Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.


Can you conclude that triangle GHF is congruent to triangle GJK? Explain.



yes, by ASA


yes, by AAS


yes, by AAA


not enough information given



the answer is D

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

Depreciation is a term used to indicate the decreasing value of an asset over time due to use, unfavorable market conditions and so on.

Initial amount of the car = 15700 dollars

Depreciating percent = 7.5% = 7.5/100 = 0.075

Final amount = 10100 dollars

Number of years taken to depreciate the value of the car to 10100 dollars can be found by the formula,

A = P(1 + r)ⁿ

where A = 10100 dollars, P = 15700 dollars, r = -0.075.

10100 = 15700 (1 - 0.075)ⁿ

10100 / 15700 = (1 - 0.075)ⁿ

0.6433 = (0.925)ⁿ

Taking logarithm on both sides,

㏒ 0.6433 = ㏒ (0.925)ⁿ

We have the power rule for logarithms, ㏒ (mⁿ) = n ㏒(m)

㏒ 0.6433 = n ㏒ (0.925)

n = ㏒ 0.6433 / ㏒ (0.925)

n = 5.658 ≈ 6 years

Hence almost 6 years will be taken to depreciate the value of the car to 10100 dollars.

Learn more about Depreciation here :

brainly.com/question/14682335

#SPJ3

Answer:

-2x^2 +6x +4

Step-by-step explanation:

3x^2+8x-7 -  (5x^2+2x-11)

Distribute the minus sign

3x^2+8x-7 -  5x^2-2x+11

Combine like terms

3x^2 - 5x^2+8x -2x+11-7

-2x^2 +6x +4

Answer:

d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

Step-by-step explanation:

Explanation:-

Given  polynomial equation  

                   ⇒        - x⁵ + 9 x⁴ - 18 x³

                    ⇒     - x³ ( x² - 9 x + 18 )

                    ⇒    - x³ ( x² - 6 x  - 3 x + 18)

                    ⇒    - x³ ( x(x -  6)  - 3( x - 6))

                   ⇒     - (x-0)³ (x-6)(x-3)

∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

Answer:

The equation is y=5x+3. If she made 48 dollars, she babysat for 9 hours.

Step-by-step explanation:

y= $48

48=5x+3

48-3=45

45=5x

45/5=9

x=9

To plot on graph, put one point at point (0,3), then, go up 5, over 1, and plot another point. Keep doing that until you have a few points and then use a ruler ot connect the dots.

Answer:

A. [tex]x^\frac{5}{3}y[/tex]

Step-by-step explanation:

Answer:

3 m is the displacement

Step-by-step explanation:

because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3

The displacement of the cart will be "3 m".

Towards the right,

The distance covered by the cart is:

= 2 m

Towards the left,

The distance covered:

= 1 m

hence,

→ [tex]Total \ distance = Sum \ of \ the \ distances[/tex]

                           [tex]=2 +1[/tex]

                           [tex]=3 \ m[/tex]

So the above answer is correct.

Learn more about the displacement here:

https://brainly.com/question/17251554

Answer: 450 ft.

Step-by-step explanation:

h = 2250 - 150*12

h = 2250 - 1800

h = 450

The height after 12 min is 450 ft

Answer:

450

Step-by-step explanation:

-2250  - 150 x 12

-2250 -  -1800

-450 put in postive

-276

Hope this helps

Answer:

6 inch

Step-by-step explanation:

half the diameter to find the length

The outer edge length of one piece of the cut circle is  3π / 2 inches

The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.

The circle representing the pizza is 12 inches in diameter. The radius is half of the diameter. Therefore,

radius = 12 × 0.5 = 6 inches

The circle is cut into 8 congruent pieces. The length of the outer edges of any one piece of the circle can be calculated as follows;

circumference of the circle = 2πr

circumference of the circle = 2 × π × 6 = 12π inches

Now let's divide it into 8 part.

edge length of one piece of the circle = 12π / 8 = 3π / 2

learn more on diameter here: https://brainly.com/question/231870

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me...

So the value of X is 50 degree

Look at the attached picture

Hope it will help you

Good luck on your assignment...

Answer:

You simply multiply the second equation by -4/21

Answer:

There is no x in the second equation

Answer: To fill the rectangular prism, 4 cubes are needed.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the prism and divide it by the volume of one cube:

Volume of a rectangular prism = Length x width x height

V P = 6x3x412 = 7,416 cm3

Volume of a cube = side length^3

VC = 12^3 = 1,728 cm3

Finally;

Volume of the prism / volume of one cube = 7,416 /1,728 = 4.29 = 4 cubes

Feel free to ask for more if needed or if you did not understand something.

Answer:

I'm pretty sure he is correct but I have not completed the test quite yet. Refer to him if you want.

