What is 7200 in scientific notation?

Answer:

A=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

36/4=9

9*9=81

Answer:

Triangles ABD and CBD are congruent by the SSS Congruence Postulate

Step-by-step explanation:

AB = CB

AD = CD

and BD is the common side.

The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."

"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."

"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."

"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."

"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."

"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."

For given question,

We have been given triangles ABD and CBD.

B is the midpoint of line AC

⇒ AB = BC

For triangles ABD and CBD,

side AB = side CB                   ............(since, B is the midpoint of line AC)

side BD = side BD                   .............(common side)

side AD = side CD                  ............(measures 15 units each)

So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.

Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

The correct answer is option (a)

Learn more about SSS postulate of triangle congruence here:

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Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

  ∠MNR ≅ ∠PNR

  m∠MNR + m∠PNR = 180°

  2(m∠MNR) = 180°

  m∠MNR = 90°

  Therefore, ∠MNR and ∠PNR are the right angles.

  Since, QN divides ∠MNR in two parts,

  Therefore, ∠QNR will be an acute angle (less than 90°).

  ∠MNR + ∠SNR = ∠MNS

  90° + ∠SNR = ∠MNS

  Therefore, m∠MNS will be more than 90°.

    ∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

    ∠MNR ≅ ∠PNR

     ∠QNR ≅ ∠SNR

     ∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

     Since, NR bisects ∠QNS,

     ∠QNR ≅ ∠RNS

     m∠QNR = m∠RNS = 30°

     m∠QNR + m∠RNS = 30° + 30°

     m∠QNR + m∠RNS = 60°

     m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

     m∠QNP = m∠QNS + m∠SNP

     m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

     m∠QNP = 60° + (90° - 30°) = 120°        

The answer is 2(x+3)

hope it helps!

Answer:

2x + 6

Step-by-step explanation:

2(x +3)

2x +6

multiply x by 2=2x

multiply 3×2=6

2x +6

1.33/50

2.1 2/25

3.1 21/100

4.13/25

5.1 71/100

6.97/100

Answer:

A, C, E

Step-by-step explanation:

0.6 + 15b + 4 = 25.6

Let's solve the original equation for b.

15b + 4.6 = 25.6

15b = 21

b = 21/15 = 7/5

A.

15b + 4 = 25

15b = 21

b = 21/15 = 7/5

Equivalent

B.

15b + 4 = 25.6

0.6 was subtracted from the left side but not from the right side of the original equation.

Not equivalent

C.

3(0.6 + 15b + 4) = 76.8

Since 76.8 = 3 * 25.6, this equation was obtained by multiplying both sides of the original equation by 3.

Equivalent

D.

15b = 25.6

4.6 was subtracted from the left side of the original equation, but not from the right side.

Not equivalent

E.

15b = 21

b = 21/15 = 7/5

Equivalent

Answer: A, C, E

Answer:

$2,000

Step-by-step explanation:

Let the amount of money they want to raise be $20,000.

We are going to look for 10% of $20000 as shown:

10% of 20,000 = 10/100 * 20,000

= 0.1 * 20,000

= 2,000

Hence the 10% of the money they want to raise is $2,000

Note the the money the amount of money they want to raise was assumed.

Cost - 500

Marked Up - 250

Margin - 71.4286

MxCxMA= $1,750

This may seem confusing, but its $1,750 for the new price, and the equation is:

M= Marked

C= Cost

MA= Margin

The new price of the television is $1750.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A television that costs $500 is marked up 250%.

So, the new price is

= 500 + 250% of 500

= 500 + 250/100 x 500

= 500 + 1250

= $1750

Hence, the new price of the television is $1750.

Learn more about Percentage here:

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Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 98 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

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

y = mx+b

where m is the slope and b is the y-intercept

Given the function

c(x) = 18x -10

comparing with the slope-intercept form of the line equation

According to the function equation,

Assuming the total cost i.e. c(x) = $98

In order to determine the value of x, set c(x) = 98

i.e.

98 = 18x -10

switch sides

18x - 10 = 98

add 10 to both sides

18x - 10 + 10 = 98 + 10

18x = 108

Divide 18 to both sides

18x/18 = 108/18

x = 6

Therefore, if you can buy x = 6 if you pay 98 dollars.

Answer:

Step-by-step explanation:

in a right triangle a^2+b^2=c^2,

where a and b are the legs

where c is the hypothenuse

9^2= b^2+3^2

81-9=b^2

b^2=72

b=8.48

Answer:

Step-by-step explanation:

Givens

a = ?

b = 3

c = 9

Formula

a^2 + b^2 = c^2

Solution

a^2 + 3^2 = 9^2

a^2 + 9 = 81

a^2 = 81 - 9

a^2 = 72

Now the tricky part. Are you required to give the exact answer which is

a = √72 = 6√2

or should you give

a = √72 = 8.49

Answer:

400

Step-by-step explanation:

8 x 50 = 400

Answer:

400 files

Step-by-step explanation:

If each folder has 50 files, you would multiply the number of folders by the number of files. So it would be 50 x 8 which equals 400 files.

