please show work and explain every step!

Please Show Work And Explain Every Step!

Answers

Answer 1

Answer:

x = 6

FE = 28

Step-by-step explanation:

The triangles are similar so their side lengths are proportional

we can use that proportional value to find x and FE

(5x-2)/42 = (4x+2)/39 cross multiply expressions

195x - 78 = 168x + 84 get like expressions to the same side of the equation

195x - 168x = 84 + 78

27x = 162 divide both sides by 27

x = 6 now to find FE replace x with 6 in the expression

5x - 2 = 5×6 - 2

FE = 28


Related Questions

Kayla and her best friend found some money in a trash can. They split the money evenly, each getting $21.45. How much money did they find

Answers

Answer:

$42.90

Step-by-step explanation:

You do 21.45 x 2, or you can add 21.45+ 21.45

This is because it was only two people, Kayla and her best friend.

In​ basketball, some baskets are worth two points. Others are worth three points. In one​ game, the ratio of​ three-point baskets to​ three-point tries for one team was 3 : 4. If the team scored 27 points from​ three-point baskets, how many​ three-point tries did the team​ have?

Answers

The number of three-point tries is 36.

What are ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

What is the number of three point tries?

The first step is to determine the total number of tries and baskets: (27 X 7)/3 = 63

Number of three-point tries = (4/7) x 63 = 36

To learn more about ratios, please check: https://brainly.com/question/25927869

help!!
find the unknown sizes of angles of figure​

Answers

Answer:

60°

Step-by-step explanation:

it looks like  an isosceles triangle, 2 equal side and 2 equal angles (F&E)

the sum of the interior angles in a triangle is 180°, and FH is 180°.

180 - 120 = 60° (angle G)

now we know that it is an equilateral triangle, so Y and 2x are 60°

(3 * 60 = 180°)

-------------------------------

or

180 - 60 = 120

120 : 2 = 60°

How many buses do you need for 200 people if each bus holds
34 people?

Answers

Answer:

6

Step-by-step explanation:

you divide 200 people by 34 people per bus and get 5.88 (6)

Answer: 6 is correct! thax

USACanada

Step-by-step explanation:

Given cos 8 = and angle 6 is in Quadrant IV, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.

Answers

cos0 = √3/2

1 - cos²0 = sin²0

= 1/4 = sin²0

sin in quadrant 4 is negative

sin0 = -1/2

Two airplanes leave the airport. Plane A departs at a 44° angle from the runway, and plane B departs at a 40° angle from the runway. Which plane was farther away from the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth.

Group of answer choices

Plane A because it was 31.67 miles away

Plane A because it was 22.78 miles away

Plane B because it was 34.23 miles away

Plane B because it was 26.22 miles away

Answers

Answer: Answer:

Plane B was farthest away from the airport

Step-by-step explanation:

"This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.

In plane A

The take-off angle is 44° and the height gained is 22 ft.

Apply the relationship for sine of an angle;

Sine Ф°= opposite side length÷hypotenuse side length

The opposite side length is the height gained by plane which is 22 ft

The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse

Applying the formula

sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse

In plane B

Angle of take-off =40°, height of plane=22miles finding the hypotenuse

Solution

After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport

After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport."

Excerpt from Brainly

your answer is Plane B was farthest away from the airport.

Kiran leaves home at 9.45 am. She drives 135 km to visit a friend. She arrives at her friend’s house at 11.15 am. Work out her average speed in km/h.

