The triangles shown are similar. Use the image to answer the question. a triangle DEF with side DF labeled 13 and a second overlapping triangle GEH with side GH labeled 4 and EH labeled 8
Determine the length of side FE.

18
20
21 2
6

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

The difference between the selling price and the cost price is the profit he earned.

Profit = Selling Price - Cost Price

Profit = $216 - $180

Profit = $36

To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :

Percentage Profit = (Profit : Cost Price) * 100%

Percentage Profit = ($36 : $180) * 100%

Percentage Profit = 0.2 * 100%

Percentage Profit = 20%

Therefore, his percentage profit is 20%.

Answer:

true

true

true

false

1 and 6 are on ppposite sides and 6 is wider

Step-by-step explanation:

Answer:70%

Step-by-step explanation:you have 7/10.SO u times the whole fraction by 10( 7 times 10 =70 and 10 times 10 =100) which means 70/100 so the percent is 70.

Hope it helps

Answer:

yes its true

Step-by-step explanation:

hope i help have a fant

Answer:

x = 3

Step-by-step explanation:

38x - 2 = 112

38x = 114

x = 3

Answer:

x = 3

Step-by-step explanation:

38x - 2 = 112

38x = 114

114 ÷ 38 = 3

x = 3

Hope this helped!

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

4 pounds and 1/4 ounces

Step-by-step explanation:

8 and 1 half pounds = 8.5 Ibs

One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4  or 4Ibs 4 ounces.

Complete Question

The diagram of the barn is shown on the first uploaded image

Answer:

The cost is \(C = \$ 530\)

Step-by-step explanation:

From the question we are told that

   The  cost of one gallon of paint is  \(c = \$35\)

    The area the one gallon of paint covers is  \(A = 550 \ square\ feet\)

Generally from the diagram  the region of the barn which can be painted is mathematically represented as

       \(A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )\)

=>    \(A = 8336 \ ft^2\)

From the question

     1 gallon  covers  500 square feet

     x gallon will cover  8336  square feet

So

       \(x = \frac{8336}{550}\)

=>    \(x =15 \ gallons\)

Generally the cost of 15 gallons of paint is mathematically represented as

       \(C = c * x\)

=>     \(C = 15 * 35\)

=>     \(C = \$ 530\)

Answer:

12 to 26

Step-by-step explanation:

u go get that answer lol

Answer:

12 to 26

Step-by-step explanation:

First you have to identify the amount of red marbles (which is 12)

Then combine the total amount of marbles (including the red marbles)

Which should give you 12 to 26.

Answer:

4,106

Step-by-step explanation:

you jus add all the numbers up.

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

Answer:

D

Step-by-step explanation:

Answer:

The 3 angles are 22.5, 67.5 and 90 degrees.

Step-by-step explanation:

Let the smallest angle be x degrees.

Then the other angles = 3x and 2x + 45.

x + 3x + 2x + 45 = 180

6x = 180 - 45

6x = 135

x = 135/6 = 22.5 degrees

3x = 67.5 degrees

2x+45 = 90 degrees.

Answer: Since IK and LN are parallel lines, then mIJM and mNMJ are supplementary, meaning that they add up to 180 degrees. Therefore, mIJM = 180° - mNMJ = 180° - 116° = 64°.

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

Answer:

  x ≥\(\frac{-5}{2}\)

Step-by-step explanation:

step(i):-

Given inequality

               3x + 7 ≥ x +2

subtracting '2' on both sides, we get

          ⇒ 3x + 7 -2 ≥ x+2-2

         ⇒  3 x + 5 ≥ x

    subtracting 'x' on both sides, we get

           3x +5 -x≥ x-x

       ⇒ 3x +5 -x ≥ 0

      ⇒ 2 x + 5≥ 0

Step(ii):-

subtracting '5' on both sides ,we get

         2 x + 5 -5 ≥ 0-5

   ⇒  2 x ≥ -5

  ⇒  \(\frac{2}{2} x\geq \frac{-5}{2}\)

Final answer:-

 ⇒    x ≥\(\frac{-5}{2}\)

7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

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The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer:

\(-\frac{2}{3}\)

Step-by-step explanation:

The slope/gradient of a line is defined by this formula:

\(\frac{y_{1}-y_{0} }{x_{1}-x_{0} }\)

Where you pick two coordinates, find the change in the \(y\) values, and divide it by the change in the \(x\) values.

Two coordinates that this line passes through are (3, -2) and (-3, 2).

You can take the second \(y\)-value (2) from the first \(y\)-value (-2) or vice versa, so long as you do it in the same order the \(x\) values.

For this example, I will take the first \(y\)-value (-2) from the second \(y\)-value (2), and take the first \(x\)-value (3) from the second \(x\)-value (-3).

The gradient/slope is defined by \(m\) in the following:

\(m=\frac{2--2}{-3-3}=\frac{4}{-6}=-\frac{4}{6}=-\frac{2}{3}\)

There is approximately a 36.11% probability of rolling an odd sum or doubles when a pair of dice is rolled.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 3 odd numbers among the possible outcomes of each die (1, 3, 5), so there are 3 x 3 = 9 ways to obtain an odd sum:

(1,2), (1,4), (1,6), .... (6,1), (6,3), (6,5)

There are 6 possible outcomes for rolling the same number on both dice, so there are 6 ways to obtain doubles:

(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)

We counted (1,1), (3,3), and (5,5) twice in the above two categories, so we need to subtract 2 from the total count.

Therefore, there are 9 + 6 - 2 = 13 ways to obtain an odd sum or doubles.

Therefore, the probability of rolling an odd sum or doubles is:

P(odd sum or doubles) = 13/36

Thus, there is about a 36.11% probability of rolling an odd sum or doubles when a pair of dice is rolled.

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Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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Step-by-step explanation:

Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year

Step 1

Finding Intrest for Rs200

We have

Principal(P) = Rs 200

Rate (R) = 7%pa

Time (T) = 1year

Intrest(I) =?

We have ,

I =PTR/100

=200*7/100

=Rs 14

Step 2

Finding intrest for Rs2000

Given

Principal(P)=Rs2000

Rate(R) =11%

Time(T) =1 year

Intrest(I) =?

We know,

I =PTR/100

=2000*11/100

= 20*11

=Rs 220

Answer: True

Step-by-step explanation:

Yes, assuming that the line is perfectly between the 2 rectangular prisms.