Which triangles are congruent in the diagram?

Answer:

8 pounds per tablespoon

Step-by-step explanation:

2 (3) = 6

48 (1/6) = 8

Answer:

8 pounds per tablespoon

Step-by-step explanation:

2 (3) = 6

Step-by-step explanation:

Answer:

After that????? Please ask me the full question please.

Thank you

Answer:

[tex]P=4x+10[/tex]

Step-by-step explanation:

Let

x -----> the length of Danielle's board in feet

y ----> the length of Tracy's board in feet

we know that

[tex]y=x+5[/tex] ----> equation A

The perimeter of the sandbox is equal to

[tex]P=2(x+y)[/tex] ----> equation B

substitute equation A in equation B

[tex]P=2(x+x+5)[/tex]

[tex]P=2(2x+5)[/tex]

[tex]P=4x+10[/tex]

Answer:

x + y ≥ 35 and 15x + 8y ≥ 350

Step-by-step explanation:

Mitch is packing books into boxes.

Each box can hold either 15 small books or 8 large books.

Now, given that Mitch needs to pack at least 35 boxes and at least 350 books.

Now, if x is the number of small book-boxes and y is the number of large book-boxes,

Then, we can write from the above conditions that

x + y ≥ 35.......... (1) and

{Since total number of boxes must be at least 35}

15x + 8y ≥ 350 .......... (2)

{Since the total number of books must be at least 350 and each large book-boxes contain 8 large books and each small book-boxes contain 15 small books}

Therefore, the equations (1) and (2) are the required inequality equations that model the situation. (Answer)

Answer:

[tex]\displaystyle \boxed{3\frac{1}{4}}[/tex]

Step-by-step explanation:

7n - 8 = 3n + 5

- 7n - 5 - 7n - 5

____________

[tex]\displaystyle \frac{-13}{-4} = \frac{-4n}{-4} \\ \\ 3\frac{1}{4} = n[/tex]

I am joyous to assist you anytime.

The width of plot of land is 13/8 kilometers.

Step-by-step explanation:

Area of rectangular plot = 52/96 square kilometers

Length of plot = 4/12 kilometers

Width of plot = w

Area of rectangle = length * width

[tex]\frac{52}{96}=\frac{4}{12}*w\\[/tex]

Multiplying both sides by [tex]\frac{12}{4}\\[/tex]

[tex]\frac{52}{96}*\frac{12}{4}=\frac{12}{4}*\frac{4}{12}w\\\\\frac{624}{384}=w\\\\\frac{13}{8}=w\\\\w=\frac{13}{8}[/tex]

The width of plot of land is 13/8 kilometers.

Keywords: rectangle, area

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Answer:

Option A that is [tex]99.34[/tex] is the correct choice.

Step-by-step explanation:

To find what percentage of carbon-14 is still remaining after [tex]55[/tex] years.

We have to pull the equation and instead of [tex]t[/tex] we will put the years in numbers that is [tex]t=55[/tex]

Lets see the equation.

[tex]C(t)=100.e^{-0.000121(t)}[/tex]

Now to find the carbon-14 percentage.

Putting the value of [tex]t[/tex] in years.

So

[tex]C(t)=100.e^{-0.000121(t)}[/tex] and [tex]e^{-0.000121(55)}=0.9934[/tex]

[tex]C(t)=100\times 0.9934 =99.34[/tex]

As mentioned that the function is already framed to find the percentage we need not to convert it or multiply with [tex]100[/tex].

So the percentage of C-14 remaining after [tex]55[/tex] years is [tex]99.34[/tex]

Option A is the correct choice.

Step-by-step explanation: In this problem, we are asked to find the volume of a box which means we use the formula for finding the volume of a rectangular prism.

To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.

Volume = length × width × height

Before plugging any numbers into our length, width, or height, first notice that we have dimensions in inches and feet. To make this easier, let's first convert the width which is 1.5 feet into inches. 1.5 feet is equal to 18 inches so now we are all set.

Since the rectangular prism has a length of 14 inches, a width of 18 inches, and a height of 7 inches, we can plug this information into the formula.