Answers

Answer:

I believe the answer is 12.1km/per hour

PLEASE HELP NOW worth 40 points

Answers

Answer:

A:

1. x=6

2. x=4

3. x=2

4. x=1

5. x=-3

B: -2, -3, -4

Step-by-step explanation:

I need help with three and four

Answers

Answer:

Step-by-step explanation:

Part 3 :

We simply expand the brackets

(a+b)² = (a+b)(a+b)

(a+b)(a+b) = a²+ab+ab+b²  = a²+2ab+b²

This is part 3 done

Part 4:

We simply expand 3 brackets now:

(2x-1)³ = (2x-1)(2x-1)(2x-1)

We do the first 2 brackets first:

(2x-1)(2x-1) = 4x²-2x-2x+1 = 4x²-4x+1

Now we multiply this by the last bracket:

(4x²-4x+1)(2x-1) = 8x³ -4x²-8x² +4x+2x -1  = 8x³-12x²+6x-1

This is part 4 done

Hope this helped and brainliest please

WHAT NUMBER SHOULD REPLACE THE QUESTION MARK?
ANSWER ONLY IN DIGITS

Answers

Answer:

38 or 36 if there's options

Step-by-step explanation:

angles of a quadrilateral are y,2y,3y+20 and 4y+30 . find each angle if the sum of the angles of a quadrilateral is 360°

Answers

Answer:

31° , 62° , 113° , 154°

Step-by-step explanation:

sum the 4 angles and equate to 360

y + 2y + 3y + 20 + 4y + 30 = 360 , that is

10y + 50 = 360 ( subtract 50 from both sides )

10y = 310 ( divide both sides by 10 )

y = 31

2y = 2(31) = 62

3y + 20 = 3(31) + 20 = 93 + 20 = 113

4y + 30 = 4(31) + 30 = 124 + 30 = 154

the 4 angles are 31° , 62° , 113° , 154°

pls help me!!

find x and y

y= 8
y= x + 1

Answers

Answer:

x = 7, y = 8

Step-by-step explanation:

Knowing y = 8, we can substitute into equation and solve:

8 = x + 1

- 1       - 1

7 = x

Y is given, X is solved. Therefore:

x = 7, y = 8

Gerald has three shirts (blue, white, and grey), four pairs of pants (black, light grey, dark grey, and blue), and three ties (orange, blue, and black). How many different outfits that include one shirt, one pair of pants, and one tie can Gerald make?

Answers

Answer:

36

Step-by-step explanation:

By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.

Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.

Ruby has a pulse rate of 73 beats per minute and a blood pressure of 121 over 85. If ruby’s blood pressure can be modelled by a sinusoidal function, find an equation of this sinusoid.

Answers

The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex].

How to model blood pressure by sinusoidal functions

A sinusoidal function is represented by following model:

[tex]y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)[/tex] (1)

Where:

[tex]y_{min}[/tex] - Minimal blood pressure[tex]y_{max}[/tex] - Maximal blood pressure[tex]f[/tex] - Frequency, in beats per minute[tex]t[/tex] - Time, in minutes

If we know that [tex]y_{min} = 85[/tex], [tex]y_{max} = 121[/tex] and [tex]f = 73[/tex], then the sinusoidal formula for blood pressure is:

[tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex] (2)

The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex]. [tex]\blacksquare[/tex]

To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/12078395

In this polygon all angles are right angles

What is the area of this polygon
Enter your answer in the box

Answers

Answer: 334

Step-by-step explanation:

Cut the polygon into 2 pieces

Find the area of each rectangle and some it

7*10 = 70

24*(21-10) = 264

264 + 70 = 334

Answer:

334 ft²

Step-by-step explanation:

split the polygon into two

Area of A = 21 ft × 7 ft = 147 ft²

Area of B = (21 ft - 10 ft) × (24 ft - 7 ft)

Area of B = 11 ft × 17 ft = 187 ft²

Area of polygon = sum of Areas of A and B

147 ft² + 187 ft² = 334 ft²

What is the solution for x in the equation?

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

First, we combine like terms.

2-x = x-4

Next we move the variables to one side and the numbers to another

2x = 6

We divide by 2.

x = 3

I'M BEGGING YOU PLEASE HELP ME!!

Answers

5/6 = 10/12

1/2 = 2/3

3/5 = 6/10

Hope this helped.

Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.
Х
?

