value of x is the discount that you want to calculate expressed in decimal number. This result will then be multiplied by 100 to obtain the discount expressed as a percentage.

Isolating the value of x you get:

-x*375=295-375

-x*375=-80

x=(-80)÷(-375)

x=0.2133

As a percentage, it is 0.2133*100= 21.33%

The percentage of the original price that was discounted is 21.33%

Answer:

It's the point in where they intersect or cross.

Answer:

B. $79.45

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.

I = (70)(0.045)(3)

I = 9.45

70 + 9.45 = $79.45

Please let me know if you have questions.

Answer:

f(2) = 22

Step-by-step explanation:

To find f(#), plug the number into each x of the equation.

f(x) = 10x + 2

f(2) = 10(2) + 2

Simplify the parentheses by multiplying.

f(2) = 20 + 2

Add.

f(2) = 22

Hope this helps!

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Answer:  I think its 324

Step-by-step explanation: $9.00 X 36 = 324

Answer:

c 33ft .....

Step-by-step explanation:

c is correct

The possible height of the building is 33 ft.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Here, Let the height of the building be x ft

           Base = 12ft.

          Angle of Elevation = 70⁰

Now, tan α = perp. / base

         tan 70⁰ = x/12

         2.74 = x/12

          x = 12 X 2.75

          x = 33

Thus, the possible height of the building is 33 ft.

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Answer:

Step-by-step explanation:

A is 10

B is 13

C is [tex]\sqrt{43.65}[/tex]

D is [tex]\sqrt{74}[/tex]

Addition Property of Equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Answer:

Perimeter of the rectangle = 44 units

Step-by-step explanation:

Let the coordinates given are the vertices A(-7, 6), B(3, 6), and C(3, -6) of the rectangle.

Since, opposite sides of a rectangle are equal in length,

Fourth vertex of the rectangle will be D(-7, -6)

Length of AB = 3 - (-7) = 10 units

Length of BC = 6 - (-6) = 12 units

Length of CD = 3 - (-7) = 10 units

Length of AD = 6 - (-6) = 12 units

Therefore, perimeter of the rectangle = 2(Length + width)

                                                               = 2(12 + 10)

                                                               = 44 units

Answer: 7

Step-by-step explanation:

First order the numbers by least to greatest

2, 3, 5, 9, 12, 21

Then find the number inbetween

In this case it's a tie between 5 and 9.

Find the average of those two numbers

The average is 5+9/2 = 7

Median is 7

Answer:

no

Step-by-step explanation:

To determine if the point lies on the line, substitute x = 4 into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.

y = 3(4) + 1 = 12 + 1 = 13 ≠ 1

Thus (4, 1) does not lie on the line

Replace x in the equation with the x value of the point and solve for y. If Y equals the y value of the point then the point lies on the line.

y = 3x + 1

y =3(4) +1 = 12 +1 = 13

y = 13, this does not equal the y value of the point which is 1, so point (4,1) does not lie on the line.

Pens Are 4:95

Paper is 3:95

The prices for both the things are $4.95 and $3.95 respectively.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

Given that,

The price for  5 packs of paper and 3 packs of pens is  $36.60.

And, for 6 packs of paper and 6 packs of pens is  $53.40.

Suppose the price of one paper pack be x and of pens be y.

Then, the given case can be written in terms of equation as,

5x + 3y = 36.60         (1)

6x + 6y = 53.40         (2)

Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,

2(6x + 6y) - 4(5x + 3y) =  2 × 53.40 - 4 × 36.60  

=> 12x - 20x = 106.80 - 146.40

=> -8x = -39.60

=> x = 4.95

Substitute x = 4.95 in equation (2) to get,

6 × 4.95 + 6y = 53.40

=> 6y = 53.40 - 29.70

=> y = 23.70/6

       = 3.95

Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.

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Answer: The answer I got was A) 2.5

Step-by-step explanation:

Hope this Helps!!!

Ok first of all fort nite is you know second I did some calculations its not five so the thing I cant find out is what 5.5  rounded is so what ever 5.5 rounded to is your answer so if you find out what 5.5 is rounded to youll have your answer! I hope this helps

Answer: Combination 2,3,4 (going down)

Step-by-step explanation:

These are the equations

1. 3.97(5)+5.25=25.1 this is (10 cents over cant buy)

2. 2.75(7)+2.4(2)= 24.05 (good)

3. 5.25(2)+2.4(6)= 24.9 (good)

4. 3.97(3)+2.75(4)= 22.91 (good)

5. 5.25(2)+2.75(6)= 27 (two dollars over cant buy)

Answer:

Step-by-step explanation: