Which models can be used to solve the problem

Answer:

all sides are 7 units

Step-by-step explanation:

Since the triangle is equilateral then all 3 sides are equal in length

equate any 2 sides and solve for d

KL = LM

d + 2 = 12 - d ( add d to both sides )

2d + 2 = 12 ( subtract 2 from both sides )

2d = 10 ( divide both sides by 2 )

d = 5

KL = d + 2 = 5 + 2 = 7

LM = 12 - d = 12 - 5 = 7

KM = 4d - 13 = (4 × 5) - 13 = 20 - 13 = 7

The measures of the angles and side lengths are:

m∠ BED = 130°

m∠ BEA = 50°

x = 7

y = 16.4

BE ≈ 23

BC ≈ 34

8. m∠ BED

∠DEB and ∠BED are supplementary angles, so their measures add up to 180°.

Therefore, m∠BED = 180° - m∠DEB = 180° - 50° = 130°.

9. m∠ BEA

∠BEA and ∠DEB are vertical angles, so they have the same measure. Therefore, m∠BEA = m∠DEB = 50°.

10. x

We can use the fact that the sum of the angles in a triangle is 180° to find x.

In triangle ABE, we have ∠BAE + ∠ABE + ∠BEA = 180°.

Substituting the given values, we get (7x - 2)° + 80° + 50° = 180°.

Solving for x, we get 7x = 50, so x = 7.

11. y

We can use the fact that the measures of the angles in a triangle add up to 180° to find y.

In triangle BCE, we have ∠BCE + ∠BEC + ∠CEB = 180°.

We are given that ∠BCE = 20° (since ∠BDE = ∠BCE, and we found m∠BDE in part 8), and we can find ∠BEC using the fact that it is supplementary to ∠BEA (which we found in part 9).

Therefore, ∠BEC = 180° - 50° = 130°.

Substituting these values, we get 20° + 130° + ∠CEB = 180°.

Solving for ∠CEB, we get ∠CEB = 30°.

Now, we can use the fact that ∠CEB and ∠DEB are vertical angles to find that ∠DEB = 30°.

Finally, we can use the fact that the sum of the angles in a triangle is 180° to find y in triangle BCD.

We have ∠BCD + ∠CDB + ∠DBC = 180°.

Substituting the given values, we get 30° + 90° + (5y - 22)° = 180°.

Solving for y, we get 5y = 82, so y = 16.4.

12. BE

We can use the Pythagorean theorem to find BE in triangle ABE.

We have AB^2 = AE^2 + BE^2.

Substituting the given values, we get (5y - 22)^2 = (3y)^2 + BE^2.

Simplifying, we get 25y^2 - 220y + 484 = 9y^2 + BE^2.

Solving for BE^2, we get BE^2 = 16y^2 - 220y + 484.

Substituting the value of y that we found in part 11, we get BE^2 = 16(16.4)^2 - 220(16.4) + 484 ≈ 531.4.

Taking the square root of both sides, we get BE ≈ 23.

13. BC

We can find BC using the Pythagorean theorem in triangle BCE.

We have BC^2 = BE^2 + CE^2.

Substituting the values we found for BE and CE, we get BC^2 = 23^2 + (3y)^2.

Substituting the value of y that we found in part 11, we get BC^2 = 23^2 + 3(16.4)^2 ≈ 1163.

Taking the square root of both sides, we get BC ≈ 34.

The ratio of the triangle is 55/1.1, which is 50/1.

This means that the building is 50/1 = x/5

x = 250

The office building is 250 m tall.

The height of the office building is calculated using similar triangle ratios, by setting up a proportion between the tree's dimensions and the building's shadow, and solving for the building's height to get 250 meters.

To calculate the height of the office building using similar triangle ratios, compare the tree's height and shadow length to those of the building. Since the tree is 5 m tall and casts a 1.1 m long shadow, we can set up a proportion with the building's shadow, which is 55 m long.

Step-by-step calculation:

Write the proportion using the tree's height and shadow: 5 m (tree height) / 1.1 m (tree shadow) = building height / 55 m (building shadow).