Answers

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

How many times greater is the value of the 6 in 618,923 than the 6 in 27,657

Answers

Answer:

600,000 times greater

Step-by-step explanation:

hope this helped and good luck :}

Answer: 1000 times greater

Step-by-step explanation: the 6 in 618,923 has a value of 600,000 where as in 27,657 it only has a value of 600

Look at where the six positioned, in the tens column, hundreds column or thousands column?

Which relationships describe angles 1 and 2?

Select each correct answer.


adjacent angles

complementary angles

vertical angles

supplementary angles

Answers

Answer:

supplementary angles

Step-by-step explanation:

they are on the same line, so they sum up to 180°

please please help me please!

Answers

Step-by-step explanation:

the number line : a potentially infinite horizontal line.

it shows all numbers, with 0 in the center, eher we are looking at it. the negative numbers go to the left of 0, with -1, -2, -3, ... going from right to left.

the positive numbers go to the right of 0, with 1, 2, 3 going from left to right.

point S = -14

and the distance to a point R (RS) is 10.

now, on such a line we can always go in 2 directions : left and right.

our starting point is S (-14).

going 10 units to the right (positive direction) we get to -4.

as -14 + 10 = -4

going 10 units to the left (negative direction) we get to -24.

as -14 - 10 = -24

so, R can be at -4 or -24.

Find the value of x. Anyone able to help?

Answers

Answer:

12

Step-by-step explanation:

The top and bottom of both sides are equal to eachother. So 5 times 12 equals 60 and subtract the 2 off to get 58.

Have a good day!

The inverse of G(x) is a function.

Answers

Answer:

  False

Step-by-step explanation:

In order for the inverse of a relation to be a function, it must pass the horizontal line test. That is, a horizontal line cannot intersect the graph in more than one place. Here, the x-axis intersects the graph of G(x) in 3 places, so the inverse of G(x) is not a function.

Kaylen's father invests $8,000 in a savings account that earns 5% interest. Assuming that Kaylen's Father does not deposit or withdraw money over the next 2 years, how much interest will he earn?

Answers

Answer:

$1,000 interest

Step-by-step explanation:

turn 5% to 0.5

multiply 8,000 times 0.50

What is the magnitude (size) of 3.7?

Answers

Answer:

A)

Step-by-step explanation:

|3.7| = 3.7

Robin’s scores: 99, 108, 102, 107, 119 Mean = 107; MAD = 5. 2 Evelyn’s scores: 125, 137, 138, 145, 145 Mean = 138; MAD = 5. 6 Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.

Answers

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

What is the mean absolute deviation?

Mean refers to the average of the observation and deviation means the variation from the present standard.

Given

Robin’s scores: 99, 108, 102, 107, 119

Mean = 107

MAD = 5.2

Evelyn’s scores: 125, 137, 138, 145, 145

Mean = 138

MAD = 5.6

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

More about the mean and the mean absolute deviation link is given below.

https://brainly.com/question/10258446

1) If the price of 3pens , 2 pencils and 4 erasers is 92. The price 16 Erasers and the price of 8 pencils is 68 then the the price of 24 pens is​

Answers

The answer would be 600

I’m stuck on this question please help x

Answers

Answer:

a = -3 and b=5

Step-by-step explanation:

Given that 10 can be written as 2*5 or √2*√2*5, and √18 can be written as √(2*9) or √2*√9 or 3√2, you can write the fraction as:

[tex]\frac{5\cdot\sqrt2\cdot\sqrt2-3\sqrt2}{\sqrt2}[/tex]

So getting rid of the √2 factor, you get 5√2 - 3, so a=-3 and b=5

How can 10% of 45 be used to determine 30% of 45?

Answers

Answer:

Step-by-step explanation:

If you know what 10% of 45 is and want to find 30%, you just multiply it by 3 since 10 * 3 = 30

Find the value of x.

Answers

Answer:

  x = 36°

Step-by-step explanation:

Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:

  3x +2x = 180°

  5x = 180° . . . . . . . . . collect terms

  x = 180°/5 = 36° . . . . . divide by 5

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