Enter a range of values for x.
85°
25
5x - 10
[ ? ] Enter

Enter A Range Of Values For X.85255x - 10[ ? ]Enter

Answers

Answer 1
Answer: 2 < x < 7

==================================================

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

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

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.


Related Questions

Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)

Answers

Answer:

20>4

Step-by-step explanation:

12-3 forget about the x 12-3=9 . 9+11=20

(17-9)=8 . 8-4 =4

so your answer is correct

Answer:Subtract 3x from 12x

9 x + 11 > 4 x − ( 17 − 9 x )

 

Simplify  4 x − ( 17 − 9 x ) .

9 x + 11 > 13 x − 17

Move all terms containing  x  to the left side of the inequality.

−4 x + 11 > − 17

Move all terms not containing  x  to the right side of the inequality.

− 4 x > − 28

Divide each term by  − 4  and simplify

x < 7

Interval Notation:

( − ∞ , 7 )

Which pairs of events describe independent events?

Answers

Answer:last one is the correct ans...

Step-by-step explanation:

Pleased to help u....

A survey devices eyepiece is 6 feet off the ground. The device is placed 60 feet from a tree, the eyepiece must be elevated upwards at a 33 angle to see the top of the tree. How tall is the tree?

Answers

Greetings from Brasil...

Pure application of trigonometry - tangent

see the attachment

H = X + 6

and

TG 33 = X/60

X = 60.TG 33

X ≈ 39

H = X + 6

H = 39 + 6

H = 45

The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.


Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?





Answers

Answer:

9/16

see explanation below

Step-by-step explanation:

This question is lacking figures. But it is easy to solve question asking for the ratio of the areas of a shape when the shapes are similar.

When shapes are similar, the ratio of their corresponding sides are equal.

whilst the ratio of the area of similar shapes is equal to the square of the ratio of their corresponding sides.

In other words, if the corresponding sides are a and b respectively, the ratio of their sides = a/b

and the ratio of the areas of the shape = (a/b)²

Assumption: Now if the side length of the smaller pyramid is 3/4(the side length of the larger pyramid)

let length larger pyramid = x

length of smaller pyramid = 3/4 x

their ratio (small/big) = (3x/4)/x = 3/4

ratio of their areas = (3/4)²

the ratio of base area of the smaller pyramid to the base area of the larger pyramid = 9/16

Answer:

A.) 9/16

Step-by-step explanation:

Have a great day, and take mental health breaks! You are loved :)

Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rings. If he runs at a speed of 80 meters per minute, he will arrive 3 minutes before the bell rings. In how many minutes will the bell ring?

Answers

Answer:

The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

[tex]time=\frac{distance}{speed}[/tex]

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

[tex]50(3+x)=80(x-3)[/tex]

[tex]150 +50x=80x-240\\[/tex]

Next, collecting like terms:

[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]

dividing both sides by 3:

x =  390÷30 = 13

∴ x = 13 minutes

Which of the following is not a rigid motion transformation?

Answers

Answer:

D. Stretch

Step-by-step explanation:

All the others keep the same dimensions

The one which is not a rigid motion transformation is D. Stretch.

What is Geometric Transformation?

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.

In rotation, translation and reflection, there is no change in the size or the shape.

But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.

So stretch is not a rigid motion transformation.

Hence option D is the correct answer.

Learn more about Rigid Motion Transformation here :

https://brainly.com/question/1408127

#SPJ7

The altitude of an object, d, can be modeled using the equation below. d=-16t^2+vh+h.where v is the initial velocity and h is the initial height.A catapult launches a stone with an initial velocity of 48 feet per second and an initial height of 0 feet. How long will the stone be in flight?

Answers

Answer:

The stone will be in flight for 3 seconds

Step-by-step explanation:

Given the equation;

d = -16t^2 + vt + h

Where;

v = the initial velocity

h = the initial height

Given;

v = 48 ft/s

h = 0

Substituting into function d;

d = -16t^2 + 48t + 0

d = -16t^2 + 48t

At the point of launch and the point of landing d = 0.

We need to calculate the values of t for d to be equal to zero.

d = -16t^2 + 48t = 0

-16t^2 + 48t = 0

Factorising, we have;

16(-t+3)t = 0

So,

t = 0 or -t+3 = 0

t= 0 or t =3

Change in t is;

∆t = t2 - t1 = 3 - 0

∆t = 3 seconds.

The stone will be in flight for 3 seconds.

What is the vertex of y=-3x^2+6x+15? Help is much appreciated.