Cross multiply to find the building's height: 5 m × 55 m = 1.1 m × building height.

Perform the calculations: 275 m² = 1.1 m × building height.

Divide both sides by 1.1 m to solve for building height: building height = 275 m² / 1.1 m.

Complete the division: building height = 250 m.

Answer:

D. -27+15 (N-1)

Step-by-step explanation:

-27, -12, 3, 18

Take the second term and subtract the first term to find the common difference

-12 - (-27)

-12+27 = 15

The common difference is +15

We are adding 15 each time

The formula for an arithmetic sequence is

an = a1+d(n-1)

an = -27 +15(n-1)

The correct nth-term expression for the given sequence is -27 + 15(n - 1), reflecting the sequence's consistent increase of 15 between terms.  So the correct option is D.

The student's question asks for the expression that defines the nth term of the sequence -27, -12, 3, 18, ... given that a1 = -27. Observing the sequence, we can see that each term increases by 15 from the preceding term. Thus, to find the nth term, we start with the first term (-27) and add 15 to it n times (n - 1), because the first term is already included.

The correct expression for the nth term is therefore -27 + 15(n - 1), which simplifies to -27 + 15n - 15 and further simplifies to -42 + 15n. This corresponds to option D: -27 + 15 (n - 1).

Final answer:

To find the length of X, we can use the concept of corresponding sides in similar figures. By establishing the ratio between corresponding sides AB and PQ, we can find the length of X. The length of X is found to be 2 units.

Explanation:

In order to find the length of X in the similar quadrilaterals ABBCD and PQRS, we need to find the corresponding sides that are proportional to each other. Let's say AB represents a side of ABBCD and PQ represents the corresponding side of PQRS. If AB is 6 units long and PQ is 3 units long, then the ratio of AB to PQ is 6:3, which simplifies to 2:1. Since the lengths of corresponding sides in similar figures are proportional, if AB has a length of 4 units, then PQ would have a length half of that, which is 2 units. Therefore, the length of X is 2 units.

Answer:

(B) Revenue account which increases

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected as follows:

In transaction (C) on 5/10, the Fees Earned account is a(n) A. Expense account, which increases B. Revenue account, which increases C. Revenue account, which decreases D. Asset account, which decreases

If that is the case, then please note that whatever amount you earn, is an amount that will always increase. If you have no earnings, then nothing decreases nor decreases.

The Fees Earned account is a type of revenue account that increases when the company earns more fees. Therefore, option B (revenue account, which increases) is correct.

In transaction (C) on 5/10, the Fees Earned account is usually classified as a revenue account. Therefore, when a company earns fees, it records the transaction as an increase in the fees earned account. The more fees the company earns, the higher the balance in this account, representing the income the company has made. So, if the Fees Earned account is increasing in value, it would be correct to say that it is a revenue account, which increases. This makes option B the correct answer.

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Answer:

the solution is (3,4) (the second one)

Step-by-step explanation:

The correct graph is attached to the answer.

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

x denote the amount of fruit syrup added and y denote the amount of water added.

It is given that:

Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed.

i.e. the equation that satisfies this condition is:

         [tex]3y=2x+6\\\\i.e.\\\\2x-3y=-6-----------(1)[/tex]

i.e. the graph of this equation is a line that passes through (-3,0) and (0,2)

Also, The total number of liters of syrup and water he mixed was 7 liters.

Hence, the equation is:

                       [tex]x+y=7------------(2)[/tex]

i.e. the graph of this equality is a line that passes through (7,0) and (0,7)

Also, from equation (2) we have:

[tex]x=7-y[/tex]

Now, on putting this value of x in terms of y in equation (1) we get:

[tex]2(7-y)-3y=-6\\\\i.e.\\\\14-2y-3y=-6\\\\i.e.\\\\14-5y=-6\\\\i.e.\\\\14+6=5y\\\\i.e.\\\\5y=20\\\\i.e.\\\\y=4[/tex]

Also, on putting the value of y in equation (2) we get:

[tex]x=3[/tex]

Hence, the solution to the system of linear equation is:

                 (3,4)

The longest side of a triangle is opposite the largest interior angle, same goes to the opposite. The shortest side of a triangle is opposite the smallest interior angle.

