Two sides of a triangle have lengths of 7 and 15. Which inequality represents the possible lengths for the third side?

A) 8 < x < 7
B) 7 < x <15
C) 8 < x < 15
D) 8 < x <22

Answers

Answer 1

Answer:

D

Step-by-step explanation:

From the triangle inequality, we know that the two small sides must be greater than the largest side. Let's let x be the third side:

[tex]7+15>x[/tex]

However, 15 can also be our largest side. So:

[tex]7+x>15[/tex]

Let's solve for x for both inequalities.

First inequality:

[tex]7+15>x[/tex]

Add:

[tex]22>x[/tex]

Flip:

[tex]x<22[/tex]

Second inequality:

[tex]7+x>15[/tex]

Subtract 7 from both sides:

[tex]x>8[/tex]

So, we have the compound inequality:

[tex]x>8\text{ and } x<22[/tex]

Combine:

[tex]8<x<22[/tex]

Our answer is D

And we're done!


Related Questions

URGENT: HELP NEEDED NOW PLEASE :(
Please include steps and please get them right
1.) 5.8 x (-14)
2.) (-1 and 1/3) (-2 and 1/2)
3.) -2 and 1/4 divided by 1 and 1/2

Answers

1) -(5.8x14) = -406/5 = -81.2
2) (-1/3)(-1) = 1/3 = 0.3333333....
3) -2 + 1/4 / 1 + 1/2
-7/4 / 3/2
-1.75 / 1.5 = -7/6 = -1.166....7

What do you mean by “and”?????
Is it divided or add??
I’m only sure about the first one but tell me what and mean

A loan officer earns a salary of $22,500 and 0.4% commission on total sales. He also gets a service fee of $1.75 on every loan preapproval application he processes. Assume the loan officer processes an average of $100,000 in loans each week and completes 8 preapproval applications each week. How much will he earn this year?

Answers

Answer:

$231,228.00

Step-by-step explanation:

100,000 * 52 = 520,000

520,000 * 0.4 = 208,000

8 * 52 = 416

416 * 1.75 = 728

208,000

+ 22,500

+       728

___________

$231,228.00

Dillon decided to construct a rectangular deck in his back yard. It is 16 feet long and 13 feet wide. He is trying to determine whether he should construct the deck using cedar or a pressure treated material.

The cedar costs $21.09 per square foot for materials.

The pressure treated material costs $18.90 per square foot for materials.
The cost for labor will be the same for either material.

How much money would Dillon save installing a deck with pressure treated material instead of cedar? Explain or show your reasoning. You may use diagrams, drawings, or equations as well as words.

Answers

Answer:

Step-by-step explanation:

d for yearsd for yearsd for yearsd for yearsd for yearsd for yearsd for yearsd for years

The labor of the fact that the money is supposed to help Dillon

Find the range of allowable values based on the given information. Round to the nearest tenth.

24; can vary by 3.5%

Answers

Answer:0.9 hope this helps

Step-by-step explanation:24×3.5%=0.84 so round to nearest tenth is 0.9.

0.9 because u have to do the steps or something

3 · -8 + 5 - 4 ÷ 2

I need answer asap

Answers

Answer:

-21

Step-by-step explanation:

3•(-8)+5-4\2

-24+5-4\2

-24+5-2

-19-3

-21

The square below is the resulting cross section of which of the following diagrams?

Select all that apply

Answers

The answer is b and d

Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees?
A) 5 months
B) 6 months
C) 7 months
D) 8 months Help!

Answers

Answer:

5 months

Step-by-step explanation:

30x5=150

350-150=200

Answer:

$350 - $200 = $150 ÷ $30 = 5

=> A) 5 months

PLEASE HELP NOW!!! 13 POINTS!
5. (1, 1) and (3, 5)

The equation for these ordered pairs is y = 2x + 1

A. True
B. False

Answers

True. Using the equation y2-y1 / x2-x1
The new equation should look like this 5/1-3/1 and the equals to = 4/2 and that simplify is 2. So the answer 2 we just got is the slope. So we just add the letter x since that represents slope. Making the equation y=2x+1 true.

Help 100 Points + Brainlyest 8th grade math Look at the pics below

Answers

Answer:Answer:ill help whats the question? can i get brainiest?

Step-by-step explanation:The time taken by car to pass the truck is 1.125 hours

Solution:

A truck enters a highway driving 60 miles per hour a car

The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway

Let us first convert 9 minutes to hours

Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'

We know that,

For truck : ----------- eqn 1

For car: ------------ eqn 2

From equations (i) and (ii)

Thus the time taken by car to pass the truck is:

Thus the time taken by car to pass the truck is 1.125 hours

Answer

1

PiaDeveau

   Ace

   4.7K answers

   16.8M people helped

Number of miles that marker shows when passes through town= 160 miles.

Number of miles that marker shows currently to John = 115 miles.

We need to find the distance between town and John's current location.