Volume = (14 in.) (18 in.) (7 in.)

Volume = 1,764 in.³

Therefore, the volume of the box is 1,764 in.³.

Answer:

12.

Step-by-step explanation:

The number of zeros to an equation is the highest power of the polynomial.

A quadratic equation whose highest degree is 2, has two solutions.

The equation f(x) = [tex]$ 3x^{12} - 17x^{8} + 11x^{4} - 6x + 23 $[/tex] will have 12 solutions (or zeroes) since the highest degree is 12.

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

For the 15th, term it will be

[tex]a_{15}=-3+(15-1)d\\53=-3+14d[/tex]

Adding 3 on both sides

[tex]53+3 = -3+3 + 14d\\56 = 14d[/tex]

Dividing both sides by 14

[tex]\frac{56}{14}=\frac{14d}{14}\\d=4[/tex]

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

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Answer:

C) 4 is the correct answer

Answer:

A power of 10 is the number 10 multiplied by itself by the number of times indicated by the exponent.When the exponent is greater than o it is followed by zeros

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the number with a power 10 is a multiplication of that number 10 times.

1024 can be a number with power 10

i.e [tex]2^{10}[/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A number with power 10.

This means,

The value of the number with a power 10 is a multiplication of that number 10 times.

i.e

[tex]2^{10}[/tex] = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

[tex]2^{10}[/tex] = 2³ x 2³ x 2³ x 2 = 8 x 8 x 8 x 2 = 1024

Similarly,

1024 can be a number with power 10

Thus,

The value of the number with a power 10 is a multiplication of that number 10 times.

1024 can be a number with power 10

i.e [tex]2^{10}[/tex]

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The solution for C in terms of D and W is:

[tex]C = \frac{W+4D}{3}[/tex]

Step-by-step explanation:

Solving a formula for a given variable means to isolate the variable on one side of the equation

Given equation is:

[tex]W = 3C-4D[/tex]

We have to solve for C in terms of W and D

Adding 4D on both sides

[tex]W+4D = 3C-4D+4D\\W+4D=3C[/tex]

Dividing both sides by 3

[tex]\frac{W+4D}{3}=\frac{3C}{3}\\C = \frac{W+4D}{3}[/tex]

So,

The solution for C in terms of D and W is:

[tex]C = \frac{W+4D}{3}[/tex]

Keywords: Formula, Variables

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Answer:

Add all pounds lost during 3 months. 3+7+4= 14. 4 lbsx4 months =16. 16-14=2. 2 lbs must be lost during the 4 month to stay consistent with the 4 lbs weight loss per month.

Step-by-step explanation:

To maintain an average weight loss of 4 pounds per month, you must lose 2 pounds in the fourth month. This calculation is obtained by subtracting the total weight already lost (14 pounds in three months) from the target total weight loss (16 pounds in four months).

The question is asking how much weight you need to lose in the fourth month to maintain an average weight loss of 4 pounds per month, given that you've lost 3, 7 and 4 pounds in the first three months respectively.

First, let's calculate the total weight you've lost so far: 3 pounds + 7 pounds + 4 pounds = 14 pounds lost in the first three months.

Next, calculate how much weight you would need to lose in total over four months to maintain an average loss of 4 pounds per month: 4 months * 4 pounds per month = 16 pounds.

Now, subtract the total weight you've already lost from the target total weight to find out how much weight you need to lose in the fourth month: 16 pounds - 14 pounds = 2 pounds. Therefore, you need to lose 2 pounds in the fourth month to maintain an average monthly weight loss of 4 pounds.

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Answer:

36.00 ÷ 54 = 36 ÷ 54

Step-by-step explanation:

Decimal Form:

0.66666666...

Fraction Form:

2/3

Percent form:

66.6...%

I hope this helps!

