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:

You already have the answer so ima just get the points

Have a good night

Answer:

15 m

Step-by-step explanation:

Given that :

Change in distance is the same each time Ballon is lowered ;

Number of times Ballon is lowered = 5 times ;

Total change in distance = 75 m

Change in distance per time lowered equals ;

(Total change in elevation / Numbe rof times Ballon is lowered)

75m / 5

= 15 m

Hence, Ballon height changes by 15 m each time it is lowered.

The integer gives the lowering rate.

Answer:

First Option: y = 1/2x + 8

Step-by-step explanation:

for lines to be parallel they must have the same slopes

Answer: A

Step-by-step explanation:

Answer:

The value of x = 12.

Step-by-step explanation:

We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.

We also know that a straight line angle measures 180°.

It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.

Therefore,

9x° + 72° = 180°

9x° = 180° - 72°

9x° = 108

divide both sides by 9

9x/9 = 108/9

x = 12

Therefore, the value of x = 12.

Answer:

[tex](4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} [/tex]

Answer:

[tex]f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}[/tex]

Answer:

i believe the y intersept is -4

Answer:

See below.

Step-by-step explanation:

a. Geometric

b. Arithmetic

c. Neither

d. +4

e. 5

f. 2, 4, 6, 8

g. 2, 4, 8, 16

Answer:

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

−

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

−

7

x

+

5

.

Tap for more steps...

2

(

x

−

7

4

)

2

−

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

−

7

4

)

2

−

9

8

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

−

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

−

9

8

)

Step-by-step explanation:

Answer:

B. 25

Just use Photomath in those questions

Answer:

B) N=25

Step-by-step explanation:

the distance between -53 and -28 is positive 25

Answer: y = -2/3x + 5/3

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Square root of 10 is 3.16

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

The cotangent of [tex]m\angle B[/tex] can be represented as [tex]\frac{1}{\tan (m\angle B)}[/tex]. Using trig rules for a right triangle, we can write the following equation:

[tex]\tan B=\frac{24}{7}[/tex].

Therefore, the cotangent of [tex]m\angle B[/tex] is:

[tex]\cot B = \frac{1}{\tan B}=\frac{1}{\frac{24}{7}}=\fbox{$\frac{7}{24}$}[/tex].

The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]. for understanding check the calcualtiion here ,

From the given information ,

In ΔABC, the measure of ∠C=90°, CB = 7, BA = 25, and AC = 24

Contangent of any angle is equal to adjacent side divide by opposite side

Cotangent of an angle is a relationship found by dividing the length of  the side adjacent to given angle  by the length of side opposite to the given angle.

The side opposite to angle B is CB  and side opposite of angle B is AC

cot (B) = adjacent side / opposite side

[tex]cot(B)=\frac{CB}{AC}[/tex]

CB = 7, BA = 25, and AC = 24

[tex]cot (B)=\frac{7}{24}[/tex]

The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]

Learn more information about 'cotangent ' here

brainly.com/question/10430279

Answer:

56 units long

Step-by-step explanation:

the whole line is 73 units long, and CB is 17 units long. You would subtract 17 from 73 and then you have the missing value which is 56. (or in other words 17 plus what equals 73).

Answer:

multiply and see what you get

Answer:

2.)  "My parents will be very disappointed in me."

Step-by-step explanation:

This is the only explanation that will get you out of any bad situations.

1.) I'll try it once: if you try it once, you'll be hooked on it forever.

2.) Correct answer: Only way to get out of a situation like this affectively.

3.) My friends and I prefer weed: This would still suggest you still use drugs.

(I think it's smart to post it in math! :)

Answer:

18y+30y+14y+150°+142=540

62y+292=540

subtract 292 from both sides

62y= 248

divide 62

y=4°

Answer:

[tex] \frac{30}{100} = \frac{33}{x} \\ 30x = 3300 \\ x = \frac{3300}{30} = 110[/tex]

Answer:

y = 7/4x

Step-by-step explanation:

All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.

The equation would then be y = 7/4x

Answer:

C. y=5x+14

Step-by-step explanation:

Solve using this formula: y=mx+b

4 = (5) (-2) + b

4 = -10 + b

+10  +10

14 = b

Then you will plug in what you found for b in:

y=5x+14

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

Answer:

y+4+−4=−6x−36+−4

y=−6x−40

y=−6x−40

slope is -6

y intercept is -40

Answer:

y = -6x - 40

in standard form its:

y + 6x = -40

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles

Answer: The total cost of their meal with tax= $23.49

Step-by-step explanation:

Given: Cost of the three dinners before tax = $21.65

Tax = 8.5%

Tax amount = 8.5% of ( Cost of the three dinners before tax)

= (0.085) x 21.65        [0.085 = 8.5%]

= $1.84025 ≈ $ 1.84

The total cost of their meal with tax = Cost + Tax amount

= 21.65 + 1.84

= $23.49

Hence, the total cost of their meal with tax= $23.49

9)

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y =  -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

Answer:

The values of a and b are:

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

From the diagram of the line graph, we can fetch the two points

Determining the slope between (0, 2) and (-1, 0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]

[tex]a=\frac{0-2}{-1-0}[/tex]

[tex]a=2[/tex]

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2         ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

Answer:

No, it is A for the first question and C for the last one

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1/9= .111111111111 repeating

Answer:

y  =  − 2 x  +  5

Step-by-step explanation:

Try this

Answer:

y = −2x+5

Step-by-step explanation:

lmk if you need to see the work shown