In a triangle, PR is 12 more than twice PQ and QR is two more than 4 times PQ. If all three sides of the triangle have integer lengths, what is the largest possible value of x?

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

In a triangle, PR is 12 more than twice PQ and If all three sides of the triangle have integer lengths, what is the largest possible value of x?

From the attached diagram, x = PQ

We have sides:

PQ, PR and QR

PR is 12 more than twice PQ

PR = 12 + 2PQ

PR = 12 + 2x

QR is two more than 4 times PQ.

QR = 2 + 4(PQ)

QR = 2 + 4x

Hence: we solve using Triangle Inequality

The triangle inequality states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.

Based on this property, if you know the lengths of two sides of a triangle and are trying to find the range of lengths of the third side, you can add the two known side lengths together and subtract the smaller one from the bigger one. The third side must be greater than the sum of the other two sides and less than their difference.

PQ > PR + QR

PQ < PR - QR

Therefore:

x + 12 + 2x > 2 + 4x

3x + 12 > 2 + 4x

12 - 2 > 4x - 3x

10 = x

In A Triangle, PR Is 12 More Than Twice PQ And QR Is Two More Than 4 Times PQ. If All Three Sides Of

Related Questions

Find the indicated real nth root(s) of a.
n=4, a = 81
What are the 2 roots

Answers

Answer:

First one is 3 and I got no idea what the second one is.

Answer: 3, -3 (Don't mind this part, I am just taking up letter characters)

                                                                                                                                                                                                                                           

evaluate the question below
.
12-2

Answers

Answer:

=>12-2

=> 10

You're Welcome

Hope this helps you.

Pls, mark it as the brainliest. I need it.

-6=b8 one and two step problems

Answers

Answer:

b = -3/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-6 = b8

Step 2: Solve for b

Rewrite:                                 -6 = 8bDivide 8 on both sides:        -6/8 = bRewrite:                                 b = -6/8[Fraction] Simplify:                b = -3/4

Step 3: Check

Plug in b into the original equation to verify it's a solution.

Substitute in b:                     -6 = (-3/4)8Multiply:                                -6 = -24/4Divide:                                  -6 = -6

Here we see that -6 does indeed equal -6.

∴ b = -3/4 is the solution to the equation.

Red Street has a slope of ¼ and goes through the point (0, 5)
Write out this equation as y = mx + b

Answers

Answer:

y = 1/4x + 5

Step-by-step explanation:

Answer:

y = 1/4x + 5

Step-by-step explanation:

We need to write the equation in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept. We are given a slope of 1.4 and y-intercept of 5, so fill it into the formula.

y = 1/4x + 5

Best of Luck!

In the triangle ABC , Angle A = 46° and Angle B = 83°. How large is the exterior angle at C?

This is a problem with no diagram​

Answers

Answer:

180 - 46 - 83 = 51 is the measure of angle C

the exterior angle at angle C, and angle C, are supplementary. since angle C is 51 because of the interior angle triangle sum theorem, then the exterior angle is: 180 -51 = 129 degrees.

Step-by-step explanation:

I hope this helps :)

The length of a rectangle is 3x-4 and the width is x. The perimeter is 72 feet. What is the measure of the length?

Answers

Answer : The length is 26ft

First, you would have to set an equation to find the value of x. To find this equation you would multiply both expressions for length and width by two. You would get the expression (6x-8) for length and the expression (2x) for width. You would then add these and make them equal to the perimeter, 72. You would get the equation 8x-8=72. Solving this equation would give you x=10. You just plug this value of x into the expression for length, which gives you the answer 26 ft.

Answer:

26 is your answer. I hope this helps!

Step-by-step explanation:

A bag contains cards numbered from 1 to 14 one card is drawn at random find the probability of

a.) Selecting a prime number of a multiple of four

b.) selecting a multiple of two or a multiple of three

Answers

Answer:

One: P = 1/2 = 0.5

Two: P = 8/14 = 4/7 = 0.714

Step-by-step explanation:

One

I take it that the question is a prime number or 4.