For the problem, we can clearly see that Town is at 160 miles away but when John passes the marker shows 115 miles.

So, it's just the difference between 160 miles and 115 miles.

In order to find that difference, we need to subtract those two numbers.

160miles - 115miles = 45 miles.

So, we could say the distance between town and John's current location is 45 miles.

He'll be able to make 6 shelves.

Step-by-step explanation:

In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:

total amount = 83 1/2 inches = 83.5 inches

amount per shelve = 12 3/4 inches = 12.75 inches

amount of shelves = total amount/amount per shelve

amount of shelves = 83.5/12.75 = 6.55 shelves

Since he can't make half shelves he'll be able to make 6 shelves and have left over material.

4.5 hours

30 minutes times 9 shelves equals 270

270 minutes translates into 4 and half hours

x=initial deposit amount.

we have to add to the initial deposit amount the incomes and subtract the withdrawal

x+($75.5+$55.25)-($25.15+$18.65)=$210.85

Now we solve this equation.

x+$130.75-$43.8=$210.85

x+$86.95=$210.85

x=$210.85-$86.95

x=$123.9

Step-by-step explanation:

How are real numbers used to describe real-world solutions? Complete the explanation.
Real numbers, such as the (selert)
number 1 can describe amounts used in cooking.

Answers

Answer:

Real numbers such as "1,2,3.." can descrive amounts of ingredients used in cooking.

Step-by-step explanation:

PLEASE HELP ME PLEASE PLEASE THANK YOU
The table below shows the cost for varying amounts of grapes on a particular day at a grocery store. Which statement best identifies the slope of an equation of a line of best fit for the data in the table and its meaning in the context of the problem?

A.) The slope is $5.60/pounds, and it represents the weight of the grapes.
B.) The slope is $2.24/pound, and it represents the weight of the grapes.
C.) The slope is $2.24/pound, and it represents the cost for each pound of grapes.
D.) The slope is $5.60/pound, and it represents the cost for each pound of grapes.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

help plzzzzzzzzzzzzzz giveing brainlist

Answers

Answer: A

Step-by-step explanation: the answer would be a Ptolemy III ruled over a kingdom of peace and Ptolemy XIV over saw the development of beautiful architecture.

i know this because i have studies on this in the past and did a question just like that and got it correct. hope this helps oh and maybe try giving me brainlest.

An expression is shown, where a is a positive number less than 1, b is less than 0, and |a|<|b|.



a−b× a


Choose all statements that are true about this expression:


A)The product is equal to 1.


B)The product is less than 1.


C)The product is greater than 1.


D)The product is a positive number.


E)The product is a negative number

Answers

Answer:

i think it is B and E

Step-by-step explanation:

B and E that’s ur answer

Norah bought a guitar that was on sale for 15% off the regular price of $200. The total cost included 8% sales tax. What was the total cost?

A)$186.00

B)$183.60

C)$178.00

D)$176.80

Answers

The answer would be $183.60.

Answer:

B

200 minus 15%= 170

170 plus 8% = 183.60

HELP ASAP!!!
Complete the net worth statement. What is the net worth of the individual?

A) $1,129,718

B) $263,318

C) $518,095

D) $611,623

Answers

A is the answer because its right according to the chart
The answer is A
I took the test

Find the value of the power.
[tex] {38}^{0} [/tex]
The value of the power is ​

Answers

Answer:

To find the value of (6/7)², we have to multiply the base 2 times. Solution : To find the value of (0.5)³, we have to multiply the base 3 times

Step-by-step explanation:

I hope this what you were looking for?

i’m pretty sure it’s 1

Evaluate 4ac for a = 1 and c = 12

Answers

You out 1 in for A and 12 in for C 4(1)(12) = 48

what is 5 divided by 4/9

Answers

The answer is 11 1/4

Answer:

11.25

Step-by-step explanation:

You have to flip the sign and the fraction

5*9/4

45/4

11.25

hello everyone right now i started at 9:30 mt and I have to do 3 hours of work I have to do a 30 minute zoom at 11 what time will I be done

Answers

Answer:1:00

Step-by-step explanation:mark me as brainliest

1:00 PM I think. Your zoom is gonna cut one class in half.

Hello I need help if you have sometime will you help me? Thank you :)

Answers

Answer:

blank 1: 0.54

Blank 2 : 1.08

Blank 3: 0.12

Blank 4 : 1.62

Blank 5: 0.34

Blank 6 : 4.59

Step-by-step explanation:

Answer:

2 row 0.12 0.16 3 row is

Step-by-step explanation:

1. There are 26 letters in the alphabet. If A = 1 and Z = 26, what is the sum of B and Y?
2. There are 26 letters in the alphabet. If A = 1 and Z = 26, what is the product of C and G?
3. There are 26 letters in the alphabet. If A = 1 and Z = 26, what is the product of M and P?
4. If 1 inch equals 2.54 centimeters, how many centimeters are in a foot?

