Given: FH ⊥ GH; KJ ⊥ GJ

Prove: ΔFHG ~ ΔKJG

Triangles F H G and K J G connect at point G. Angles F H G and K J G are right angles.

Identify the steps that complete the proof.

Answer: [tex]\sqrt{68}[/tex] units.

Step-by-step explanation:

The distance between points (a, b) and (c, d) is given by :_

[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Given points : (-10,-7) (-8,1)

Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]

[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]

Hence, distance between given points = [tex]\sqrt{68}[/tex] units.

Answer: C

Step-by-step explanation:

I assume you mean c to the power 5, c to the power 3, and c to the power 3. Well, c^5xc^3xc^3 is c^11. Here's why. When multiple terms that have exponents in them and have the same base are multiplied, you just have to add the exponents. Here's the logic behind this (I'm using another example). If you have 6^3x6^5, your answer will be 6^8 because this can be rewritten as (6x6x6)x(6x6x6x6x6). This is the same thing as 6^8. So, I hope this made sense and your answer will be c.

The requried, simplified expression of  [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex]. Option C is correct.

When we have a multiplication of powers with the same base, we can apply the rule of exponents that states: when multiplying powers with the same base, we add their exponents.

In this case, the base is 'c', and we have three terms: c^5, c^3, and c^3. To simplify the expression, we add the exponents:

[tex]c^5 * c^3 * c^3 = c^{5+3+3} = c^{11}[/tex]

So, the simplified form of the expression [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex].

In option b) [tex]3c^{11}[/tex], the coefficient of '3' indicates that we have three terms of [tex]c^{11}[/tex], which is not the case in the original expression.

Therefore, the correct answer is c) [tex]c^{11}[/tex], as we simplified the expression to a single term with the base 'c' raised to the power of 11.

Learn more about simplification here:

https://brainly.com/question/23509407

#SPJ2

Answer:

8 + 2t

In five years, 18 feet

Answer:

8 + 2(t)

Step-by-step explanation:

8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so

ex.

2 years pass

8 + 2(2) = 8 + 4 = 12ft

2ft per year, 2 years = 4

Answer:

9/16

Step-by-step explanation:

(5/8 * 2/2) - (1/16 - 1/1)

10/16 - 1/16

10-1//16 = 9/16

5/8 - 1/16 = 9/16

(5*16) - (1*8) / 8 * 16

80-8/ 128

72/128

72/8

128/8= 9/16

5/8 - 1/16 = 9/16

Answer:

x=-3/2y+2

y= y=−3x+6

Step-by-step explanation:

solve for x.

2x+3y=4

Add -3y to both sides.

2x+3y+−3y=4+−3y

2x=−3y+4

Divide both sides by 2.

2x/2= -3+4/2

x= -3/2 y+2

solve for y.

y+3x=6

Add -3x to both sides.

3x+y+−3x=6+−3x

y=−3x+6

Answer:

10.20 is the greater one

Answer:

10.20

Step-by-step explanation:

Becuase that has .18 more than 10.02. Hope this helps

Answer: 2x − 5y = 3

x − 3y = 1

(4, 1)

(5, 2)

(7, 2)

(9, 3)

Step-by-step explanation:

Answer:

y = -5x -8

Step-by-step explanation:

The equation is y = mx + b so just plug it all in

y = -5x + (-8)

which is

y = -5x -8

Answer:

I think the answer is 24.

Step-by-step explanation:

I think the answer is 24 because if the baseball player hit the bat and ran the base 3 out of 10 times, then you would multiply 8 x 3 to get 24 out of 80. I don't know if this is the correct answer, this is just what I think it may be.

Answer:

135

Step-by-step explanation:

m(abc)= m(abd) +m(dbc) = 65+60 =135

Answer:

51

Step-by-step explanation:

51×4=204

500-204=296

Answer:

14

Step-by-step explanation:

4^2 - 2(1)

16-2= 14

I hope this helped <3

Answer:

14

Step-by-step explanation:

plug in the values for x and y

if x = 4 then we have 4²- 2y

then it also says y = 1 so we now have 4²- 2(1)

4 squared is 16 and 2 times 1 is 2  

16 - 2= 14

Answer:

im from da fam round herrrr u either got the ps3 or the x box 3-60

lm.ao.

Answer:

3

Step-by-step explanation:

To find the slope of the line, you can use the formula rise/run.

Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,

Rise = 3

Run = 1

Now to plug this into our formula:

3/1 = 3

The slope of the line is 3.

Answer:

hello there mate

Step-by-step explanation:

Answer: It may possibly be SU

Step-by-step explanation:

Answer:

SU

Step-by-step explanation:

The triangles are reflections of each other (the same but mirrored).

So if you trace a line from point D to F, and do the mirrored motion on the other triangle, you get SU

Answer:

a is the right answer Congress passed the fair labor standards act to protect young workers

Answer:

32.01 ft

Step-by-step explanation:

Step one:

given data

Volume of 1207T ft3.

the radius is 6 ft

Step two:

The volume of a cone is given as

[tex]V=1/3 \pi r^2h[/tex]

substitute

1207= 1/3*3.142*6^2*h

1207= 37.704h

divide both sides by 37.704

1207/37.704= h

h= 32.01 ft

Answer:

9650

Step-by-step explanation:

Step-by-step explanation:

=(9.65×1000) grams

=9650grams

hope it helps.

Answer:

the second one, third one

Step-by-step explanation:

you can expand using the distributive property

Answer:

$99

Step-by-step explanation:

First, it was on sale for 10% off. 10% = 0.1 = 1/10. 1/10 of 100 is 10, so we subtract 10 (because 10% off) to get $90. Then, the sales tax, which we add, is 10%. 1/10 of 90 is 9, so we add 9 to 90 to get our total to be $99

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

Answer:

Step-by-step explanation:

The sum of 2 numbers is 49

x  +  y = 49

The second number is 15 less than the first number.

y = x - 15

Answer:1 over r to the power of 10 or C

Step-by-step explanation:

inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

Answer:

50%

Step-by-step explanation:

Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

Answer:

3. H

4.O

5.O

6.O

Step-by-step explanation:

Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)

Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)

Sorry I don't know how to do the second part but I hope this helps.

Answer:

The original cost is $130

Step-by-step explanation:

Step one:

given data

We are told that Rey paid $91 for a watch that was on sale for 30%

let the original cost be x

so that 30% off x= $91 --------not the word  OFF not OF

Required

the original cost x

Step two

hence

x- 30/100*x= 91

x-0.3x=91

0.7x= 91

divide both sides by 0.7

x= 91/0.7

x=$130

Answer:

4

Step-by-step explanation: