what is the range of possible sizes for x?

What Is The Range Of Possible Sizes For X?

Answers

Answer 1

Answer:

0.5 < x < 15.5

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5


Related Questions

Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)

Answers

Answer: 30 + 45 = 15(2 + 3)

Step-by-step explanation:

The greatest common factor for 30 and 45 will be gotten as follows:

Factor of 30 = 2 × 3 × 5

Factor of 45 = 3 × 3 × 5.

GCF = 3× 5 = 15

Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:

30 + 45 = 15(2 + 3)

Evaluate the following expressions given x=6 and y=-3

Answers

a.

[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]

[tex] = 30 + 12[/tex]

[tex] \blue{ = \boxed{42}}[/tex]

b.

[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]

[tex] = 36 - 2[/tex]

[tex] \blue{ = \boxed{34}}[/tex]

c.

[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]

[tex] = {1}^{3} + 9[/tex]

[tex] = 1 + 9[/tex]

[tex] \blue{ = \boxed{10}}[/tex]

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Hope it helps

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If 5 boxes of girl scout cookies cost $20, how many boxes of girl scout cookies can I buy for $36?

Answers

You can buy 9 boxes of Girl Scout cookies

Answer:

9

Step-by-step explanation:

20 / 5 = 4  36 / 4 = 9

A skateboarder rides by my office every 8 minutes, and a cyclist rides by every 10 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?

Answers

Answer:

40 minutes

Step-by-step explanation:

10 times 4 = 40

8 times 5 = 40

so they will cross paths after 40 minutes of riding

Which of the following transforms y= x2
the
graph of y = (x + 5)2 ?
a translation 5 units to the right
a translation 5 units to the left

a translation 5 units down

a translation 5 units up
hing

Answers

Answer:

a translation 5 units to the left

Step-by-step explanation:

                                                 Answer

                                       Part 1: B. 5 units left

                                     Part 2: C. 7 units down

                                             Hope it helps!

                                     Have an amazing day!!

                                                     ^ω^

-- FTS

Rashida keeps her collection of 162 books on three shelves there are 42 books on the first shelf there are x books on the second self the number of books on the third shelf is 2 times the number of books on the second shelf what is the value of x the number of books on the second shelf

Answers

Answer:

f

Step-by-step explanation:

162-42=120

divide 120 by the other 2 shelves and get 60. if its 2 times the number of books on the second shelf its 60.

Divide.

511÷411
Enter the correct answer in the box.

Answers

Answer:

1.24

Step-by-step explanation:

Answer:

1.24330900243

Step-by-step explanation:

I did the whole equation on paper

what is 9/32 + 7/8 plz help

Answers

Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

Please mark as brainliest!

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answers

Solution B is the one she should use

A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 6 in. What is the area of the outer part of the rug?​

Answers

36-x squared i don’t know if it’s right sorry

the formula for simple interest is

Answers

Answer:

p(r+1)

Step-by-step explanation:

Hope this helps

Answer:

I= prt

Step-by-step explanation:

P=Principle

R= Rate

T=Time


Find the measure of all the indicated angles.
Help please !!

Answers

The answer is 540 bc no three sides are congruent

If you were to measure the length of a typical driveway, which unit would make most sense to measure it in?

Answers

Answer:

Feet

Step-by-step explanation:

The unit that makes the most sense is feet. Inches are too small and miles are too long, yards are not that common in building feet is the standard unit.

find the simple interest on each amount 1500 at 11% for two years

Answers

Answer:

330.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 11%/100 = 0.11 per year,

then, solving our equation

I = 1500 × 0.11 × 2 = 330

I = $ 330.00

The simple interest accumulated

on a principal of $ 1,500.00

at a rate of 11% per year

for 2 years is $ 330.00.


Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)

Answers

Answer:

m=2

Step-by-step explanation:

math is hard

Answer:

2

Step-by-step explanation:

The equation for finding slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

What is 2x + 7y = -14 in y=Mx+b form

Answers

Answer: y= -2/7x-2

Step-by-step explanation:

Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. 14 ft 11 ft 12 ft - To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I did the test.

What is the coefficient of 3y+7?

Answers

Answer:

3

Step-by-step explanation:

it's 3 because the number is infront of a variable

Mr. Pickle bought an iPod from his friend who claims that the iPod was worth $250.00
when he bought it. The iPod's value decreases exponentially at the same rate each
year, and one year later the iPod's value is $187.50. By what percentage is the iPod's
value depreciating each year?

Answers

Answer:

437.5

Step-by-step explanation:

i added both of em

find x for this please.

Answers

It’s b because the opposite angle is 120 so 30 x 4 = 120°

Answer:

B) 4

Step-by-step explanation:

just plug in the numbers from your answer choices and see which one gets you to 120 since it is the opposite angle from 30x

I don’t know how to complete this problem. Can anyone help out? Please and thank you :)

Answers

.....................

7 + -6 = what is the answer​

Answers

Answer:

answer is 1

I hope it's helps you

Answer:

the answer is 1

Step-by-step explanation:

Hopes this helps...

Helppp meee pleaseee

Answers

Answer:

I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5

PLZ HELP ME ASAP PLZ

Answers

Answer:

14

Step-by-step explanation:

5×2²-2-4

5×4-2-4

20-2-4

18-4

14

Answer:

Rewrite the absolute value equation as four equations without absolute value bars.

5z−2=z+65−2=−(z+6)−(5z-2)=z+6−(5z−2)=−(z+6)

After simplifying, there are only two unique equations to be solved.

5z−2=z+65z−2=−(z+6)

Solve

5z−2=z+6 for z.

Tap for more steps...

z=2

Solve

5z−2=−(z+6)for z.

Tap for more steps...

z=−23

List all of the solutions.

z=2,−23

The result can be shown in multiple forms.

Exact Form:

z=2,−23

Decimal Form:

z=2,−0.6

Step-by-step explanation:

it is 0.6

I need help- Badly I forgot how to do this- yikes

Answers

Answer:

Step-by-step explanation:

An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)

Does this table represent a function? Why or why not?
A. Yes, because the y-values are positive numbers
B. No because each x value is different
C. No because none of the y values are the same
D. Yes because every x value corresponds to exactly one y value

Answers

Answer:

D) Yes, Because every x-value corresponds to exactly one y-value

Step-by-step explanation:

I did this, got it correct

how would the numbers 6870000 appear in scientific notation on a calculator screen ​

Answers

Answer: D

Step-by-step explanation:

-12{-8+[4(2-5)-(-10-2)]}​

Answers

-12(-8+(4*2-4*5)+10+2)

-12(-8+(8-20)+12)

-12(-8-12+12)

-12(-8)

96

Which other expression has the same value as (-14)-(-8)

Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)

Answers

Answer:

(-14)+(-8)

Step-by-step explanation:

the answer is a!
Explanation
(-14)-(-8)= -6

a= -6
b=22
c=6
d=-22
Hope this helped!

WHAT DOES N = HELP ITS DUE IN 10 MINUTES

Answers

Answer:-7

Step-by-step explanation:

Answer:

N = -7

Step-by-step explanation:

16 - 9 = -7

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