If triangle ABC is similar to DEF, what is the measure of angle F?

Answer:

11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11

Step-by-step explanation:

11. 4x+15=75

subtract 15

4x=60

divide

x=15

12. 2x = -32 (subtract 13 from each side)

divide

x=-16

13. multiply each side by

-3/2

x is greater than or equal to 15

14. -3x -18 + 5 = -4

isolate x

-3x=9

x=-3

15. -5x-30 +5=-10

isolate x

-5x = 15

x= -3

16. 2x + 16 = 6x - 14

isolate x

4x = 30

x= 15/2

17 isolate x

x is greater than is equal to -4

18. isolate x

x is greater than -11

Hope it will help u.....

Answer:  .75

Step-by-step explanation:

Answer:211

Step-by-step explanation:

Final answer:

The correct dimensions for the two rectangular rugs, given that the product of their areas is 84 and each dimension is a prime number, are 2, 3, 3, and 7. Option : A) 2, 3, 3, 7 is correct answer .

Explanation:

The student's question is about finding the four dimensions of two rectangular rugs given that the product of their areas is 84 and each dimension is a prime number. We can break down the number 84 into its prime factors which are 2, 2, 3, and 7. Because dimensions must be prime numbers and since the only way to multiply four factors to get 84 is to pair them as (2 x 3) and (2 x 7), the dimensions of the rectangles are 2, 3, 2, and 7. However, since we know that the dimensions of the rugs must also be lengths, and lengths cannot be repeated for the same rug, it follows that the correct option must list each length only once.

Therefore, the four dimensions cannot be 2, 3, 2, and 7 since this would imply one rug has dimensions 2 x 2 which would not yield a prime number length for one side. Looking at the options given, the only set of dimensions that fulfill the criteria of being prime numbers and not repeating any length for the same rug is 2, 3, 3, and 7. Thus, the correct answer is: A) 2, 3, 3, 7.

The four dimensions of the rectangular rugs are 2, 2, 3, and 7. Hence, the correct option is D.

The four dimensions of the rectangular rugs are 2, 2, 3, and 7.

To find the dimensions, we need to factorize 84, which is 2 x 2 x 3 x 7 = 2^2 x 3 x 7.

Therefore, the dimensions are 2, 2, 3, and 7, which are all prime numbers.

Answer:

(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2

The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 42 x 51

Simplify the expression, then we have

⇒ 42 x 51

⇒ (40 + 2) x (50 + 1)

⇒ 40 x 50 + 40 x 1 + 50 x 2 + 2 x 1

⇒ 2,000 + 40 + 100 + 2

⇒ 2,142

The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

166

Step-by-step explanation: 0.06 times 166 equals 9.96 and Aiden wants at least 5 dollars left so 166 is the answer

Answer:

C. (-3, 1)

Step-by-step explanation:

[tex] - x + y = 4 \\ \therefore \: y = x + 4...(1) \\ \& \: 3x - 4y = - 13....(2) \\ substituting \: y = x + 4 \: in \: equation \: (2) \\ 3x - 4(x + 4) = - 13 \\ 3x - 4x - 16 = - 13 \\ - x = 16 - 13 \\ - x = 3 \\ \huge \red{ \boxed{x = - 3}} \\ plug \: x = - 3 \: in \: equation \: (1) \\ y = - 3 + 4 \\ \huge \purple{ \boxed{y = 1}} \\ \\ \orange{ \boxed{ \bold {\therefore \: (x, \: \: y) = ( - 3, \: \: 1)} }}[/tex]

Answer:

$8.75

Step-by-step explanation:

To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.

Method 1:

To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 17.50 by 10.

[tex]17.50/10=1.75[/tex]

2) Multiply 1.75 by 5.

[tex]1.75*5=8.75[/tex]

3) Minus 8.75 from 17.50.

[tex]17.50-8.75=8.75[/tex]

4) The new price is $8.75

Method 2:

The formula for percentages is.

[tex]\frac{percentage}{100} * amount[/tex]

To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 50 by 100.

[tex]50/100=0.5[/tex]

2) Multiply 0.5 by 17.50.

[tex]17.50*0.5=8.75[/tex]

3) Minus 8.75 from 17.50.

[tex]17.50-8.75=8.75[/tex]

4) The new price is $8.75.

Answer:

b= -3

Step-by-step explanation:

To solve, we must isolate the variable, b

-9b=27

Divide both sides by -9 to "reverse" the multiplication being done to b

b= -3

Answer:

y=x+5

Step-by-step explanation:

Looking at the answer choices, at first glance you see x=0 and y=5, this mean the y-intercept is 5. And in the equation y=mx+b, positive 5 will go into b.

