if the sides of a triangle QRS are QR=10X-6, RS=6X-15,QS=X+24, find a range of possible values for X?​

Answers

Answer 1
X+44 or change ur equations to a better understanding
Answer 2

The range of the possible values for X will be;

⇒ X < 5

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle QRS are;

⇒ QR=10X - 6,

⇒ RS = 6X - 15,

⇒ QS = X + 24,

Now,

We know that;

The sum of two sides of a triangle is always greater than the third side.

So, We can formulate;

⇒ 10X - 6 < (6X - 15) + (X + 24)

⇒ 10X - 6 < 7X + 9

⇒ 10X - 7X < 9 + 6

⇒ 3X < 15

⇒ X < 5

Thus, The range of the possible values for X will be;

⇒ X < 5

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Related Questions

Another juice recipe uses 12
cups of grape concentrate
and 16 cups of water. Will
this mix be more or less
"grapey” than the problem to
the left? How do you know?

Answers

Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

Andy is a landscaper, Yesterday, he planned a 2- foot- tall elm tree and a 14- foot tall maple tree. The elm tree is expected to grow 5 feet taller each year. The maple tree is expected to grow 2 feet taller each year. At those rates, in how many years will the tree be the same height?

Answers

At the end of the the fourth year all the trees will be the same height

here a subtraction problem that has been solved incorrectly what is the right way 74-25=59​

Answers

Answer:

Answer:

the equation is wrong

Step-by-step explanation:

=> 74-25=59

since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly

=> 59+25

add 59 to 25

=> 84

this means the question is wrong


The numbers 1, 2, 3, 4, 5, 6 are written on identical cards and placed in a bag. A card is selected at
random from the bag. Let A be the event "əb even number is chosen: and let B be the event "a square
number is chosen." Are events A and B independent?

Yes
No

Answers

Answer:

yes yes yes yes yes yes yes

No, events A and B are not independent.

How are events A and B not independent?

Given:

The numbers 1, 2, 3, 4, 5, and 6 are written on identical cards and placed in a bag.A card is selected at random from the bag.Let A be the event that an even number is chosenLet B be the event that a square is chosen.

Find:

Are events A and B independent?

Solution:

As per the question;

Event A will be having 2, 4 and 6

Event B will be having 2 and 4

So, from above we can see that B is dependent on A.

Therefore, Yes events A and B are not independent.

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Richie says that the least common multiple of a pair of prime numbers is the product of two numbers. Is he right or wrong? Explain why,

Answers

true
lcm = the lowest multiple of both numbers
to get this you would usually multiply all the prime numbers that the original number can be split into, since the chosen numbers are both primes (a number that is only divisible by itself) there is no need and the only thing we can do is multiply them together

Royell sold his shoes and put $1000 into a savings account with an interest rate of 5%. How much money will be in his account if he doesn't touch it after 7 years?
A $20,000
B $700
C $1,350
D $1,500​

Answers

Answer:

C.

Step-by-step explanation:

(1,000)(0.05)(7)

I = $350

1,000 + 350

=$1,350

convert the following equation from standard form to slope- intercept form. pls and thank you

Answers

Answer:

y=-4x-1

Step-by-step explanation:

All you have to do is isolate the "y", so you subtract 4x from the left and right side, leaving you with the answer above.

The answer to you’re question is y = -4x - 1

A guitar effects pedal enthusiast is going to a gear convention where people sometimes break out their own custom pedals to show off or trade. She has 5 different pedals she's thinking about packing with her, but she's not sure whether she should bring all of them, some of them, or none of them. How many different ways are there for her to decide whether and how many pedals to pack? Use subsets to help you figure this out, and write your answer as a whole number.

Answers

There are 32 different combinations that she can select out of the 5 pedals.

How many different combinations there are?

We want to get the total number of different combinations that we can make with 5 different pedals.

Remember that for a set of N elements, the number of different sets of K elements that we can make is:

[tex]C(N, K)=\frac{N!}{(N - K)!*K!}[/tex]

In this case, the total number of different combinations that we can make with the 5 pedals is given by:

C = C(5, 0) + C(5, 1) + C(5, 2) + C(5, 3) + C(5, 4) + C(5, 5).

Let's calculate each one of these:

[tex]C(5, 0) = \frac{5!}{(5 - 0)!*0!} = \frac{5!}{5!} = 1\\\\C(5, 1) = \frac{5!}{(5 - 1)!*1!} = \frac{5!}{4!} = 5\\\\C(5, 2) = \frac{5!}{(5 - 2)!*2!} = \frac{5!}{3!*2!} = \frac{5*4}{2} = 10\\\\C(5, 3)= \frac{5!}{(5 - 3)!*3!} = \frac{5!}{3!*2!} = \frac{5*4}{2} = 10\\\\\\C(5, 4) = \frac{5!}{(5 - 4)!*4!} = \frac{5!}{4!} = 5\\\\C(5, 5) = \frac{5!}{(5 - 5)!*5!} = 1[/tex]

So the total number of different combinations is:

C = 1 + 5 + 10 + 10 + 5 + 1 = 32

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Which of the following is not a linear function?

Answers

Answer:

A

Step-by-step explanation:

Choice A contains a x^2 term. This is a quadratic term. Therefore it is not a linear function.

In the triangle below, what is the length of Ac?
B
60°
14
60°
60°
А
с

Answers

Answer:

A-14

Step-by-step explanation:

All the angles of the triangle ABC are 60°.

Therefore it is an equilateral triangle.

All sides of an equilateral triangle are equal.