P(four) = 1/14

The primes are 2,3,5,7,11,13. There are 6 of them

P(prime) = 6/14

P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2

Two

Multiple of 2 := 2 4 6 8 10 12 14

Multiple of 3 :=  9 in addition to 6 and 12 which cannot be counted twice.

P(2 or 3) = 8/14 = 4/7 = 0.714

Ana uses Talk-A-Lot and Peter uses Talk-to-Me. Each company charges
the same amount per hour of talk time, however Ana and Peter will never
be charged the same amount. Write a system of equations that could
represent the situation. Explain.

Answers

Answer:

They both talk for a different amount of time

8.
y = 5x - 1 and
-5x = -1-y put in you first!
Point of Intersection:

Answers

Answer: (0; - 1)

Step-by-step explanation:

y = 5x - 1 and  5x = - 1 - y

                      y = - 1 - 5x

5x - 1 = - 1  - 5x

5x = -5x

5x + 5x = -5x + 5x

10x = 0

x = 0

y = 5x - 1

y = 5 × 0 - 1 = - 1

Factor: w^2 + 16w + 63

Answers

Answer:

(w+7)(+9) I worked it out but not sure how to attach do yea

Step-by-step explanation:

Answer: (w + 7) (w + 9)

Step-by-step explanation: factor using the ac method

In ΔUVW, u = 8.1 cm, v = 8.4 cm and ∠W=102°. Find the length of w, to the nearest 10th of a centimeter.

Answers

Answer:12.8

Step-by-step explanation:

im begging please please help me

Answers


For the month he needs 5classes*10dollars= 50dollars
50dollars from classes +salary per month which is 50dollars=100dollars

A student pays for 8.6 pounds of apples with a ​$10 bill. How much change does the student​ receive?
What do you do first to solve the​ problem?

Answers

Answer:  - $9.70.

Step-by-step explanation:

The vertical jump record at Teresa's school is 23 inches. On Field Day
Teresa jumped 2 feet 3 inches. Did Teresa break the record?

Answers

Answer:

yes

Step-by-step explanation:

two feet is 24 inches plus 3 = 27 inches

Yes, she jumped 2 feet 3 inches = 27 inches, so she broke the old record of 23 inches.

The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the number of bracelets and n represent the number of necklaces.

Answers

Answer:

There is no question but if you put the question in the comments down below I will answer it.

Step-by-step explanation:

Please help me anyone I’m kinda stuck

Answers

Answer:

z's exponent = 5

Step-by-step explanation:

the degree of monomial is basically all of the exponents added up

so:

x's exponent + y's exponent + z's exponents = the degree

So:

1+2+z's exponent = 8

(since x to the power of 1 = x)

3+z's exponent = 8

Subtract 3 from each side:

z's exponent = 5

In the equation, 5x + 3y = 30, I want to find the intercepts. Which would
problem would I solve to get the 'y' intercept?
15x = 30
15y = 30
5x + 3(0) = 30
5(0) + 3y = 30

Answers

Answer:

the fourth one

Step-by-step explanation:

y-intercept is when x equals 0

mark has a window that is 67 square feet. The window is in the shape of a square, which of the following expresses the length of one side of the window?
{ mark all that apply}

A- √64 feet
B- √67 feet
C-√76 feet
D- √81 feet
E-√100 feet

Answers

Answer:

[tex]\sqrt{67}\:\mathrm{feet}[/tex]

Step-by-step explanation:

The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex].

Therefore,

[tex]s^2=67,\\s=\fbox{$\sqrt{67}$}[/tex].

Find function inverse of f? F(x)=x+2/7

Answers

Answer:

f’(x) = x -2/7

Step-by-step explanation:

Let f(x)= y

Thus;

y = x + 2/7

x = y-2/7

So the inverse f’(x) = x - 2/7

Which of the following functions best describes this graph?