The only answer with +5 as y-intercept is y=x+5

Now what if there are multiple +5 for y-intercept?

If there is multiple +5, you will also need to find the slope, you can find the slope by using

y2-y1/x2-x1

Answer:

The 1st one.

Step-by-step explanation:

In order to find the equation, they're is 2 ways of doing. Plugging in or using Y-Y1=M(X-X1). For plugging in, replace the x with 1 x value and plug in y for the corresponding x value. Or you can plug in all the x and y values into the equation shown and put the number on the left to the right and you'll get your equation immediately. Good luck on the Quizziz!

Answer:

D. 5/7

Step-by-step explanation:

5/7 is real because it can be plotted on a number line,

Its rational because it can be written as a fraction of 2 integers

But it is not an integer

Answer:

3 ln 4 + 3 lna

Step-by-step explanation:

In (4a)^3

We know that ln x^y  = y ln x

3 ln (4a)

We also know that ln (xy) = ln x + ln y

3( ln 4 + ln a)

3 ln 4 + 3 lna

Answer:

3 ln 4 + 3 lna

Step-by-step explanation:

Answer:

it's answer is B 46

As 79 -33 = 46

Answer:

B) 46

Step-by-step explanation:

79 - 33 =

= + 46

Answer:

1:2

Step-by-step explanation:

÷ by 6 both 6 and 12

you will receive 1:2 is the simplest form.

Answer:

5.715 centimeters or 27 Inches

Step-by-step explanation:

You just have to add all the fractions together and then convert your final answer into cm, in, ft, etc...

Answer:

Pete, Lisa, Tony, Max

Step-by-step explanation:

Lisa is 4 ahead Tony, putting Tony 4 behind Lisa

Pete is 8 ahead Max, putting Max 8 behind Pete

Lisa is also 6 ahead Max, putting Max 6 behind Lisa

So, Pete is 8 ahead Max, but lisa is 6 ahead Max, so Pete is ahead of Lisa by 2

Then lisa is 4 ahead Tony, so tony is 4 behind lisa and 6 behind Pete

Therefore (I know its confusing) The order is Pete, Lisa, Tony, Max

Final answer:

By analyzing the time differences between their finishes, we can determine that the friends cross the finish line in this order: Lisa first, Pete second, Tony third, and Max last.

Explanation:

To solve the question regarding the order in which four friends cross the finish line, we will use logical reasoning and simple arithmetic based on the information provided. Lisa finishes four hours ahead of Tony, Pete is eight hours ahead of Max, and Max finishes six hours after Lisa. From the given information, we can set up a sequence of events to determine the order in which they finish.

Answer:

D. 25

Step-by-step explanation:

7x – 3

Let x=4

7*4 -3

28-3

25

Answer:

d.

Step-by-step explanation:

The parallelogram diagonal theorem pertains to vector addition and subtraction, where the diagonals of a parallelogram indicate the resultant and the difference of two vectors. The precision of the resultant vectors is attained through trigonometry laws or by drawing the vectors to scale, with the alternative method of components simplifying calculations. The Pythagorean theorem also aids in accurately determining the lengths of resultants in right-angled vector scenarios.

In geometry, the parallelogram diagonal theorem states that when two vectors form the sides of a parallelogram, the diagonals of that parallelogram represent the sum and the difference of the two vectors. This can be understood by two distinct operations:

The magnitude and direction of these resultant vectors cannot simply be calculated as the arithmetic sum or difference of the magnitudes of individual vectors A and B. Instead, we must apply trigonometry laws or construct the vectors to scale and measure directly if precision is not paramount. The method of components, involving breaking down vectors into their orthogonal components along the axes, offers an alternative by circumventing complex algebraic calculations.

To add multiple vectors, we can sequentially apply the parallelogram rule to combine pairs until we derive the overall resultant. The process is both commutative and associative, meaning that the order of addition does not affect the final resultant vector.

The Pythagorean theorem, crucial for right triangles, allows us to calculate the straight-line distance (hypotenuse) when we know the lengths of the other two sides. It serves as another example of how vector components can simplify the calculation of resultants in orthogonal directions.

Answer: 8 5/8 turns

Step-by-step explanation:

Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).

Mathematically speaking:

5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)

In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.

Answer:

Its

C my dude

Step-by-step explanation:

.