Answers

Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

vertical stretch of the graph f(x)= x² by a factor of 5

PLEASE HELP!!​

Answers

Answer:

f(x) = 5x^2

Step-by-step explanation:

A vertical stretch is in the y direction

y = Cf(x)  C > 1 stretches it in the y-direction

f(x) = 5x^2

Solve for r in the following equation: 2 (3+x) = 3r-4
A. 7/3
B. 5
C. 7
D. 10

Answers

Answer:

7/3 is the answer.

Hope this helps.....

Have a nice day!!!!

Which account has the highest effective annual interest rate? Account 1: Interest is compounded quarterly at an annual rate of 4.20%. Account 2: Interest is compounded monthly at an annual rate of 4.15%. Account 3: Interest is compounded semiannually at an annual rate of 4.10% Account 4: Interest is compounded annually at a rate of 4.25%.

Answers

Answer:

Account 1 has the highest effective annual interest rate (0.042666142)

Step-by-step explanation:

Hi, to answer this question we have to apply the Effective Annual Interest Rate formula:  

EAIR = [(1+r/n)^n ]-1

Where:

r = nominal interest rate

n = number of periods

If interest is compounded annually, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12

SO:

Account 1: Interest is compounded quarterly at an annual rate of 4.20%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.20/100)/4)^4 ]-1 = 0.042666142

Account 2: Interest is compounded monthly at an annual rate of 4.15%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.15/100)/12)^12 ]-1 =0.042298535

Account 3: Interest is compounded semiannually at an annual rate of 4.10%

EAIR = [(1+r/n)^n ]-1 = [(1+(4.10/100)/2)^2]-1 = 0.04142025

Account 4: Interest is compounded annually at a rate of 4.25%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.25/100)/1)^1 ]-1 = 0.0425

Since:

0.042666142 (1) < 0.0425 (4) < 0.042298535(2) <0.041420258(3)

Account 1 has the highest effective annual interest rate 0.042666142

The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the same purchase what is the cost of the purchase?

Answers

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

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A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be after 13 years?

Answers

Answer:

427,350

Step-by-step explanation:

so you do 7.25×13=94.25

and then you do 94.25%×220,000=207,350

So you can now do 207,250+220,000 (which) =427,350

Find the length of an earthworm 4 hours after its birth

Answers

Answer:

Maximum is 14 inches so maybe 5 inches?

Step-by-step explanation:

(PLEASE HELP) Match each hypotenuse length with the leg lengths that will create a right triangle.

Answers

Answer:

Step-by-step explanation:

(√2)^2 + (√5)^2 =

2 + 5 = 7

But that equals the hypotenuse squared. The actual value will be √7

======================

(√3)^2 + 4^2 =

3 + 16

19          But this equals the hypotenuse squared, so the answer is actually (√19 )  which isn't there. It might be a right triangle, but none of the answers match this one.

===========================

2^2 + (√5)^2 = 4 + 5 = 9

This is the square of the hypotenuse. √9 = 3 which is the last one.

===========================

(2)^2 + (2)^2 = 4 + 4 = 8

But the hypotenuse will be √8

==========================

1^2  + 2^2 = 1 + 4 = 5

The hypotenuse is √5

Answer:

√8 ==> 2 units, 2 units

√7 ==> √5 units, √2 units

√5 ==> 1 unit, 2 units

3 ==> >2 units, √5 units

Step-by-step explanation:

¿que son los cuadriláteros?

Answers

Answer:

Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.

Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.

Step-by-step explanation:

HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°

Answers

Answer:

71°

Step-by-step explanation:

m∠1 = (SR + TU)/2

m∠1 = 63°

SR = 55°

substitute into the equation

63° =(55° - TU) / 2

TU = (63° * 2) - 55°

TU = 71°

If (Fx) = Square root 4x+9+ 2, which inequality can be used to find the domain of f(x)?

A.Square root 4x is greater than or equal to zero
B.4x +9 is greater than or equal to 0
C. 4x is greater than or equal to 0
D.Square root 4x+9 +2 is greater than or equal to 0

Answers

Answer:

Third one 4x+9

Step-by-step explanation:

We khow that any any real number inside the root should be positive

Our root is [tex]\sqrt{4x+9}[/tex]

4x+9 shoul be positive wich can be expressed mathematically by:

4x+9≥0

Tamara earns 2,050 every month. She spends 65% on the amount that she earns. The rest of the money is equally divided and deposited into two seperate accounts. How many months until tamara has deposited more than 2,500 in one of her accounts

Answers

Answer:

Tamara earns $2,050 each month.

She spends 65% of that, so the amount that she spends is:

S = (65%/100%)*$2,050 = 0.65*$2,050 = $1,332.50

Then the amount that she has left is:

R = $2,050 -  $1,332.50 = $717.50

Now she divides that in half, and deposits those amounts in two separate accounts.

