Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of "y" on the missing side TU?

Answers

Answer 1

Answer:

[tex]x = 15[/tex]

[tex]y = 25[/tex]

Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

[tex]MN : RS[/tex]

[tex]NP : ST[/tex]

[tex]PQ : TU[/tex]

[tex]MQ : RU[/tex]

From the attachment, we have:

[tex]MN : RS \to 18 : 30[/tex]

[tex]NP : ST \to x : 25[/tex]

[tex]PQ : TU \to 15 : y[/tex]

To solve for x, we equate [tex]MN : RS[/tex] and [tex]NP : ST[/tex]

[tex]18 : 30 = x : 25[/tex]

Express as fraction

[tex]\frac{18 }{ 30 }= \frac{x }{ 25}[/tex]

Make x the subject

[tex]x = 25 * \frac{18 }{ 30 }[/tex]

[tex]x = \frac{25 * 18 }{ 30 }[/tex]

[tex]x = \frac{450}{ 30 }[/tex]

[tex]x = 15[/tex]

To solve for y, we equate [tex]MN : RS[/tex] and [tex]PQ : TU[/tex]

[tex]18 : 30 = 15 : y[/tex]

Express as fraction

[tex]\frac{18 }{ 30 }= \frac{15 }{ y}[/tex]

Make y the subject

[tex]y = 15 * \frac{30 }{ 18 }[/tex]

[tex]y = \frac{15 *30}{ 18 }[/tex]

[tex]y = \frac{450}{ 18 }[/tex]

[tex]y = 25[/tex]

Trapezoid MNPQ Is Similar To Trapezoid RSTU. What Is The Length Of The "x" On The Misside Side NP ? Also,

Related Questions

Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the function h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?

Answers

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

[tex]h(t)=-16t^2+85t+5[/tex]

We need to find the interval the rocket be at least 43 feet above the ground.

[tex]43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s[/tex]

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

What is the perimeter of a square with an area of 256
cm2?
a. 16 cm
b. 32 cm
C. 64 cm
d. 128 cm

Answers

Answer:

C

Step-by-step explanation:

Since we know that squares have all equal sides the area of a square is just a side². So, we would square root 256 in order to find one side. And we know that there are 4 sides of a square so 16+16+16+16= 64. so the answer is C

Find the lope-intercept equation of the line that pae through (1,-3) and ha a lope of -1/4

Answers

The slope intercept form of the equation is

y = -1/4x -11/4

What is Slope Intercept form ?

One of the most popular ways to describe a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.

Any location that is not on the line will not fulfill the coordinates.

This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.

The line passes through (1,-3)

slope = -1/4

The equation of the line

y = mx + c

here m is the slope and c is the intercept.

putting the point and slope in the equation

-3 = -1/4 *1 + c

⇒ c = -11/4

So the slope intercept form of the equation is

y = -1/4x -11/4

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87.5 - 23.4 *
O 64.1
O 110.9
054.1

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer....

1st Option : 64.1

Hope it helps!

Brainliest pls!

Follow me! ;)

PLEASE HELP!!! WILL GIVES BRAINIEST!! PLEASE SHOW YOUR WORK!!

Answers

Answer: 3% of 62 = 1.86

Explanation: 3% × y = 1.86 =>

y =

1.86 ÷ 3% =

1.86 ÷ (3 ÷ 100) =

(100 × 1.86) ÷ 3 =

186 ÷ 3 =

62

Please mark me brainiest

Answer:

0.0558

Step-by-step explanation:

3% is out of hundred so we multiply

3%×1.86=0.0558

Checking:

0.0558÷1.86=0.03

0.03=3%

Solve Y, using the Pythagorean Theorem.

Answers

Answer:

y = 8.9

Step-by-step explanation:

8^2 + y^2 = 12^2

64 + y^2 = 144

subtract 64 from both sides

y^2 = 80

square root both sides

y = square root 80

y = 8.9

Y=8.9 here was the answer

I don’t understand and also any fake answers will be reported

Answers

The first graph shows the correct location of the points.

Are the two triangles similar? Why or why not?

Answers

Answer:

yes

Step-by-step explanation:

cause they are both triangles duhhhh

Answer:

yes bc they both make a 90* TURN

Can anyone help me on the first question??