Answer:

A. 3

Step-by-step explanation:

since the missing angle adds up to 90° when added to 66°, first you would subtract 66 from 90

[tex]90-66=24[/tex]

set that number equal to [tex]8x[/tex] and solve for [tex]x[/tex]

[tex]8x=24[/tex]

[tex]x=3[/tex]

Answer:36.25%

Step-by-step explanation: 29 divided by 80 = .3625

Then convert to a percentage by moving the decimal two spaces to the right =36.25

Answer:

36.25 %

Step-by-step explanation:

Is means equals and of means multiply

Let P be the percent

29 = P * 80

Divide each side by 90

29/80 = P 80/80

.3625 = P

Changing from decimal form to percent form

36.35% = P

Answer:

Not true

Step-by-step explanation:

n+7     =     2n+3

Final answer:

The student's algebra problem is solved by setting up the equation x + 7 = 2x + 3, where x is the unknown number, and using algebraic manipulations to find that x equals four.

Explanation:

The student's question pertains to an algebraic expression where a number and seven have a sum that's equivalent to double the number increased by three. To express this situation mathematically, we could set up the equation x + 7 = 2x + 3, where x represents the unknown number. To solve for x, we start by subtracting x from both sides of the equation, leading to 7 = x + 3. Then, we subtract 3 from both sides to isolate x on one side, resulting in 4 = x. Therefore, the number we are looking for is four.

The properties of numbers, such as the commutative property of addition which states that A + B = B + A, apply to this equation. This principle indicates that the order in which you add numbers does not affect the sum, a foundational concept taught across various arithmetic and algebra contexts in mathematics.

P(owns a pet) x P(owns a car)

Step-by-step explanation:

Two independent events,

Own a pet and own a car

The probability of independent events can be written as,

(Probability of event 1) x (probability of event 2)

P(owns a pet) x P(owns a car)

Answer:

P(owns a pet)

Step-by-step explanation:

Answer:

12000

Step-by-step explanation:

Jenkins had x dollars

He left 1/2 of that to his grandkids

He has x-1/2x = 1/x

He leaves 1/2 of that to his kids

1/2*1/2 x = 1/4x to his kids

His wife gets 1/6x

The rest is 1000

The total is

grand kids + kids + wife + 1000

1/2 x + 1/4x + 1/6x + 1000

He started with x

1/2 x + 1/4x + 1/6x + 1000  =x

Multiply each side by 12 to get rid of the fractions

12(1/2 x + 1/4x + 1/6x + 1000)  =x*12

6x+3x +2x +12000= 12x

Combine like terms

11x +12000 = 12x

Subtract 11x from each side

11x-11x +12000 = 12x-11x

12000=x

Since he started with x, he left 12000 dollars

Answer:

$12,000

Step-by-step explanation:

Let total be X

X - ½X = remaining after giving to grand kids

½(X/2) = ¼X remaining after giving to children

¼X - ⅙X = (3X - 2X)/12 = X/12 after giving to wife

X/12 = 1000

X = 12,000

Answer:

c = 12.5

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)

lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)

plug into the Pythagorean theorem.

10^2 + 7.5^2 = c^2

simplify (here you just square 10 and 7.5)

100 + 56.25 = c^2

simplify

156.25 = c^2

simplify

(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)

12.5 = c

Answer: 12.5

Step-by-step explanation: the pythagorean theorem is used to solve this equation theorem is (a x a) + (b x b) = (c x c) this is also called squaring

first substitute them in : (10 x 10) + (7.5 x 7.5) = (c x c)

then multiply 10 x 10 = 100 and 7.5 x 7.5 = 56.25 then substitute again

100 + 56.25 = (c x c) then add

156.25 = (c x c) then calculate the square root of 156.25 which is 12.5

hope this helps mark me brainliest if it helped

The probability of selecting a yellow disk from a bag of colored disks is 1/5 or 20%

The probability of selecting a yellow disk is 5 out of 25 disks, which simplifies to 1/5 or 0.2 (20%).

If you reach into the bag without looking, you have a 20% likelihood of randomly selecting a yellow disk from the total number of disks.

a. The probability that a yellow disk will be selected is 5/25 or 1/5, b. Complete the sentence to describe the likelihood of randomly selecting a yellow disk: It is 1/5 that a yellow disk will be randomly selected from the bag.

The probability of selecting a yellow disk from the bag is 1/5, as there are 5 yellow disks out of a total of 25 disks. This means that for every 5 disks chosen randomly, one is expected to be yellow. The likelihood of randomly selecting a yellow disk is thus 1 out of 5, or 20%. This probability reflects the relative abundance of yellow disks in the bag compared to other colors. With each random selection, there's an equal chance of picking any individual disk, making understanding probabilities crucial for predicting outcomes in random selections.

Answer:

  B.  π(3/2)²h

  (27/4)π cubic inches

Step-by-step explanation:

A. The formula for the volume of a cylinder is ...

  V = πr²h

The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...

  V = π(3/2)²h . . . . . . matches choice B

__

B. When h=3, the volume evaluates to ...

  V = π(9/4)(3) = (27/4)π . . . . cubic inches