A. y = (x - 3)(x + 1)
B. y = x - x +5
C. y = x? -5x + 6
D. y = (x - 1)(x - 1)

Answers

Answer: D: Y=(x-1)(x-1)

Step-by-step explanation:

The function described by the graph is [tex](x-1)^2[/tex].

Therefore, the correct answer is Option D. y = ( x - 1 ) ( x - 1 )

Given data:

The function is represented as f(x) = y

Now, the value of f(x) is plotted below:

To plot the graph, start by determining some key points and then connecting them.

When x = 0:

f(0) = 1

So, the point is (0, 1).

When x = 1:

f(1) = 0

So, the point is (1, 0).

When x = 2:

f(2) = 1

So, the point is (2, 1).

The graph of [tex]f(x) = (x - 1)^2[/tex]  is a parabola that opens upwards. The vertex of the parabola is at the point (1, 0), which corresponds to the minimum value of the function.

As x moves further away from 1 in either direction, the function increases.

Hence, the parabolic function is [tex]f(x) = (x - 1)^2[/tex].

To learn more about parabola, refer:

https://brainly.com/question/24042022

#SPJ7

HELPPP PLEASEEEE :) !!!!!

Answers

Answer:

wu need help with

Step-by-step explanation:

that's easy it a

URGENT! PLEASE HELP ME!
Martin had read 70% of a book. He has 3 more pages to finish. How many pages are there in the book?

Answers

Answer:

15

Step-by-step explanation:

15x3=70

Answer:

5.1 pages

Step-by-step explanation:

70% of 3 is 2.1 and 2.1 + 3 = 5.1

Find the slope of the line that passes through the two points below."
(7,-1) and (9,0)

Answers

Answer:

1/2 or 0.5 (same value, different form)

Step-by-step explanation:

Ok...since I can't actually graph it, we can make a table out of it....

x      y

7     -1

9      0

From -1 to 0, we add 1 (this is for the y section)

From 7 to 9, we add 2 (this is for the x section)

Now all we have to do is divide the y with the x

y/x = 1/2

The slope will be 1/2 (fraction form) 0.5 (decimal form)

Hope this helped!

The range for a set of data, A. is 6.2
The range for another set of data, B. is 7.1.
Compare the spread of set A and B.
what​

Answers

Answer:

0.9

Step-by-step explanation:

range=highest-lowest

=7.1-6.2

=0.9

The wound in the ....... took a long time to ....... .

(heel,heal) fill the blanks i will give u points heart brainlist rating ​

Answers

The wound in the heel took a long time to heal.

Answer:

The wound in the heel took a long time to heal.

50 POINTS
If you are going 60 mph, how many miles will you go in 45 minutes?

Answers

Answer:

You would go 45 miles.

Step-by-Step Explanation:

If you are going 60 mph you would be going 1 mile per minute

x + 4 =7

Solve the equation for the value of the variable show all work someone please help

Answers

Answer:

x = 3

Step-by-step explanation:

x + 4 = 7 ( isolate x by subtracting 4 from both sides )

x = 3

x=3
if u substitute 3 for x, 3+4=7
you could also do 7-4 to get x which is 3 :)

On Thursday, a local hamburger shop sold a combined total of 417 hamburgers and cheeseburgers. The
number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were
sold on Thursday?

Answers

Let H represent Hamburgers.  

Let cheeseburgers represent 2H .

H + 2H = 417

3H = 417

H = 417/3

H = 139 hamburgers  

2H = 2 * 139 = 278 cheeseburgers

Therefore, there were 139 hamburgers sold on Thursday.

Nine less than 2/3 of a number is 11

Answers

Answer:

30

Step-by-step explanation:

let 'n' = a number

[tex]\frac{2n}{3}[/tex] - 9 = 11

2n = 20

3

cross-multiply:  2n = 60

                          n = 30

What is the volume of the rectangular prism

Answers

Answer:

Step-by-step explanation:

you got this i believe in you!

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