Answers

It would be worth around $1,604

A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest
having an altitude of 8849m. Calculate the value of ‘g’ at that point.

Answers

Answer: A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest having an altitude of 8849m. Calculate the value of 'g' at that point.

The period of this pendulum can be solved using the formula shown in the picture below. T is the period in seconds; L is the length in meters and g is the acceleration due to gravity which is equal to 9.81 m/s²near the equator.

T = 2 × π × (square root of 1.00 m / 9.81 m/s²)

T = 2 * 3.1416 * (square root of 0.101936799)

T = 6.2832 * 0.319275428

T = 2.00 seconds

The period of this pendulum correct to 3 significant figures is 2.00 seconds.

The frequency of this pendulum is solved by the formula f = 1/T

f = 1/2.00 seconds

f = 0.500 hertz

Answer: 9.76 m/s^2

Step-by-step explanation:

In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less than three times the number of national battlefields. How many of each park unit were there?

Answers

Answer: 11, 30

Step-by-step explanation:

Given

There were a total of 41 national battlefields and national memorials

Suppose there are [tex]x[/tex] national battlefields

So, national memorials are [tex]3x-3[/tex]

The sum of the two must be 41

[tex]\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11[/tex]

So, there are 11 national battlefields and [tex]3\times 11-3=30[/tex] national memorials.

7 1/2 / (4 1/2 - 5 1/8) =

Answers

Answer:

Negative twelve aka -12

Answer:

-12

Step-by-step explanation:

15/2 ÷ (9/2 - 41/8)

= 15/2 ÷ (36/8 - 41/8)

= 15/2 ÷ (-5/8)

= 15/2 × (-8/5)

= -120/10 or -12

For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?

Answers

The value of 'a' for which the system of equations has a unique solution is a = 4/3.

The given system of equations can be written as:

Ax = 2

6x – 2y = 3

To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.

Solving for 'x' in the first equation, we get:

x = 2/a

Solving for 'y' in the second equation, we get:

y = (3 + 6x)/2

Substituting the value of 'x' in the above equation, we get:

y = (3 + 6(2/a))/2

Equating the two equations, we get:

2/a = (3 + 6(2/a))/2

Multiplying both sides of the equation by 'a', we get:

2 = 3a + 6

Subtracting 2 from both sides of the equation, we get:

3a = 4

Dividing both sides of the equation by 3, we get:

a = 4/3

Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of

Answers

Weight of each type of box:

Weight of each big box = 18.75 kg

Weight of each small box = 13.75 kg

What is an equation?

The relationship between two terms on either side of a letter is represented by a mathematical formula. Often there is a variable and an equals sign.

The definition of an equation in algebra is a formula that shows the equivalence of two mathematical terms. For example, in the expression 6x + 11 = 14 the two terms 6x + 11 and 14 are separated by the "equals" symbol.

To let

Weight of each big box = x

And the weight of each small box = y

Weight of 3 big boxes:

3 times

5 small box weights:

5 years

3x + 5y = 125 .......................(i)

resemble:

9x + 7y = 265 ......................(ii)

Equation (i) multiplied by -3:

-3 (3x + 5y) = 125 * (-3)

-9x - 15y = -375 ...................(iii)

Under (ii) and (iii):

9x + 7y = 265

-9x - 15y = -375

Adding this gives:

-8y = -110

or y = 110/8

or y = 55/4

y = 13.75

From equation (i), we have:

3x + 5y = 125

or 3x + 5(13.75) = 125

or 3x + 68.75 = 125

3x = 125 - 68.75

3x = 56.25

x = 56.25/3

x = 18.75

Each large box weighs:

18.75 kilograms

Weight of each small box:

13.75 kilograms

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choose sss, sas, or neither to compare these two triangles

Answers

Answer:

SSS

Step-by-step explanation:

We have three pairs of corresponding, congruent sides. Therefore, the SSS Postulate can be used to prove the two triangles congruent.

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

y = 32.5

x = 13

Step-by-step explanation:

opposite angles of the parallelogram are equal to each other.

parallelograms form 360° in total

so 60+ 55 = 115 * 2 (because two angles) = 230

360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°

2y = 65 °. and 5x = 65 °

y = 32.5

x = 13

Please help don't ignore
Determine if the number below is written in correct scientific notation, why or why not.
[tex]56.987 \times {10}^{5} [/tex]
No links
Don't answer if your not going to help ​

Answers

Answer:

a×10⁰ where (a the number) should always be less than 10

hope it helps :)

Can someone please help I need the answers please!!!!!!!!!!!!

