LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 7x + 11 and MP = 9x-5
X= ???

Answers

Answer 1

Answer:

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 9 = 7x + 9 ( subtract 7x from both sides )

2x - 9 = 9 ( add 9 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72

MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72


Related Questions

I need help with this please

Answers

Answer: D

Step-by-step explanation:

Domain is x and Range is y

TOPIC : Composition of Functions

need help plz look in the pic answer all question

Will give Brainliest and 25 points

Answers

Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

A large corporation gave an assessment to its candidates for supervisory positions. The candidates were sorted into successful and unsuccessful groups based on whether they passed the assessment. The data is summarized in the table shown.


Of the candidates not selected for supervisory positions, how many were successful on the assessment


86



128



214



300

Answers

Answer:

214.

Step-by-step explanation:

According to the table, The number of people that were successful (The row that follows the word "Successful") and not selected (The Column that follows the words "Not selected") were 214 of the candidates.

To find the answer to this question, you have to find where the Row labeled "Successful" and Column labeled "Not Selected" intersect.

I hope this helped!

Answer:

214

Step-by-step explanation:

(GIVING BRAINLIEST!!!)

Which power was granted to the president by the Constitution?

A) Can serve as a Supreme Court judge
B) Can draft laws for all states
C) Can appoint state leaders
D) Can veto laws

Answers

Answer:

It should be either B or D

Step-by-step explanation:

"President can carry out laws" Please read the information in the lesson instead of posting the question online.

Answer: the anser is B

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

x=5

Step-by-step explanation:

15-3x=0

15-3*5=0

15-15=0

x is 5 because 15 - 3(5) is 0

pls help U WILL BE BRAINLISTED ​

Answers

Answer:

C.)

Step-by-step explanation:

You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps

Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeters long in the drawing. What scale did Trevor use? 9 centimeters : meters

Answers

Answer: [tex]9\ cm\equiv 5\ m[/tex]

Step-by-step explanation:

Given

The actual length of the parking lot is 75 m

length in the drawing is 135 cm

Here, 75 m is equivalent to 135 cm

Using unitary method

[tex]75\ m\equiv 135\ cm[/tex]

[tex]15\ m\equiv 27\ cm[/tex]

[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]

Helllllllllppppppppppppppppppp

Answers

Answer:

A. 12cm

Step-by-step explanation:

Before a school election, a sample of voters gave Karim 28 votes, Marisol 41, and Richard 11. Based on these results, predict the number of votes for Karim if 1600 vote.

Answers

Answer:

560 votes

Step-by-step explanation:

Given that :

Sample votes :

Karim 28 votes ;Marisol 41 ; and Richard 11

Total sample votes = 28 + 41 + 11 = 80

Percentage vote obtained by Karim :

(28 / 80) * 100%

0.35 * 100%

35% of sample votes

Prediction if votes were 1600;

35% of 1600

0.35 * 1600

= 560 votes

Determine whether each point lies on the circle. Then use symmetry to determine another point on the circle.


Circle K has its center at (0,0) and a radius of 4.
Point N is at (3, square root of 7).


Plz help! I'll give Brainliest!!

Answers

Given:

Circle K has its center at (0,0) and a radius of 4.

Point N is at [tex](3,\sqrt{7})[/tex].

To find:

To check whether the point N lies on the circle or not. Then find the other point using symmetry.

Solution:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]       ...(i)

where, (h,k) is center and r is radius.

Circle K has its center at (0,0) and a radius of 4.  Putting h=0, k=0 and r= 4 in (i), to get the equation of circle K.

[tex](x-0)^2+(y-0)^2=4^2[/tex]

[tex]x^2+y^2=16[/tex]       ...(ii)

To check the point [tex]N(3,\sqrt{7})[/tex], put x=3 and [tex]y=\sqrt{7}[/tex] in (ii).

[tex](3)^2+(\sqrt{7})^2=16[/tex]

[tex]9+7=16[/tex]  

[tex]16=16[/tex]  

This statement is true. So. option [tex]N(3,\sqrt{7})[/tex] lies on the circle K.

According to the symmetry about the origin, if (x,y) lies on the graph then (-x,-y) also lies on that graph.

Since the center of the circle is origin, therefore, it is symmetrical about the origin.

Thus, point [tex]P(-3,-\sqrt{7})[/tex] must be on the circle K.

Therefore, the another point on the circle K is [tex]P(-3,-\sqrt{7})[/tex].

write an equation for a line parallel to y=-2x-1 that passes through (2,-7)

Answers

Answer:

The equation is;

y = -2x - 3

Step-by-step explanation:

If two lines are parallel, then they have an equal value of slope

Mathematically we can generally have the equation of a line written as;

y = mx + c

where m

is slope and c is the y-intercept

In the case of the equation given, the slope of the line is -2

So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)

The point-slope form can be written as;

y-y1 = m(x-x1)

So the equation we want to get is;

y-(-7) = -2(x-2)

y + 7 = -2x + 4

y = -2x + 4 - 7

y = -2x - 3

Select the correct answer from each drop-down menu.

During Britain's war with France in the 1800s, the British interfered with US trade by 1______________________. The British also raided US merchant ships and forced US sailors to work in the British navy. 2_____________________introduced the Embargo Act to make the British respect US rights, but his efforts failed. As Britain continued the practice of impressment, tensions between the United States and Britain continued to rise. Following the 3_________________

Answers

Answer:

I think it's this one- blocking U.S. ships from entering European ports 2. Thomas Jefferson 3. Battle of Tippacanoe

don't hate me if it's not.

15. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have produced that same final result in terms of the position of the person and the direction the person faces?
A. reflection over the north-south axis

B. rotation

C. translation

D. reflection over the west-east axis\

Answers

Answer:

10 paces East

Step-by-step explanation:

East 20 and West 25 and East 15 = 10 East

10 north and 10 south cancel each other out

Might give you Brainliest is you step by step explain how much you get the answer

Answers

Answer:

60

Step-by-step explanation:

There were 160 votes in total, and we need to figure out how much is 3/8 of it. Therefore, we need to find (3/8)*(160) (of is another word for multiply). The easiest method is to find 1/8 of 160 which is 20, and then multiply it by three to get 60, which is your answer!

I hope this helped, please give brainliest if this is correct! Thank you!

what is the point-slope form of a line that has a slope of 5 and passes through the point (3,-4)

Answers

Y=mx+b so it should be y=3x-4
y+4=5(x-3) is the correct answer. Please give brainliest

250% of a number is the same as increasing the number by what percent?

Answers

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

Which of the following will give the same answer as 2456 x 992?

a. 2456 x ( 900 - 8 )
b. 2456 x ( 900 + 90 + 2 )
c. 2456 x ( 99 + 2 )
d. 2456 x ( 900 + 8 )
pls answer asap

Answers

Answer:

b. 2456 * ( 900 + 90 + 2) will give the same answer as 2456 * 992

Hope it will help :)

Determine whether GB is parallel to KA. Justify why or why not.

Answers

Answer:

Yes, GB is parallel to KA, and so are these lines parallel to each other.    I   I

Step-by-step explanation:

There are the same distance away from each other at any given point on the segments/lines.

Answer:

GB is parallel to KA

Step-by-step explanation:

If a line intersects two lines of a triangle, and creates a similar triangle, then the intersection line is parallel to the third side.

A cube has a volume of 64 cubic meters what is the length of each edge

Answers

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

Answer: 4 cubic meters

Step-by-step explanation:

The volume of a cube = a³

4³ = 64

So the length of each length has to be 4 cubic meters.

The sum of the measures of angle A and angle B is 90 degrees. The measure of angle A is (5x + 10) The measure of angle B is 3x degrees

Answers

Answer:

m<A is 60 degrees

m<B is 30 degrees

Step-by-step explanation:

As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B

we can substitute (5x+10) and 3x as <A and <B into the equation

so:

5x+10+3x=90

Combine like terms

8x+10=90

subtract 10 from both sides

8x=80

divide by 8

x=10

Now substitute as x

m<A: (5*10+10)=50+10=60 degrees

m<B: (3*10)=30 degrees

Hope this helps!

Round or fraction form round all the WAY!

Answers

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

(20.8). (9.16)
what is the slope

Answers

Answer:

00ehrhrhrhdjrjrhejrjrjrjrjdjdjfjdhdhdhdhrjdjdjd

Is the following conditional true?
If a number is divisible by 2, then it is divisible by 4.

Answers

No the conditional is not true. The converse of the conditional would be true. If a number is divisible by 2, it wouldn’t necessarily be divisible by 4, but if a number is divisible by 4, it’s divisible by 2.

Select all of the equations that have graphs with the same y-intercept (starting amount).

Answers

Answer: y=3x-8, y=5x-8, and y=2x-8

Step-by-step explanation:

These equations are all lines in slope-intercept form (y=mx+b where b is the y-intercept). y=3x-8, y=5x-8, and y=2x-8 all have -8 as the b value. Therefore, these equations have the same y-intercept.

Need help please for extra credit for my class

Answers

I thinks the scale factor is a

Luke had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?

Answers

Answer:

4.85 left

Step-by-step explanation:

Answer:

$4.85

Step-by-step explanation:

Amount John has = $8.50 (Given)

Find amount left after spending on sweet

Sweet = $1.25

Amount left = $8.50 - $1.25 = $7.25

Find amount left after giving to 2 friends:

First friend = $1.20

Second friends = $1.20 x 2 = $2.40

$7.25 - $2.40 = $4.85

Answer: $4.85

write the sentence as an inequality. A number x is greater than 3.

Answers

Answer:

Step-by-step explanation:

As x is bigger than the number the 3.

x > 3 (The answer) ✔️

This symbol ‘>’ means ‘greater than’

So x is greater than 3

25 POINTS. Radar used microwaved yo check the speed of cars. If a speed of the microwaves is 2 000 000 m/ s and the wavelength is 0.0345m calculate the frequency.

Answers

Answer: [tex]5.79\times 10^{7}\ \text{Hz}[/tex]

Step-by-step explanation:

Given

Speed of radar wave [tex]v=2\times10^{6}\ m/s[/tex]

the wavelength of radar wave [tex]\lambda =0.0345\ m[/tex]

We know, [tex]velocity=frequency\times wavelength[/tex]

[tex]frequency=\dfrac{\text{velocity}}{\text{wavelength}}[/tex]

[tex]frequency=\dfrac{2\times10^6}{3.45\times10^{-2}}[/tex]

[tex]frequency=5.797\times 10^{7}\ Hz[/tex]

Jorden wanted to leave a 15% tip on a $48.00 bill. What amount should he leave?

Answers

Answer:

7.20

Step-by-step explanation:

15% of 48 = 7.20

Answer:

Jordan should leave $7.20 tip

Step-by-step explanation:

%15 off of $48.00 is $40.80; $7.20 + $40.80 = $48.00

✧brainliest appreciated✧

a graphic artist has a picture that is 5 in by 10 in the picture needs to be in large so the larger side is 30 in the ratio of the sides lengths will remain the same how long will the shorter side be after the enlargement ​

Answers

Answer:15

Step-by-step explanation:

the ratio is 1:2 so 5 is half of 10 and if 10 becomes 30 it’s tripled so you would then have to triple 5 getting 15 , i hope this is right if not i’m sorry

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