She deposits $717.50/2 = $358.75 in each acount.

Then she deposits $358.75 per month, so after x months she has:

x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:

x*$358.75 = $2,500

x = $2,500/$358.75 = 6.96

So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:

After 10 months Tamara has deposited more than 2,500 in one of her accounts.

How many solutions does the equation 3x + 6 =- 1 - 3 + 4x have?
TWO
Zero
One
Infinitely many

Answers

Answer:

one solution

Step-by-step explanation:

3x + 6 =- 1 - 3 + 4x

Subtract 3x from each side

3x-3x + 6 =- 1 - 3 + 4x -3x

6 = -4+x

Add 4 to each side

6+4 = -4+4+x

10 =x

One solution

Answer:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Step-by-step explanation:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.




A. 195.4 yd


B. 123.7 yd


C. 97.5 yd


D. 105.1 yd

Answers

Answer:

97.5

Step-by-step explanation:

Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank

Answers

Answer:

d

Step-by-step explanation:

What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation

Answers

Answer:

H

Step-by-step explanation:

here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.

focus on N and move on anti clockwise.

When N rotates anti clockwise about center from original to position G, is 60°,

when N moves on anti clockwise about center from original to position A is 120°.

similarly, to X is 180°, to E is 240° and to H is 300°.

so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.

please help!!!!!!!!!!!

Answers

Answer:

The x value of the point 1/4 the distance from point C to point D is -0.25

Step-by-step explanation:

The given information are;

The location of point C = (1, 2)

The location of point D = (-4, -2)

The point 1/4 from point C to point D is the point 3/4 from point D to point C

Which gives;

The coordinate at point D + 3/4× The difference between the coordinates of point C and point D

Which is (-4 + 3/4×(1 - (-4),  - 2 + 3/4×(2 - (-2))

Which gives;

(-4 + 3.75, -2 + 3)  and (-0.25, 1)

The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)

Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.

Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu

Answers

Answer:

[tex]\frac{7}{12}[/tex] of the cake

Step-by-step explanation:

add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.

a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24

b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]

c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]

subtract found value from total to find left over cake.

a. 24 - 7 = 14

simplify.

a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]

You are left with [tex]\frac{7}{12}[/tex] of the cake.

simplify 4551 * 5541​

Answers

Answer:

25,217,091

Step-by-step explanation:

4551 * 5541 = 25,217,091

Answer:

4551*5541=25217091

Step-by-step explanation:

identify the coefficient of X

1. 2x

2. -5x

3. 49x

4. -6x²

5. 3xy²​

Answers

The coefficient on X is 1.

Answer:

2

-5

49

-6

3

Step-by-step explanation:

Coefficient is a number, value or item that serves as a measure of some property or characteristic.

or in other words a number that is added in front of a term.

Hope this helps ;) ❤❤❤

The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view

Answers

Answer:

(E) including reminders to watch the endorsement, compare signatures, and view

Step-by-step explanation:

The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.

Carrie works 40 hours a week spend 15% her tome in the register 30% her time greeting customers remainder of her time I'm maintenance what % is her time spent in maintenance

Answers

Answer:

[tex]Maintenance = 55\%[/tex]

Step-by-step explanation:

Given

[tex]Time = 40\ hours[/tex]

[tex]Register = 15\%[/tex]

[tex]Greetings = 30\%[/tex]

Required

Percentage of time spent in maintenance;

From the given parameters,She spends the rest of her time in maintenance;

This implies that

[tex]Register + Greetings + Maintenance= 100\%[/tex]

Substitute 15% for Register and 30% for Greetings

[tex]15\% + 30\% + Maintenance= 100\%[/tex]

[tex]45\% + Maintenance= 100\%[/tex]

Subtract both sides by 45%

[tex]45\% - 45\% + Maintenance = 100\% - 45%[/tex]

[tex]Maintenance = 100\% - 45%[/tex]

[tex]Maintenance = 55\%[/tex]

Hence, the percentage of time spent in Maintenance is 55%


Factorise each expression.

Answers

Answer:

Multiple Answers

Step-by-step explanation:

A) c^2+4c

  (c+2c)^2

We just needed to see the sqrt of the terms

d) No perfect sqrt, so this is a coomon factor problem

3m(m+1)

g) Another common factor problem

3x(2x+1)

j) another common factor problem

3y(9y-5)

Answer:

a- c²+4c

    c(c+4)

d- 3m²+3m

   3m(m+1)

g-  6x²+3x

    3x(2x+1)

j- 27y²-15y

  3y(9y-5)

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