Triangle ABC is similar to triangle FGH.

What is the value of x in centimeters?

Answer should be 21

=

189

9

=

21

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

Answer:

Yes

Step-by-step explanation:

As long as no x values repeat it is considered a function

In the given set no x values repeat therefore it is a function

Answer:

Yes.

Step-by-step explanation:

Each input has exactly one output. Therefore, this is indeed a function.

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

Divide the total by 6 to find the cost of each shirt

111/6 =18.5

Each shirt was 18.50

Answer:

I would answer but I have no numbers to give the answer

Answer:

∠EFG=2×∠EHG

∠EFG=2×42

∠EFG=84°

so,m∠EFG=84°

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hope it helps...

have a nice day!!

Slope is 0.75 or 3/4 I believe!

Step-by-step explanation:

(1, -3). (3, 0)

(0 + 3)/(3 - 1) = 3/2 is the slope

Answer:

14 days

Step-by-step explanation:

Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.

50,000 - 8000 = 42,000 trinkets

Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity

42,000 / 3000 = 14 days

Therefore, it will take 14 days for the warehouse to be filled

Answer:

The 24,003 is the fastest

15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

Answer:

7) 96

8) 84

9) 72

Step-by-step explanation:

A = bh

7)

b = 12, h = 8

A = 12*8 = 96

8)

b = 12, h = 7

9)

b = 8, h = 9

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

Answer:

22 feet

Step-by-step explanation:

When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.

Given:

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

To find:

The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.

We know that,

[tex]\sin^2\theta +\cos^2\theta =1[/tex]

[tex]\sin^2\theta=1-\cos^2\theta[/tex]

[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]

It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,

[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]

After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get

[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]

[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin \theta=-\dfrac{4}{5}[/tex]

Therefore, the correct option is B.

Answer:

3x - 4

Step-by-step explanation:

(6x^2 − 8x) ÷ (2x) =

(6x^2)/2x - 8x/2x =                 

3x - 4

Answer:

(C). 3x - 4

Step-by-step explanation:

It will be easily to break this down so,

6/2=3

x^2/x=x

therefore, 6x^2/2x = 3x

Minus stay minus

8/2 = 4

x/x=1

therefore, 8x/2x=4

If we put it all together,

3x - 4

if this helps you, please give brainliest!

Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

Answer:

[tex]a = 3\sqrt{7}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine (a)

To do this, we make use of Pythagoras theorem.

[tex]12^2 = a^2 + 9^2[/tex]

[tex]144 = a^2 + 81[/tex]

Collect like terms

[tex]a^2 = 144 -81[/tex]

[tex]a^2 = 63[/tex]

Take square roots

[tex]a = \sqrt{63}[/tex]

Expand

[tex]a = \sqrt{9*7}[/tex]

Split

[tex]a = \sqrt{9}*\sqrt{7}[/tex]

[tex]a = 3\sqrt{7}[/tex]

Answer:

g = 10

Step-by-step explanation:

First, let's find the missing value of the 'C'

180 - 110 = 70 degrees

Now that we have the answer for one side, we can make an equation:

2g + 9g + 70 = 180 (area of a triangle is 180 degrees)

11g + 70 = 180

11g = 180 - 70

11g = 110

g = 110 / 11

g = 10

The value of g is 10 so we can now add them to the expression:

2g = 2(10) = 20

9g = 9(10) = 90

To make sure that you have the correct answer, add the values so that you get an answer as 180:

70 + 20 + 90 = 180

hope this helps....

From the given figure, We can notice that :

∠BCA + 110° = 180°      (Because they make a Linear Pair)

⇒  ∠BCA = 180° - 110°

⇒  ∠BCA = 70°

We know that : Sum of the Angles in a Triangle should be equal to 180°

⇒  2g° + 9g° + ∠BCA = 180°

⇒  11g° + 70° = 180°

⇒  11g° = 180° - 70°

⇒  11g° = 110°

⇒  g° = 10°

⇒  9g° = (9 × 10) = 90°

⇒  2g° = (2 × 10) = 20°

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

Answer: 5 Seconds

Step-by-step explanation: Given the equation of the height expressed ad;

h(t) = - 16t^2 + initial height

Given that initial height = 400feet

h(t) = - 16t^2 + 400

The waste will hit the ground at when h(t) = 0

substitute

0 =  - 16t^2 + 400

16t^2 = 400

t² = 400/16

t² = 25

t = √25

t = 5secs

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

Answer:

Option 4

Step-by-step explanation:

3x(x+2)-4(x+2)

(3x-4)(x+2)

3x²+6x-4x-8

3x²+2x-8

Brainliest please

Answer:

(x + 2)(3x - 4)

3x^2 + 2x - 8

Step-by-step explanation:

Factor out x + 2.

You get: (x + 2)(3x - 4)

Now multiply it out:

(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8

Answer:

3^-6(81)^2=3^-6(6561)=9 which is 3^2