Answers

Oh yeah he’s right. Just scroll up from my answer to see the correct answer.

What is the value of x, if the perimeter of the rectangle is 37?

This is the problem :

Answers

Answer:

X= 3.7

Step-by-step explanation:

Perimeter of rectangle= 2(L+B)

37= 2(4X+X)

37= 2(5X)

37= 10X

37/10=X

3.7= X

Katherine uses 7/10 of a gallon of red paint to paint 3/5
of her wall??

Answers

whats the question?...

I need help please somebody answer ASAP please I’d highly appreciate it

Answers

Answer:

2.(b) w= 3

3. x= -3 or x= 3

Step-by-step explanation:

2.(b) Method 1:

[tex] \frac{2w - 1}{5} + w + 2 = 2w \\ \frac{2w - 1}{5} = 2w - w - 2 \\ [/tex]

Simplify:

[tex] \frac{2w - 1}{5} = w - 2[/tex]

×5 on both sides:

[tex]2w - 1 = 5(w - 2)[/tex]

Expand:

[tex]2w - 1 = 5w - 10[/tex]

Bring constants to 1 side, w terms to the other:

[tex]5w - 2w = 10 - 1[/tex]

Simplify:

[tex]3w = 9[/tex]

Divide both sides by 3:

[tex]w = 9 \div 3 \\ w = 3[/tex]

Method 2:

[tex] \frac{2w - 1}{5} + w + 2 = 2w[/tex]

Multiply by 5 throughout:

[tex]2w - 1 + 5(w + 2) = 5(2w)[/tex]

Expand:

[tex]2w - 1 + 5w + 10 = 4w[/tex]

Simplify:

[tex]7w - 9 = 4w[/tex]

+9 on both sides:

[tex]7w = 4w + 9[/tex]

-4w on both sides:

[tex]7w - 4w = 9[/tex]

Simplify:

[tex]3w = 9[/tex]

Divide by 3 on both sides:

[tex]w = 3[/tex]

3. [tex] \frac{6x - 12}{3} + 4 = \frac{18}{x} [/tex]

Multiply by 3x on both sides:

[tex] \frac{3x(6x - 12)}{3} + 3x(4) = \frac{3x(18)}{x} \\ x(6x - 12) + 12x = 3(18)[/tex]

Expand:

[tex]x(6x) - x(12) + 12x = 54 \\ 6x^{2} - 12x + 12x = 54 \\[/tex]

Simplify:

[tex]6 {x}^{2} = 54[/tex]

Divide by 6 on both sides:

[tex] {x}^{2} = 9[/tex]

-9 on both sides:

[tex] {x}^{2} - 9 = 0[/tex]

Factorise:

*Since a²-b²= (a +b)(a -b),

[tex] {x}^{2} - {3}^{2} = 0 \\ (x + 3)(x - 3) = 0[/tex]

Thus,

x +3= 0 or x -3= 0

x= -3 or x= 3

Answer:

w = 3

Step-by-step explanation:

(6x-12)/3 + 4 = 18/x

Simplify fraction

2x -4 +4 = 18/x

Combine -4+4=0 Divide by 2 to reduce

x = 9/x

Multiply both sides by x

x² = 9

x = 3, -3

Please answer the following:

Answers

Answer: The first two recipes will taste the same. The third one will taste different.

Step-by-step explanation: The first two recipes have the same ratio of 2 orange juice to 3 pineapple juice.

Answer:

The first two recipes will taste the same. The third one will taste different.

Step-by-step explanation:

8 1/7+ (-3/5)
Does anyone know what this is I need help?

Answers

Answer: 7.5428

Step-by-step explanation:

I used a calculator.

79/10 simplified: 7 9/10 in decimal form : 7.9

the sum of the numbers as a product of their GCF 42 + 24

Pls help

Answers

Answer:

The answer is 64

Step-by-step explanation:

64 should be ur answer:)

The median annual salary for a physician is $187,876.

If the physician pays an 8% income tax, how much money in dollars and cents will the physician pay for income tax?

Answers

Answer:

The answer is 15,030

Step-by-step explanation: How I know because I'm smart

WILL MARK YOU BRAINLEST IF YOU ANSWER CORRECTLY:

Steven and Anna start running from the school. Steven starts 15 seconds before Anna and runs at a rate of 3 feet per second. Anna runs at a rate of 4 feet per second. After how many seconds would Anna catch up with Steven?

Answers

Answer:

11.25 feet

Step-by-step explanation:

3*15=45;

45/4=11.25

Answer: After 15 seconds, Anna will catch up with Steven.

Step-by-step explanation: Set up the equation so that their distances will be equal at some time, x.

Distance = speed × time

3x + 15 = 4x . Subtract 3x from both sides

15 = 4x-3x

15 = x  The time is 15 seconds.

At that point their distances will be equal at 60 feet.

3(15) + 15 = 60

4(15) = 60

can someone help me plz

Answers

I’m not sure hold on I’ll look
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