Hope this helps! <3

Answer:

Largest angle

Step-by-step explanation:

In any triangle, the longest side is opposite the largest angle.  The smallest side is opposite the smallest angle.

Answer:

560 miles per hour

Step-by-step explanation:

First, what you do is divide 224 by 4.

224 ÷ 4 = 56

You do this because you need to find the rate it goes in one hour.

Next, you do 56 times 10.

56 × 10 = 560

Hope that helps!

560miles per hour is the jets speed .

Speed is the time rate at which an object is moving along a path,

Given,

A train went 224 miles in 4 hours

A jet is ten times as fast as the train.

We need to find the jets speed.

Speed = Distance / time

Train speed=224/4

=56miles/hour

So train travels 56 miles in one hour.

As given, A jet is ten times as fast as the train

So we have to multiply 10 with the 56

10×56

560miles per hour

Hence, 560miles per hour is the jets speed .

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Answer:He can increase the number of trials.

Step-by-step explanation:

He can increase the number of trials.

He can decrease the number of trials.

He can increase the number of sides on the die.

He can decrease the number of sides on the die.

Answer:

increase the number of trials

Step-by-step explanation:

hope this helped;) <3

Step by Step Explanation:

16. x - 4 = 4

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:

x - 4 (+4) = 4 (+4)

x = 4 + 4

x = 8

17. a/4 = 4

Isolate the variable (a). Note the equal sign, what you do to one side, you do to the other. Multiply 4 to both sides:

(a/4)(4) = (4)(4)

a = (4)(4)

a = 16

18. y * 20 = 30

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Divide 20 from both sides.

(y *20)/20 = (30)/20

y = 30/20

y = 3/2 or 1.5

19. x/5 = 20

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides

(x/5)(5) = (20)(5)

x = (20)(5)

x = 100

~

Answer:

0

Step-by-step explanation:

The only value I can see that won't work is a = 0. That value gives you 0 over 0 which has no definite answer at this level. It is best to call such a thing undefined or not permitted.

Answer:

-$414 per month

Step-by-step explanation:

If the net income over three months is -1242

Take that amount and divide by 3

-1242/3

-414

Answer:

Step-by-step explanation:

so multiply 7.9 * 8.6 which will give you 67.94

Answer:

The area is 67.94m.

Answer:

1: 3 4 7

2: 5 6

3: 1 4 7

4: 1 3 7

5: 2 6

6: 2 5

7: 1 3 4

Answer:

56

Step-by-step explanation: You have to substitute 6 for a because it says, "Which expression is equivalent to 7(a+2) when a=6"

7(a + 2)

7(6 + 2)

42 + 14

= 56

To find the equivalent expression to 7(a+2) when a=6, substitute the value of a into the expression to get 56.

To find the expression equivalent to 7(a+2) when a=6, we substitute the value of a into the expression:

7(a+2) = 7(6+2)

7(6+2) = 7(8)

7×8 = 56

Therefore, the expression equivalent to 7(a+2) when a=6 is 56.

Answer: z < 4

z+4 > 2z

z+4-z > 2z-z ..... Subtract z from both sides

4 > z

z < 4

So the solution set for z is any number that is less than 4, which could be something like z = 2 or z = 3.

Answer:

4

Step-by-step explanation:

A term no matter how long it is, is ended by some sort of sign. so 6 is a term 2x is a term -4y is a term and 5z is a term. The term could be 5xyz^6a^2bc^7 + 2, and there are only 2 terms.

Answer:

4

Step-by-step explanation:

There are 4 terms in the expression.  Terms are separated by the addition or subtraction sign.