Answers

Try 48 if it doesn’t work comment to me and I’ll try to figure out another answer :)

Circle of circumstances​

Answers

The circumference of the circle is 2πr.

What is circumference of a circle?

The circumference of a circle is the distance around the outside of the circle. It is given by the formula C = 2πr, where C is the circumference, π is the mathematical constant approximately equal to 3.14 and r is the radius of the circle. In other words, the circumference is equal to the diameter times pi.

For the given question,

The formula of the circumference of the circle,

C = 2πr

where r is the radius of the circle.

Hence we can conclude that the circumference of the circle is 2πr.

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(2x + 3) (3x + 4) it says to solve that in box method

Answers

x 2x 3
3x 6x^2 9x
4 8x 12

6x^2 + 17x + 12

In a survey of 2000 people who owned a certain type of​ car, 1200 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

The percentage of people who are satisfied with the car are 60%.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that in a survey of 2000 people who owned a certain type of​ car, 1200 said they would buy that type of car again.

The percentage of people who are satisfied with the car are -

{x}% = (1200/2000) x 100

{x}% = (12/20) x 100

{x}% = 12 x 5

{x}% = 60

Therefore, the percentage of people who are satisfied with the car are 60%.

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6 = x +2y solve for y

Answers

Although we cant find y as a number, we can write y in terms of x. Subtract by x and divide by 2.
this answer is y=3 - x/2

What is the theoretical probability that an even number will be rolled on a number cube?

Answers

Answer:

out of 36 rolls, 15 were positive. 15/36 simplified is 5/12

Answer:

15/36 is the probability there i believe i might be wrong

Step-by-step explanation:

Consider the line =−−8x6y1.
What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

Below

Step-by-step explanation:

Well I can't really see the equation but I can tell you how to do it.

Parallel slopes are the same slope as the equation.

For example, y = mx + b

The slope of a line parallel to it is m

Perpendicular slopes are the opposite reciprocal as the equation.

For example, y = mx + b

The slope of a line perpendicular to it is[tex]-\frac{1}{m}[/tex]

Answer:

parallel: -8

perp: +1/8

Step-by-step explanation:

parallel lines have the same slopes

perp lines have opposite reciprocal slopes

what is the slope and y-intercept for y=3/4x​

Answers

Answer:

the slope is

[tex] \frac{3}{4} [/tex]

and y intercept is 0

Mohammed is x years old.
Jenny is 7 years older than Mohammed.
Mario is 3 times the age of Mohammed.
The total of their ages is 82.
What are their ages?

Answers

Mohammed.6 yrs old
Jenny.7 yrs old
Mario.3 yrs old

Find the solution of the system of equations.
-7x - 3y = - 20

3x+ 6y = -15

Answers

Answer:

x = 5   y = -5

Step-by-step explanation:

-7x - 3y = -20

-3y = 7x - 20

y = -7/3x + 20/3

3x + 6(-7/3x + 20/3) = -15

3x - 14x + 40 = -15

-11x = -55

x = 5

-7(5) - 3y = -20

-35 - 3y = -20

-3y = 15

y = -5

what was the total number of gallons of paint sold?

Answers

Answer:

1,600

Step-by-step explanation:

Divide 240 by 3. This is 80, or 5% of the total.

Multiply 80 by 20, to get 1,600, 100% of the total

Is the following graph proportional or non proportional?
PLS HELP:((

Answers

It’s proportional because it goes through the origin

Answer:

Proportional

Step-by-step explanation:

Proportional, because the graph goes through (0, 0).  If the line crossed the y-axis elsewhere, the function would NOT be proportional.

what is 9.5 is what % of 50 i have a test tomorrow 1/11/23 and I dont understand it

Answers

The percentage statement is 9.5 is 19% of 50

How to determine the percentage

From the question, we have the following parameters that can be used in our computation:

9.5 is what % of 50

Complete the blank with x

So, we have the following representation

9.5 = x% of 50

So, we have

9.5 = x% * 50

Divide both sides by 50

0.19 = x%

Multiply both sides by 100

So, we have

x = 19

Hence, the solution is 19

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