Answer:

66%, 2/3 or 0.66666...7

Step-by-step explanation:

Dividing 36.00 by 54 is the same as "36 ÷ 54". Now to solve:

36 ÷ 54 = 0.66666...7

There are different ways to show this such as:

66%, 2/3 and 0.66666...7

Hope this helps,

♥A.W.E.S.W.A.N.♥

P.S. The "..." in 0.66666...7 just mean there are more 6s.

You can give 5accsdeletedalready Brainliest!

Answer: 3

Step-by-step explanation:

Given : A manufacturer of window frames knows from past experience that 15 per cent of the production will have some type of minor defect that will require adjustment.

i.e. the proportion of production will have some type of minor defect that will require adjustment. : p=0.15

If n=20 windows are selected at random , then the expected number of window frames have minor defects = np

[tex]=20\times0.15=3[/tex]

Hence, the expected number of window frames have minor defects =3

5x + 3x + 7x = 180

15x = 180

x = 12

I = 5(12) = 60

M = 3(12) = 36

S = 7(12) = 84

Check: 60 + 36 + 84 = 180

Answer:

∠I=75° , ∠M=45° ,∠S=105°, ∠E=173.5°

Step-by-step explanation:

given ∠I=5X,∠M=3X,∠S=7X, ∠E=128.5+3X

IN TRIANGLE IMS

∠I+∠M+∠S=180°

5X+3X+7X=180°

12X=180°

X=15°

HENCE ∠I=5X=[tex]5\times15°[/tex]

            ∠I=75°

      ∠M=3X=[tex]3\times15°[/tex]

     ∠M=45°

∠S=7X=∠[tex]7\times15°[/tex]

∠s=105°

∠E=128.5+3X=128.5+45=173.5°

∠E=173.5°

Answer:

8.80

Step-by-step explanation:

Final answer:

To round 8.795 to the nearest cent, look at the third decimal place. Since it's 5 or greater, round up the second decimal place to get 8.80.

Explanation:

When rounding 8.795 to the nearest cent, the focus is on the hundredth's place, since a cent is one hundredth of a dollar. You look at the digit in the thousandth's place to decide whether to round up or down. The digit in the thousandth's place is a 5, which means we follow the rule to round up since it is greater than 5. Thus, rounding 8.795 to the nearest cent gives us 8.80.

Answer: 25

Step-by-step explanation: This problem states that the sum of four consecutive whole numbers is 94 and it asks us to find the largest number.

Three consecutive whole numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our four consecutive whole numbers is 94, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 94

We can combine the x's on the left side of the equation and combine the numbers as well.

4x + 6 = 94

      -6    -6   ← subtract 6 from both sides of the equation

4x = 88

÷4    ÷4

X = 22

X ⇒ first number   = 22

X + 1 ⇒ second number   = 23

X + 2 ⇒ third number   = 24

X + 3 ⇒ fourth number   = 25

Therefore, the largest number would be 25.

Answer:

5n-28

Step-by-step explanation:

28-6n+7(2n-8)-3n

28-6n+14n-56-3n

28+8n-56-3n

28-56+8n-3n

-28+5n

5n-28

Answer:

Brett is 62 years old,    Mark is 80 years old     and Carl is  70 years old

Step-by-step explanation:

First; we let Brett age to be  = x

let  Mark age to be = y

let Carl age to be = z

From the question;

since Brett is 18 years younger than Mark, then Brett age is ;

x =  y - 18

Also, since  Carl is 10 years older younger than Mark, then Carl age is:

z   =   y-10

Also, from the question says  the sum of the ages of Brett, Mark and Carl is 212

This means when you add all their ages together, you will have 212

so;         x   +   y  +  z    =   212

From the equation above, we can substitute x with y-18 and then substitute z with y-10

y-18   +   y     +     y-10     =  212

3y   -  28    =    212

add 28 to both-side of the equation

3y   - 28   + 28   =    212  +   28

3y    =  240

Divide both-side of the equation by 3

3y/3   =   240/3

y   =   80

But x = y -18   =   80 -18  =   62

Also;   z =  y - 10   =  80  -10  =   70

Since x represent Brett age, then Brett's is 62 years old

Also, y represent Mark's age, therefore Mark is 80 years old

Finally z represent Carl's age, therefore Carl is 70 years old.