Simplifying

2.1x + -1(1 + 4.2x) = 5.3

2.1x + (1 * -1 + 4.2x * -1) = 5.3

2.1x + (-1 + -4.2x) = 5.3

Reorder the terms:

-1 + 2.1x + -4.2x = 5.3

Combine like terms: 2.1x + -4.2x = -2.1x

-1 + -2.1x = 5.3

Solving

-1 + -2.1x = 5.3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + -2.1x = 5.3 + 1

Combine like terms: -1 + 1 = 0

0 + -2.1x = 5.3 + 1

-2.1x = 5.3 + 1

Combine like terms: 5.3 + 1 = 6.3

-2.1x = 6.3

Divide each side by '-2.1'.

x = -3

Simplifying

x = -3

Hope i was helpful!

Answer:

Step-by-step explanation

You must find the common denominator for all of them.  

A is correct. 13 x 2 is 26 and 14 x 2 is 28. Therefore, 13/14 is greater than 25/28.

B is not correct. 4 x 5 is 20 and 9 x 5 is 45. 4/9 is actually less than 21/45.

C is not correct. 5 x 2 is 10 and 6 x 2 is 12. 5/6 is actually less than 11/12.

D is not correct. 4 x 5 is 20 and 5 x 5 is 25. 4/5 is actually less than 8/25.

Answer:

-720

Step-by-step explanation:

2910 is obviously bigger than 2190 so your answer will result in a negative so what you could do is 2910-2190 which is 720 and add a negative in front of it.

Answer:

5

Step-by-step explanation:

Steps:

1. 4 + 1 make five

2. 5 is divisible by five!!

The expression that represents the number of baseball cards Amaya has, is x=4n-7 , where x=number of baseball cards Amaya has and n=number of baseball cards Declan has.

Given that, Declan has n baseball cards.

Sam has 4 times as any baseball cards as Declan.

So, Sam has 4n cards.

According to the question, Amaya has 7 fewer baseball cards than Sam.

So, Amaya has 7 less number of baseball cards than Sam.

If, Sam has 4n cards & Amaya has 7 less number of baseball cards than Sam.

∴ The expression is x=4n-7

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Answer:

635 pounds hope you do good :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I would say probably 695E.The reason why I said that answer is because 30*2 equals 60.Then it took a additional 12 minutes and I know that 12*5 equals 60 so I divided 30 by 5.I got 6 and added it to 60 which got me 66.Then I multiplied that by 10.After that I just added the 35 to it.

Answer:

x = 26, y = 9

Step-by-step explanation:

Let one number be x, and the other be y. Set the equations:

x + y = 35

x - y = 17

First, isolate the x in the first equation. Subtract y from both sides

x + y (-y) = 35 (-y)

x = 35 - y

Plug in 35 - y for x in the second equation

(35 - y) - y = 17

35 - 2y = 17

Isolate the variable. Note the equal sign, what you do to one side you do to the other side. Do the opposite of PEMDAS. First, subtract 35 from both sides

35 (-35) - 2y = 17 (-35)

-2y = -18

Isolate the variable (y). Divide -2 from both sides

(-2y)/-2 = (-18)/-2

y = -18/-2

y = 9

Plug in 9 for y in one of the equations.

x + y = 35

x + 9 = 35

Isolate the variable (x). Subtract 9 from both sides

x + 9 (-9) = 35 (-9)

x = 35 - 9

x = 26

~

The range of f(x) = x + 5 is the set {0, 10}.

Therefore

x + 5 = 0 and x + 5 = 10

x = -5 and x = 5

Answer:

yes, fractions are like 1/2 or 3/6 but a whole number is not a part or a fraction such as 124.

Step-by-step explanation:

Answer:

124  is a whole number

Step-by-step explanation:

The whole numbers are the numbers 0, 1, 2, 3,  etc.

124  is a whole number

Answer:

The answer is 3

Step-by-step explanation:

5( 9/ 12  −  1/ 4 )+0.5

=5( 3/ 4  −  1/ 4 )+0.5

=5( 1/ 2 ) + 0.5

= 5/ 2  + 0.5

=3

∠CBA it's an inscribed angle.

An inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.

Inscribed Angle = 1/2 Intercepted Arc

Therefore