Step-by-step explanation:

Answer: 41821.19424

Step-by-step explanation:

Answer:

(39, 15, and 36)

Step-by-step explanation:

If your talking about the first number being the hypotenuse, then the answer  would be correct

Answer:

Step-by-step explanation:

[tex]\frac{6x^{3}-18x^{2}-12x}{-6x}=\frac{6*x^{3}-6*3*x^{2}-6*2x}{-6x}\\\\=\frac{6x*[x^{2}-3x^{1}-2]}{-6x}\\\\=\frac{x^{2}-3x-2}{-1}\\\\\\=-x^{2}+3x+2[/tex]

Answer:

-2 and 7

the only factors for 14 is 1,14 and 2,7 so you just see which has a difference of 5.

Hope this helps

Step-by-step explanation:

Answer:

(10, 2)

Step-by-step explanation:

To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):

(x + 6, y + 2)

(4 + 6, 0 +2)

(10, 2)

Answer:

Step-by-step explanation:

[tex]Midpoint (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\(\frac{x_{1}-2}{2},\frac{y_{1}-2}{2})=(4,0)\\\frac{x_{1}-2}{2}= 4 ; \frac{y_{1}-2}{2}=0\\\\x_{1}-2=4*2 ; y_{1}-2=0\\\\x_{1}-2= 8 ; y_{1}-2=0\\\\x_{1}=8+2 ; y_{1}=0+2\\\\x_{1}=10 ; y_{1}=2\\[/tex]

Endpoint  ( 10, 2)

Answer:

47 miles per hour

Step-by-step explanation:

Answer:

The unit rate for the amount of miles driven every hour is is 1:47

Step-by-step explanation:

188 / 4 = 47

282 / 6 = 47

376 / 8 = 47

470 / 8 = 47

Note that the symbol / is the equivalent of a division sign in math.

Answer:

840[tex]cm^{2}[/tex]

Step-by-step explanation:

8×6×15=720

5×6×4=120

720+120=840

Answer:

V= 840cm^3,   V=800cm^3

Step-by-step explanation:

First you want to calculate the volume of the entire imaginary prism, 12×15×6

=1080,

afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.

12-8=4            5-15=10

Now calculate the volume of the bite, 4×10×6

=240

Now take the bite out of the sandwich, 1080-240

= 840

Follow the same steps, though this time the sides of the "bite" are given.

10×12×8

= 960

4×5×8

= 160

960-160 = 800 cm

Answer:

105

Step-by-step explanation:

The interior angles must sum to 360

360-91+82-82 = 105

Answer:

21

Step-by-step explanation:

Equation of the given line y = 15x + b.

Points passing through the above line (6.4, 117) and (6.6, 120)

If these point pass through the given line.

These point should satisfy the equation.

plugging in value of one of the point (6.4, 117)  in the line y = 15x + b

we have

117 = 15*6.4 + b

=> 117 = 96 + b

=> 117 - 96 = b

=> b = 21

Thus, value of b in the given equation is 21.

Answer:

21

Step-by-step explanation:

When x = 6.4, y=117, therefore

15*6.4 + b = 117

b = 117 -  96 = 21

Also, I got it right on ed

Answer: -7

Step-by-step explanation:

-3x - 5 = 16 (add 5 to 16)

-3x = 21 (divide by -3)

x = -7

Answer:

-7

Step-by-step explanation:

-3x-5=16

add 5 to both sides

-3x=21

divide both sides by -3

x=-7

Answer:

Area = 36 sq. units

Step-by-step explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]

Put in the numbers above for the unknowns and you will get this:

A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]

Simplify:

A= [tex]\frac{1}{2}(4)(18)[/tex]

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

Answer:

36

Step-by-step explanation:

top base= B(x)-A(x)= 10-3= 7

bottom base= C(x)- D(x)= 12-1= 11

height= A(y) - D(y) = B(y)- C(y)= 5-1=4

Area= 1/2(7+11)*4= 36

Answer:

Part A: yes . Part B: minus 24

Step-by-step explanation:

Part A

8x + 8 = 56

8x = 56-8

8x = 48

x = 48 / 8

x = 6 , YES!

Part B

Suppose x = 9 and find y:

8(9) + 8 + y = 56

80 + y = 56

y = 56 - 80

y = -24

So we have to add -24 to the equation. The new equation: 8x + 8 - 24 = 56

Answer:

nope

Step-by-step explanation:

lol this is a joke dont take it srsly

Answer:

<b = 35

Step-by-step explanation:

Complementary angles add to 90 degrees

a + b = 90

55 + b = 90

Subtract 55 from each side

55+b-55 = 90-55

b = 35

Answer:

<b=35

Step-by-step explanation:

Complementary means 90 degrees

and 90-55= 35 degrees

[tex] \frac{24}{54} = \frac{4}{9} \\ we \: have \: to \: cancel \: with \: 6 \\ \frac{4}{9} = \frac{4}{9} [/tex]

Answer:

$23,668.50

Step-by-step explanation:

Median is just the middle

Answer:

proper answer pls

Step-by-step explanation:

Steps:

Question 1:

Step 1: Multiply both sides by h+0.5.

Step 2: Factor out variable f.

Step 3: Divide both sides by h^2+0.5h.

Question 2

Let's solve for g.

Step 1: Divide both sides by h.

Answers:

1: f=45h+42.5/h²+0.5h

2: g=16.5h+53.25/h

Please mark Brainliest

Hope this helps.