Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Answer:

W = -3

Step-by-step explanation:

Answer:

w = - 3

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]

Multiply both sides by 5 to clear the fractions

2(w + 5) = 4 ( divide both sides by 2 )

w + 5 = 2 ( subtract 5 from both sides )

w = - 3

Answer:

TV = 12

Step-by-step explanation:

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

3x + 6

= 3(2) + 6

= 6 + 6

= 12

The numerical value of TV will be 12.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point U is a line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6.

The numerical value of TV will be calculated as below:-

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, and constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

TV = 3x + 6

TV = 3(2) + 6

TV = 6 + 6

TV = 12

Therefore, the numerical value of TV will be 12.

To know more about line segments follow

brainly.com/question/3573606

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Answer:

[tex] - 4x - 8[/tex]

Step-by-step explanation:

[tex] - 4(x + 2) = - 4x - 8[/tex]

Hope this helps ;) ❤❤❤

Answer: It's -4x- 8

Step-by-step explanation: Hope it hepls.

Answer:

6/8 - 4/8= 2/8=1/4 cup

Hope it helps!

Answer:

A

Step-by-step explanation:

oh steps are here!

Answer:

a) 5

Step-by-step explanation:

2x² - 6x + 2y² + 2y = 45

Complete the square and get it in the form (x-a)² + (y -b)² = r²

2x² - 6x +  2y² + 2y  = 45

Divide the equation by 2

x² - 3x + y² + y = 45/2

x² -  3x + ? + y² + y + ?? = 45/2

? -----> (x coefficient by 2)² = (3/2)² = 9/4

?? ----> (y coefficient by 2)² = (1/2)² = 1/4

Add (9/4) & (1/4) to both sides,

x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)

(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)

[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]

Radius  = 5

Answer:

1) Distance from their home to campus → Continuous

2) The number of siblings → Discrete

3) How many books they have read in the past month → Discrete

4) How long it took them to complete an online survey → Continuous

Step-by-step explanation:

A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.

Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus

A continuous variable is one that is a variable that if it is possible for the variable  to have values between two values, then the variable can have any of the values in between the two values

Example of a continuous variable are

The Height of people within a building

The distance traveled to a location.

Therefore, we have the following classification of the data is given as follows;

1) from their home to campus is a Continuous variable

2) The number of siblings is a  Discrete variable

3) How many books they have read in the past month is a Discrete variable

4) How long it took them to complete an online survey is a Continuous variable.

Ur solution is in the attachment.

Answer:

d)  ? = 5

e)   ? = -2x

f)    ? = x

Step-by-step explanation:

d) 20 = (4)(?)

    20/4 = ?

     5 = ?

    Check:

    20 = 4*5

e)   -14x = (7)(?)

     -14x/7 = ?

      -2x = ?

      Check:

      -14x = 7*-2x

f)    x³ =x² (?)

      x³/x² = ?

      x³⁻² = ?

      x¹ = ?

       x = ?

      Check:

     x³ = (x²)(x)      

Answer:

My answer to the question is option D

Answer:

b.  area = 18 square units

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 (6+3) + (6-2)

area = 1/2 * 9 * 4

area = 18 square units

therefore the answer is b.

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)

[tex] S(9, 5) = (x_2, y_2) [/tex] (given)

[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]

[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]

[tex] PS = \sqrt{121} = 11 units [/tex]

Answer:

x=5

Step-by-step explanation:

add 38 to to the pther side

combine 38+52=90

add 12 to the other side

12+6=18

divide 90 by 18= 5

Answer:

Area of a triangle =1/2bh.

1/2×8×10=40cm^2.

Answer:

1,530 cm³

Step-by-step explanation:

The figure consists of two rectangular prism or cuboid.

The dimension of cuboid 1:

[tex] l = 10cm, w = 9cm, h = 9cm [/tex]

[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]

The dimension of cuboid 2:

[tex] l = 18cm, w = 10cm, h = 4cm [/tex]

[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]

Volume of the figure = 810 + 720 = 1,530 cm³

Answer: 1,530

Step-by-step explanation:

Answer:x^2-12x+5<0= 6

hope it helps :)

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

Solve for x: [tex]-2x+5<7[/tex]

To solve this inequality, we must minus 5 from both of the sides.

[tex]-2x+5-5<7-5[/tex]

This equals

[tex]-2x<2[/tex]

Now we'll make this into a fraction and divide both sides by -2.

[tex]\frac{-2x}{-2} <\frac{2}{-2}[/tex]

After we divided, we got our answer.

[tex]x>-1[/tex]

Hope this helps!

Answer:

If you mean the Lowest Common Multiple (LCM) then the answer is 30.

But if you mean the lowest number that can be divided by 2, 3, and 5 then the answer is -∞ because any given number can be divided by any number except 0.

Hoped I helped

Can I get a brainiest

Answer:

If you mean what is the smallest number divisible by 2, 3, 5, 9, and 10, then I have no idea, sorry. :'(

Step-by-step explanation:

Answer:-

5(x-3)=y(4-3x)

5x-15=4y-3xy

5x+3xy=4y+15

x(5+3y)=4y+15

x=>(4y+15)/(5+3y)

:)

Answer:

Step-by-step explanation:

5(x - 3) = y(4 - 3x)

Use distributive property

5*x - 5*3 = y*4 - y*3x

5x - 15   = 4y - 3xy

5x  = 4y -3xy + 15

5x + 3xy = 4y +15

x(5 + 3y) = 4y +15

x = [tex]\frac{4y+15}{5+3y}[/tex]

Answer:

19

Step-by-step explanation

Let the sum of n terms of A.P. = Sn

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

(- 5, - 4 ) → (4, - 5 )

Answer: 24x^6e^4/7ry^3

Step-by-step explanation:

Answer:

  D.  miles/hour

Step-by-step explanation:

The units analysis tells you the units are ...

  [tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]

Units of meters and seconds cancel, leaving miles/hour.

Answer:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of

As can be seen from the attached photo,

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> range is y≥ 1.

Therefore, we choose answer B

Hope it will find you well.

(I found this somewhere else)

Answer:

Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.

Sea la longitud representada por ly el ancho por w

entonces ; l = 6 metros + w

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]

Answer:

[tex]\frac{64}{x}[/tex]  quotient means you divide

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

-2x + 4x = -4 + 0

2x = -4

2x/2 = -4/2

x = -2

Hope this helps.

Answer:

The answer is -2

Step-by-step explanation:

You add the 4x to the -2x to get 2x, then you add -4 to zero to get -4. You are then left with 2x=-4 meaning that x would be -2

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

Answer:

The answer is 10 .

Step-by-step explanation:

f(x) = x-3

h(x) = [tex]x^{2} +6[/tex]

Now ,

  hog(1)

=h (1-3)

=h (-2)

= [tex](-2)^{2}[/tex] +6

= 4+6

= 10