Use Distributive Property to write an equivalent expressions 7(x+6)

Answer:

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

Step-by-step explanation:

I've gone ahead and labeled some points.

There is a formula that says PA*PB = PC*PD, this is what you use.  If you would like me to show why this works I would be happy to.

So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

EDIT: Here is the explanation for the formula

If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle.  Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.

This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.  

This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number

[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]

Answer:

I think of having straight line

Step-by-step explanation:

Given

7x + 1 = 9x - 7

9x - 7x = 1 + 7

2x = 8

x = 8 / 2

x = 4

Hope it will help :)❤

Answer:

6x - 16 y -6

Step-by-step explanation:

okay so first you have to distribute the 2 to the number inside the parenthesis

2(3x-8y) -6

you do 2 x 3x, which is 6x

then 2 x -8y, which is -16y

Now the new equation is 6x - 16 y -6

There you go!!

Answer:

x=4.4

Step-by-step explanation:

9x+2 = 4x+ 24

5x+2 = 24

5x = 22

5x/5 = 22/5

x=4.4

i got one solution scream at me if im wrong

Answer:

( − 2 , 6 )

x = − 2

y = 6

Step-by-step explanation:

Answer: 15.1

Step-by-step explanation: subtracting a negative (ex. 1 - (-1)) just change to addition (prev. ex. would be 1+1) (also adding decimals is like adding normal numbers just remember the place values

Answer: n= −3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(4n+3)=−72

(8)(4n)+(8)(3)=−72(Distribute)

32n+24=−72

Step 2: Subtract 24 from both sides.

32n+24−24=−72−24

32n=−96

Step 3: Divide both sides by 32.

32n/32 = −96/32

n=−3

Answer:

n= -3

Step-by-step explanation:

32n+24=-72

(subtract 24)

32n=-96

(divide by 3)

n=-3

Answer:

6. 18

7. 8

do the rainbow method

Answer:

The GCF of 36 and 90 is 18

The GCF of 16, 24, and 40 is 8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

16 1/4 ÷ 3.25

16×4=64+1=65

65/3.25=20

Answer:

The answer is 5.

Step-by-step explanation:

you do this by converting the decimal 3.25 into a fraction. This would equal   3 1/4 (simplified) now since that both fractions have the same denominator we can solve by dividing the fractions.  

Answer:

z=19

Step-by-step explanation:

Answer:

I think 1 is negative, 2 undefined, 3 negative, 4 positive

Step-by-step explanation:

Answer:

1. zero

2. undefined

3. negative

4. positive

Step-by-step explanation:

She has 1050

400 of that is the DB fee

Now she has 650 dollars

650/50 per person is 13

She can have 13 people

Answer:

Let's say that the base of triangle a is 2 and the height is 3. That makes the base and height of triangle b 4 and 6. To find the area of a triangle, use the formula 1/2 multiplied by height multiplied by base. So the area of triangle a is 2 multiplied by 3 multiplied by 1/2 giving us 3. The area of triangle b is 1/2 multiplied by 4 multiplied by 6 giving us 12. Since 12 divided by 3 is 4, the area of triangle b is 4 times greater than the area of triangle a.

Answer: Area= 10

Step-by-step explanation:

The length is 2 the width is 5 2x5 equals 10 :D

Answer:

If its in inches, than the area is 10.

Step-by-step explanation:

Answer:

6/4

Step-by-step explanation:

up 6 and over 4

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　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　 　°·　　                          

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　 　°·　　                           .　　　•　° ★　•  ☄

　　°　　　•　　.°•　　　 ✯　　　★　*　　　　　°　　　　 　°·　　                           .　　　•　° ★　•  ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Make a triangle to find c, the hypotenuse.

Using the Pythagorean Theorem:

a^2+b^2=c^2

4^2+6^2=c^2

16+36=c^2

52=c^2

7.211102550927=c

7.2~c

Answer:

A) A two-sample  z -test for a difference in population proportions

Step-by-step explanation:

To determine whether a difference in proportions is significant, the two-sample z-test for a difference in population proportions is the most appropriate method for the analysis.

The most appropriate method for analyzing the results is A. A two-sample z-test for a difference in population proportions.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter.

In this scenario, we have two different treatments (medication R and S) applied to two separate samples (150 cat owners each) and we want to determine if there is a significant difference in the proportion of cats with no fleas between the two groups.

This is a classic scenario for a two-sample z-test for a difference in population proportions, which tests the hypothesis that the difference in proportions between two independent populations is equal to zero.

Thus, a two-sample z-test for a difference in population proportions.

Hence, the correct answer would be option (A)

To learn more about the z-test statistic click here:

brainly.com/question/29692242

#SPJ6

Answer:

The answer is 148 or D

Step-by-step explanation:

The line has 180 degrees total, to find the answer you subtact 32 from 180. This leaves you with 148.

Answer: x = 148°

Step-by-step explanation: All supplementary angles equal 180°. So you subtract 32° from 180° (180°-32°) and get your answer.

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

Answer:

1.54

2.t greater or equal to -4

3.12>9

Answer:

2. t is less than or equal to -4.

3. 12+n

4. 40 10/21

5. 3/32 pounds

Step-by-step explanation:

If this answer has helped you, please mark as brainliest

Answer:

is there a photo ? or something

Answer:

I could be wrong, but I think it's D

9514 1404 393

Answer:

  yes

Step-by-step explanation:

If GH║FE, then ∆DEF ~ ∆DHG.

In similar triangles, corresponding sides have the same ratios.

The ratios of corresponding sides are ...

  DG/DF = DH/DE

  DG/(DG + GF) = 18/(18+36)

  (1/2GF)/((1/2GF +GF) = 1/3

  (1/2)/(3/2) = 1/3

  1/3 = 1/3

Corresponding sides are proportional. Angle D is congruent to itself, so ∆DEF ~ ∆DHG by the SAS similarity postulate. Angles DGH and DFE are therefore congruent and GH║FE.

Answer:

(7,2)

Step-by-step explanation:

Multiply the first equation by -3

(x-3y=1)  = -3x+9y=-3

Combine like terms with the new equation and the second equation

(-3x+9y=-3) + (3x-5y=11)   = 4y=8

Divide each side by 4

4y/4=8/4

y=2

Plug in 2 for y in any equation. It doesn’t matter which one

x-3(2)=1

Distribute

x-6=1

Add 6 to both sides

x-6=1

+6  +6

x=7

Answer: x = 7 y = 2

(7, 2)

Step-by-step explanation:

Multiply the first equation by -3 and the second by 1:

-3(x - 3y = 1)

1(3x - 5y = 11)

Becomes:

-3x + 9y = -3

3x - 5y = 11

Add the equations to eliminate x:

-3x + 9y = -3

3x - 5y = 11

4y = 8

Solve for y by dividing by 4:

4y/4 = 8/4

y = 2

Now we plug in y to the first equation:

x - 3 ( 2 ) = 1

x - 6 = 1

Add 6 to both sides:

x - 6 + 6 = 1 + 6

x = 7