Help, please! In the diagram, FH = 1/3AC and 3FG = AB. What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?

1. 2. 3. BC/GH = 3
4. BC/GH = 1/3

Answer:

$1.80

Step-by-step explanation:

i had this question

Answer:

The answer is below

Step-by-step explanation:

a)  x represents the number of years since 2004 this means that x = 0 represent the year 2004, y represent the number of catalogs. From the table the numbers of catalogs in 2004 are y-intercepts and the slope is the growth rates. Hence the equations are:

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

b)

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

Subtract equation 2 from equation 1 to get:

0 = 2657x + 3635

2657x = -3635

Divide through by 2657

x = -1.368

Put x = -1.368 in equation 1:

y = 1293(-1.368) + 7440

y = 5671.1

This means that about 1.4 years before 2004, the number of catalogs where 5671

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

Answer: (5,7)

Step-by-step explanation:

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

9514 1404 393

Answer:

  (a^2 +ax -y^2)·(a^2 +ax +y^2)

Step-by-step explanation:

This can be factored as the difference of squares.

  a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4

  = (a(a+x) -y^2)(a(a+x) +y^2)

  = (a^2 +ax -y^2)·(a^2 +ax +y^2)

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

Answer:

f(x) = 3x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)

m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then

y = 3x ← is the equation of the graphed line

Answer:

y = 3x -10

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

I took a screenshot of the graph below, as an example of the rise over run method.

3 ÷ 1 = 3

To find the y intercept, count down on the graph until you reach the point where the line crosses.

In this case, the line crossed at -10 on the y-axis.

(Look at the second image)

So plug the numbers into the equation, and then you get y = 3x -10.

Answer:

20% because if there's six different chocolates she likes and if she picks random thers a possibility of it

Answer:

So for..

a. from: 2   to: 4

b. from: 0   to: 2      ( I believe this one, may be incorrect- sorry if so)

c. from: 6   to: 10      ( I believe also for this one, sorry if incorrect)

d. from: 5   to: 6       ( I beleive- that is what it looks like- sorry if incorrect)

e.  They are staying at a constant rate, not changing, at rest...

Hope this helps!

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

Answer:

It's 30

..................

they all are equal to 1:3

so 90/3=30

answer is 30 !

Answer:

x^2 + 4x + 3 with a remainder of 5

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

Answer:

are u really done this one or not I help U okay salamat

Answer:

C x=4/5

Step-by-step explanation:

Answer:

The volume of the shark tank is [tex]2160 m^3[/tex]

Step-by-step explanation:

The tank is in the shape of a rectangular prism.

The length of the tank, [tex]l=18[/tex] m.

The width of the tank, [tex]w=15[/tex] m.

The height of the tank, [tex]h=8[/tex] m.

We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].

So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]

Hence, the volume of the shark tank is  [tex]2160 m^3[/tex].

Answer:

She will pay $30.8448.

Step-by-step explanation:

Consider the provided information.

The price of the sweater is $90.

She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.

70% of $90 = [tex]0.7\times 90 = 63[/tex]

Now she gets a discount of 20% it means she needs to only 80% of $63.

[tex]0.8\times 63=50.4[/tex]

If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4

[tex]0.9\times 50.4=45.36[/tex]

If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36

[tex]0.85\times 45.36 =38.556[/tex]

Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556

[tex]0.8\times 38.556=30.8448[/tex]

Hence, she will pay $30.8448.

Answer:

E

Step-by-step explanation:

E is the correct answer

Answer: 40

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

2x+10+3x+x+50=180

Combine like terms

6x+60=180

Subtract 60 on both sides

6x=120

Divide 6 on both sides

x=20

Hope it helped :))