Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es

Answer:

x = 4

Step-by-step explanation:

3x÷2=6

Multiply both sides by 2.

3x = 12

Divide by 3.

x = 4

Answer:

x=4

Step-by-step explanation:

To solve [tex]\frac{3x}{2}[/tex]=6 you need to isolate the variable. To do this you need to do the opposite operation of all of the constants.

First, multiply both sides by 2,

[tex]\frac{3x}{2}[/tex]*2=6*2

3x=12

Then divide both sides by 3,

3x/3=12/3

x=4

Answer:

180,000

Step-by-step explanation:

You can multiply 9 * 2 =  18 then add all the 4 0000s

therefore, your answer is 180,000

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

To express the product of 900 and 200 in scientific notation, we need to multiply the two numbers and then write the result in the form of

a x [tex]10^n[/tex], where a is a number between 1 and 10 and n is an integer.

So,

900 x 200 = 180000

To express 180000 in scientific notation, we can write it as:

1.8 x [tex]10^5[/tex]

Therefore,

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

Learn more about scientific notation here:

https://brainly.com/question/18073768

#SPJ3

Answer: The wholesale cost of the bike = $100

Step-by-step explanation:

Let x = wholesale cost of the bike

As per given,

Selling price = cost price + (Mark up percent) x ( cost price)  (i)

Selling price of bike = $160

Mark up percent = 60% =0.60

Substitute values in (i) , we get

[tex]160= x+0.6x\\\\\Rightarrow\ 160=1.6x\\\\\Rightarrow\ x=\dfrac{160}{1.6}\\\\\Rightarrow\ x= 100[/tex]

Hence, the wholesale cost of the bike = $100

Answer:

F(-3) = -7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

F(x) = 4x + 5

F(-3) is x = -3

Step 2: Evaluate

Answer:

a = 14 ; b = 10

Step-by-step explanation:

ΔJKL ≅ ΔXYZ

The order of letters in triangle's "names" is important, it indicates the corresponding angles and sides.

∠J ≅ ∠X, ∠K ≅ ∠Y, ∠L ≅ ∠Z

segment JK ≅ segment XY,

segment KL ≅ segment YZ,

segment JL ≅ segment XZ

m∠Z = m∠L = 180° - (60° + 55°) = 65°

(4a + 9)° = 65°

4a = 65 - 9 ⇒ a = 14

XY = JK = 24 units

3b - 6 = 24 ⇒ b = 10  

Answer:

Your answer is 468

Step-by-step explanation:

390% of 120 = 468

Answer:

The new price of the couch is $960

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

X can only have 1 input buy Y can have many

Answer:

$13

Step-by-step explanation:

For the equation, m will be 2.50 and b will be 3.  This is because 2.50 will change as she plays more games.  The 3 will stay the same no matter how many games she plays.

C = 2.5x + 3

To find the cost to bowl four games, plug 4 into x and solve for C.

C = 2.5x + 3

C = 2.5(4) + 3

C = 10 + 3

C = 13

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

Answer:

Yes they are the same i know this because for every 10 girls or boys there are 4 who try out for the team. so for every 10 Boys or Girls there are 4 that will try out for the team. For those wondering the ratio is 4:10

Step-by-step explanation:

Answer:

Yes, when simpilfied or written as a fraction they are equal

Step-by-step explanation:

12:30 = [tex]\frac{12}{30\\ \left \\\}[/tex] = [tex]\frac{4}{10\\}[/tex]

16:40 = [tex]\frac{16}{40}[/tex] = [tex]\frac{4}{10}[/tex]

Step-by-step explanation:

< A = < D

3x_10 = 2X+10

X=20

Answer:

donald trump can su*k my d*ck

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

2 yards = 72

10.80 / 72 = 0.15

1 yard is 36 inches. 2 yards is 72 inches. The question wants you to divide $10.80 into the inches that represent the yards. $10.80 / 72 = $0.15

Step-by-step explanation:

so first you would ave to find the  unit rate,so 25.65/9=$2.85 then you would multiply 2.85*2 for the other 2 that she broke. You would get $5.70 add that to the 25.65 you  would get $31.35. the two panes of glass=$5.70 and altoger with the two pans of glass you would get $31.35

Answer:

0 I think

Step-by-step explanation:

0 solutions because 5x will cancer each other making de solutions undefined

Answer:

I believe it is A.

Let me know if this helps!

Answer:32

Step for step explanation:

Step-by-step explanation:

This graph shows linear

y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

Answer:

points-

(0,2)

(5,3)

(10,4)

I hope this is good enough:

Answer:

Step-by-step explanation:

points-

(0,2)

(5,3)

(10,4)

Answers (all in complete sentence):

12. A linear function because it goes at a constant rate of change.

13. A linear function because it goes at a constant rate of change.

14. A nonlinear function because it doesn’t go at a constant rate of change.

15. a. The missing y-value is 4.20 that makes the table represent a linear function.

     b. y=1.4x is a linear funcation that represents the cost y of x pounds of seeds.

16. The table represents a nonlinear function because the change in the wavelength, x divided by the change in the frequency, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.

17. The table represents a nonlinear function because the change in the height, x divided by the change in the steps, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.

Hope this helps and answers your questions :)

Answer:

slope = 2

y-intercept= -4

Step-by-step explanation:

slope = y2- y1/ x2-x1

slope = 4-(-4) / 4-0

slope = 2

using (4,4) for (x,y)

y= mx+b

4= 2(4)+b

b= -4

Answer:

I would say A because the real answer is 23.477

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

48.5%

Step-by-step explanation:

Given parameters:

Distance after first half = 50.5yd

Distance at the end of game = 75yd

Unknown:

Percent increase in the number of yards he carried = ?

Solution:

To find the percent increase;

  Percent increase  = [tex]\frac{change in distance}{distance at half time}[/tex] x 100

  Percent increase  = [tex]\frac{75 - 50.5}{50.5}[/tex] x 100  = 48.5%

Answer:

it is A and C

Step-by-step explanation:

If you do the math and equations of all of these, you will find that:

10 is 2.5x bigger than 4 (Side lengths DE and BA)

and if we do the equation:

x · 2.5

(the x variable stands for the different side lengths of triangle ABC)

it will equal the side lengths of the bigger triangle.

and when I finished doing that, I multiplied all of the answers to find the area:

12.5 x 7.5 x 10 which altogether is 937.5

none of the other answers for the total of the triangle add up to be that, but side length EF is 7.5, which I used to get my total answer of 937.5.

So the answer is A and C

1 1/2

Because I divided them and I got 1.5 then turned 1.5 into a simplified fraction.

Answer:0.0499

Step-by-step explanation:

Let x be a random variable that represents the salary for a data scientist.

Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]

standard deviation [tex]\sigma=\$10503[/tex]

Sample size : n= 31

The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]

Hence, the required probability = 0.0499.