Answer:

$5

Step-by-step explanation:

10% = 10/100 = 1/10.

1/10 of 50 = 5

Answer:

Proved

Step-by-step explanation:

Figure two triangles which are congruent to each other has been attached

Proof :

1)BC= CD ( given )

2) AC= CE ( Given)

3) ∠ACB= ∠ECD (  vertically opposite to each other)

therefore, ΔABC≅ΔDCE ( By SSA postulate)

Now, CF and CG be medians on the sides Ab and DE of the Δ's ABC and DCE respectively

⇒CF= CG  because of CPCTC that is corresponding parts of congruent triangles are congruent.

Therefore,  congruent triangles have congruent corresponding medians.

There are 20 players are on the team.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

On the middle school baseball team, 8 players are sixth graders.

And, Of the players, 40% are sixth graders.

Now,

Let number of players on the team = x

So, We can formulate;

⇒ 40% of x = 8

⇒ 40/100 × x = 8

⇒ 40x = 800

⇒ x = 800/40

⇒  x= 20

Thus, Number of players on the team = 20

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Final answer:

There are 20 players on the middle school baseball team in total, calculated by dividing the number of sixth graders (8) by the percentage that represents sixth graders (40%).

Explanation:

Based on the information given, if 40% of the players on the middle school baseball team are sixth graders, and there are 8 sixth graders on the team, we can calculate the total number of players on the team. We know that 40% is equal to 0.40 when expressed as a decimal. Thus, the equation to find the total number of players (T) is 0.40 * T = 8.

To find T, divide both sides of the equation by 0.40:

T = 8 / 0.40

T = 20

Therefore, there are 20 players on the team in total.

Answer: 1x = $8.06y

Step-by-step explanation:

thats honestly all i know..

Answer:

One solution since x=0

For this case we must find the solution set of the given inequalities:

Inequality 1:

[tex]3x + 10 <3[/tex]

Subtracting 10 from both sides of the inequality:

[tex]3x <3-10[/tex]

Different signs are subtracted and the major sign is placed.

[tex]3x <-7[/tex]

We divide between 3 on both sides of the inequality:

[tex]x <- \frac {7} {3}[/tex]

The solution is given by all values of x less than[tex]- \frac {7} {3}[/tex]

Inequality 2:

[tex]2x-5> 5[/tex]

Adding 5 to both sides of the inequality:

[tex]2x> 5 + 5\\2x> 10[/tex]

Dividing by 2 to both sides of the inequality:

[tex]x> \frac {10} {2}\\x> 5[/tex]

The solution is given by all values of x greater than 5.

Thus, the solution set is given by:

(-∞, [tex]- \frac {7} {3}[/tex]) U (5,∞)

ANswer:

(-∞, [tex]- \frac {7} {3}[/tex]) U (5,∞)

Answer:

Step-by-step explanation:

This can be modelled with the variable x to represent the "groups"

3x + 2

Multiplifcation means groups of.

3x is 3 times x, which is 3 groups of x.

The question 'Three groups of a number plus two' translates to the algebraic expression 3x + 2 in mathematics. Here, x represents the unknown number.

The question 'Three groups of a number plus two' pertains to algebraic expressions and equations. When you interpret the question as a mathematical equation, it represents the formula 3x + 2, where 'x' is a variable representing an unknown number. In this formula, 'Three groups of a number' corresponds to the component '3x', and 'plus two' is the mathematical operation adding 2 to this number. This is the fundamental concept behind forming algebraic expressions and equations.

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Answer:

The equations that represent the situation are:

2y+x=5

5x-y=3

Answer:

2y+x=5

5x-y-3

Step-by-step explanation:

Two times of the larger number which is y is 2y added to the smaller number x is equal to 5 . Which is 2y+x=5

The difference of five times the smaller number and larger number is 5x-y

And the resulting answer is 3

ie..5x-y=3 , when the 3 crosses to the other side it becomes 5x-y-3=0

hence,the equation 5x-y-3