Answer:

(0, 4)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).

9514 1404 393

Answer:

  KL ≈ 5.3

Step-by-step explanation:

JL/JM = tan(51°)   ⇒   JL = JM×tan(51°)

KL/JL = cos(72°)   ⇒   KL = JL×cos(72°) = JM×tan(51°)×cos(72°)

KL = 14·tan(51°)·cos(72°) ≈ 5.3

Answer:

[tex]\dfrac{48}{4}=12[/tex]

Step-by-step explanation:

Given that:

Dylan plays basketball.

In the season, he scored 48 points in total in the first four games of the season.

To find:

The equation to represent the average number of points scored per game.

Solution:

Average is the term used to find one number which can be used to represent a list.

It is usually the mid value.

Average can be found by using the following formula:

[tex]\text{Average =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}[/tex]

Here, Sum of all the observations is the total score which is given as 48.

Number of observation is nothing but the number of games which is given as 4.

Therefore, the equation to find the average can be written as:

[tex]Average = \dfrac{48}{4}\\ \Rightarrow \bold{Average = 12}[/tex]

Answer:

5.5 min

Step-by-step explanation:

At time t=0 you have 72 grams

at time t = 22 min you have 4.5 grams.

Now

4.5/72 = (1/2)^(t/half-life)

and t=22, so

4.5/72 = (1/2)^(22/half-life)

taking log of both sides:

log(4.5/72)=(22/half-life)log(1/2)

solving for half-life gives half-life = 11/2 = 5.5min

Answer: 30

Step-by-step explanation:

Answer:

In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=0

y=%284%2F5%29%2A%280%29-7

y=0%2F5-7 Multiply

y=-35%2F5 Add

y=-7 Reduce

So here's one point (0,-7)

Now lets find another point

Plug in x=5

y=%284%2F5%29%2A%285%29-7

y=20%2F5-7 Multiply

y=-15%2F5 Add

y=-3 Reduce

So here's another point (5,-3). Add this to our graph

Now draw a line through these points

So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)

So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)

We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).

So we have one point (0,-7)

Step-by-step explanation:

Answer:

4/15 gallons of juice

Step-by-step explanation:

Total gallon you have = 3/5gallons

Amount consumed = 1/3 gallons

Amount left = Total gallons + Amount consumed

Amount left = 3/5-1/3

Find the LCM

amount left = (3)(3)-5(1)/15

Amount left = (9-5)/15

Amount left = 4/15

Hence 4/15 gallons of juice is left

Answer:

5=2x-6.5 +6.5

11.5=2x ÷2

5.75=x

Step-by-step explanation:

prove me wrong

Answer:

x = 3.5

Step-by-step explanation:

step 1:  add 6.5 to each side;  7 = 2x

step 2: divide each side by 2

x = 7/2 or 3.5

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

Answer:

Range: [-7, 2]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's y-values span from -7 to 2. Since both are closed dot, they are inclusive in the range:

[-7, 2] or -7 ≤ y ≤ 2

Answer:

A

Step-by-step explanation:

Because, you can increase or decrease the number of worker for each table but number of tables will be the same

Answer:

C the person above me is incorrect.

AStep-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

The first one is y = 8 and the second one is y = 4.

Step-by-step explanation:

You plug the numbers in for x and then solve the equations.

I ran out of time and it erased my work. Sorry.

Answer:

C. 19a + 11b

Step-by-step explanation:

Distribute into the parentheses.

3(5a + b) + 4(a + 2b)

= 15a + 3b + 4a + 8b

Add like terms.

15a + 3b + 4a + 8b

19a + 3b + 8b

= 19a + 11b

Hope that helps.

Hey there!

“Simplify 3(5a + b) + 4(a + 2b)”

FIRST you have to DISTRIBUTE

3(5a + b) + 4(a + 2b)

3(5a) + 3(b) + 4(a) + 4(2b)

3(5a) = 15a

3(b) = 3b

4(a) = 4a

4(2b) = 8b

“15a + 3b + 4a + 8b”

SECOND: COMBINE your LIKE TERMS

(3b + 8b) + (15a + 4a)

(3b + 8b) = 11b ⬅️ BACK number

(15a + 4a) = 19a ⬅️ FRONT number

ALL OF YOUR TERMS/NUMBERS ARE POSITIVE SO WE DON’T HAVE TO FIX ANYTHING

Answer: C. 19a + 11b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)