Hence, AC = 14

Grace had a maturity value of $6,682.50 on an original investment of $6,000. She earned 6.5% annual simple interest. What was the duration of Grace’s investment?

Answers

Answer:

A = p(1 + rt)

Step-by-step explanation:

6682.50 = 6000(1 + 0.065t)


Which of the following statements are correct?

Answers

the statement that is correct is E

Ben takes out a personal loan of £1200 with a simple interest rate of 20% for a term of 3 years how much is the total cost of the personal loan after 3 years?

Answers

Answer:

$1920

Step-by-step explanation:

Original amount: £1200 x Simple interest rate: 0.2 x number of years: 3 = 720

Add Original onto simple interest

£1200 + £720 = £1920

Total Cost of personal loan after 3 years = £1920

Help me i have to do this thing for maths and i am dead HeLp Me



A CONTAINER HAS A VOLUME OF 860CM3
FIND ITS CAPACITY ???????

Answers

]

Step-by-step explanation:

5. Dana had $700. She spent 1/2 of her money on car note and 1/4 of the remainder on car
insurance. How much money is left with her?

Answers

Answer:

the answer is 87.5.

Step-by-step explanation:

If you divide 700 by 2 it equals 350. Then when you multiply 350*0.25, 87.5 or 87 1/2 is your answer

Brad plans to bike 15 miles. He has gone of the entire
distance. How far has he gone?

Answers

Answer:15 miles

Step-by-step explanation: well he biked for all of the 15 miles!?

Answer:

If he wants to bike 15 miles and completes it, then he’s gone 15 miles.

divide 60 sweets between sabrina and her sister angela so that sabrina fets thrice as many as angela​

Answers

let the number of sweets with Angela be " x "

and , let the number of sweets with Sabrina be " 3x "

Then ,

[tex]\bold{x + 3x = 60} \\\\\bold{ 4x = 60} \\\\\bold{ x = \cancel \frac{60}{4}} \\ \\\fbox\pink{ x = 15}[/tex]

Hence ,

number of sweets with Angela = 15

number of sweets with Sabrina = 3(15) = 45

hope helpful~

how can you tell if a fracion is a unit fraction

Answers

A unit fraction is any fraction with 1 as its numerator (top number), and a whole number in the denominator (bottom number).

a unit fraction has 1 as its numerator and any integer or whole number as its denominator

2. Vince is a member of a card club. He pays a fixed fee of $55 annually
He must pay $9 for every game he attends. He attended 12 games this year.
What is the total amount that he paid this year?

Answers

The equation computed shows that the total amount that Vince paid this year is $263.

How to solve an equation?

From the information given, Vince pays a fixed fee of $55 annually and must pay $9 for every game he attends.

The equation to solve the question will be:

= 155 + 9x

= 155 + 9(12)

= 155 + 108

= $263

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Find the 5th term in the sequence a,= 8-2(n-1)

Answers

Answer:

0

Step-by-step explanation:

a₅ = 8 - 2(5 - 1) = 8 - 2(4) = 0

The corresponding side lengths of two
figures have a ratio of What is the ratio of the perimeters? the ratio of
or
the areas?

Answers

Answer:

you make a question that lacks explanation

If y=16 when x=4 find y when x=6

Answers

Step-by-step explanation:

Hi! An easy way to find an answer to questions like this is to do a table

y=16 : x=4

Now, add up X and Y together until X reaches 6

y=16 x=4

y=17 x=5

y=18 x=6

As you can see, when x is 6, y is 18.

Hope this helps!

Lucy has a job where she has a take-home salary each month of $2700, Ir Lucy wants to spend no more than 15% of her monthly take-home salary on her car payment,
how much can she afford?

Answers

Answer:

$405

Step-by-step explanation:

2700 x 0.15 = 15% of 2700

choose the sentence that complete the fact family like 56÷7=8 7×8=56 56÷8=7 is it a 8×7=56 b 56×1=56 c 1×56=56 d 2×28=36 is it abc or d​

Answers

Answer:

A

Step-by-step explanation:

Flip the previous answers around and you will get it right!!

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

Answer:

A) 8 x 7 = 56

Step-by-step explanation:

Let's look at the information we have.

This is the part of the family we are given:

56 ÷ 7 = 8

7 x 8 = 56

56 ÷ 8 = 7

We can see that we have one equation that's multiplying, but two equations that are dividing.

That means we probably need another equation with multiplying.

For the division equations, we have one with the 7 in front of the 8, and one with the 8 in front of the 7.

That means we should have the same for the multiplication ones.

We have one with 7 x 8, so we should have another with 8 in front of the 7

The answer is A.

8 x 7 = 56

Can someone please help me?

Answers

Answer:452.38934211693

Step-by-step explanation:

What is 1235533+1344145

Answers

Answer:

2579678

...

...

....

....

Answer:

2579678

Step-by-step explanation:

please help me with this one too , Thank you​

Answers

6(7) -8 /2
42 - 8 / 2
34 / 2
17

James has 16 pounds of coffee that he wants to distribute evenly between 2/3 pound bags. How many bags does he need? *

Answers

Answer:

24 bags

Step-by-step explanation:

16 is 48/3. 48 divided by 2 is 24.

Matt has $39.25 to spend on drum classes. Each
class costs $9 plus a one-time registration fee of
$3.25. Let the variable y represent the number of
classes. Write an equation that represents the
number of classes Matt can attend for $39.25?

Answers

Answer:

The equation is, y = 9x + 3.25 and spending $39.25 will give him 4 classes.

explain it i’m so confused

Answers

Answer: 2.4A because of the wire length

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