1 point
10. Two sides of a triangle have
the following measures. Find the
range of possible measures for
the third side.
35, 29

7 6 8 9

Answers

Answer 1

Answer:

The range of possible measures for  the third side are 6 < x < 64.

Step-by-step explanation:

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

The two sides of a triangle are:

A = 35

B = 29

Suppose the third side is, C = x.

Then,

A + B > C

⇒ 35 + 29 > x

⇒ 64 > x

⇒ x < 64

But for the inequality theorem to be consistent for all the three sides, the third side must have a lower bound.

The difference between the two provided side is,

Diff = 35 - 29 = 6

The third side should not be less than 6 for the inequality theorem to hold.

Thus, the range of possible measures for  the third side are 6 < x < 64.


Related Questions

The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?

Answers

Answer:

D

Step-by-step explanation:

By definition, any two lines that are parallel must have the same slope, since they are angled the same amount (they travel the same amount up over a certain sideways distance). Hope this helps!

The required slope of the red line is equal to 5. Option D is correct.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the parallel line is always equal, so as of the given condition if green and red lines are parallel then the slope of the red line is equal to the slope of the green line.
The slope of the red line = slope of the green line
The slope of red line = 5

Thus, the required slope of the red line is equal to 5, Option D is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

3. Find the value of X in degrees

Answers

109!!


180-64-45= 71. Angle x amd the interior angle create a 180 degree line. And 180-71= 109; the sum of the 2 angles in the triangle are equivalent to the exterior angle

answer the question below in the image

Answers

Answer:

c 100%

Step-by-step explanation:

There are 26 students in a 5th grade class. Five of these students will be
selected to be patrols. In how many ways can the five patrols be selected?

Answers

Answer: 5 ways

Step-by-step explanation:

Answer:

Step-by-step explanation:

That is 26C5 ways = 65,780

ways

Simplify the following expression
x^9*x^-4=x^n

Answers

Answer:

x^5 = x^n

Step-by-step explanation:

x^9*x^-4=x^n

x^5 = x^n

Solve for the following system of equations by using the substitution method for x-y=0 and x-y-2=0

Answers

Answer:

The picture doesn't pop up.

Step-by-step explanation:


Mark had 45 football cards. Josh had twice as many football cards as Mark. Jo
then bought 5 more football cards. Which equation can be used to find f, the
number of football cards Josh has now?
A 2 x 45 + 5 = f
B 2 x 45-5 = f
C 2 + 45 x 5 = f
D 2 + 45 + 5=f
can someone help me please​

Answers

Answer:

I think It will be A. I’m trying my best to help

Step-by-step explanation:

place holder for the question

Answers

The area should be 192. Since your formula to find the area is “ A= ( a+b) divided by 2 times h” your bases are 14 and 18, which equal to 16. Finally,multiplying 16 by your hight,12 is 192. 16x12=192

Answer:

The area of the trapozoid would be 192 inches.

Step-by-step explanation:

Here are the steps on how to find the area of a trapozoid.

Add the two bases together. 14 + 18 = 32Divide that by 2. 32/2 = 16Then lastly multiply that by the height. 16 x 12 = 192.

I hope I helped

brainliest would be appreciated.

Graph the equation of the line y=3x+4 and use it for your reference to find:
c
Quadrants in which this graph is in. (Use the numbers 1−4)

Answers

Answer:

The line is quadrants 1 2 and 3

Step-by-step explanation:

remember top right is 1

top left is 2

and  bottom left is 3

Simplify the expression

Answers

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation:

polynomial division
(4x^2 +7x +6) ÷(x+ 2)​

Answers

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)

Answers

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

For the equation -2(x+1) = 8, Caitlin distributes the 2 to get, -2x +2 = 8. Then she subtracts the 2 from both sides to get -2x = 6. Lastly she divides both sides by -2 to get x =-3. Did Caitlin use the distributive property correctly?(Site 2)

Answers

Answer:

No.

Step-by-step explanation:

She wronged in Step 2, -2x + 2 = 8 .

The correct way is :

-2(x+1) = 8

-2x 2 = 8

Consider the experiment: flip a coin, then roll a number cube

Answers

There’s no question

Find the area of the un-shaded region. The perimeter of the square is 16 feet. ( with explanation)

Answers

Answer:

12.56

The answer is 12.56 since the radius if the circle is 2². Multiply 2 by 2 since it is squared. Then multiply that product (4) by pi. 4 x π = 12.56

What is the y-intercept of this function?
f(x) = 2(x - 7)2 - 32
(0,-32)
(0,66)
(0,-7)
(0,17)

Answers

Answer:

(0, 66 )

Step-by-step explanation:

To find the y- intercept, let x = 0 and solve for y

f(0) = 2(0 - 7)² - 32

      = 2(- 7)² - 32

      = 2(49) - 32

      = 98 - 32    

      = 66

The coordinates of the y- intercept are (0, 66 )

The answer would be (0,66)!!

Find the value of x. Will mark brainliest.

Answers

Answer:

x = 8

Step-by-step explanation:

which is greater 27 or -49

Answers

Answer:

27

Step-by-step explanation:

it's a lager number so it's greater

Answer:

27

Step-by-step explanation:

Positive is always greater than a negative.

Will give brainliest answer

Answers

Answer:

Step-by-step explanation:

Diameter is 7cm

radius is diameter/2 = 7cm/2 = 3.5cm

Answer:

[tex]diameter = 7 \: \: cm \\ radius = 3.5 \: \: cm[/tex]

Step-by-step explanation:

[tex]d = 7 \: \: cm[/tex]

[tex]r = \frac{d}{2} \\ r = \frac{7}{2} \\ r = 3.5cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!

Answers

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

What is probability?

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Simplify each side of the equation.
6-4 = k-3k

Answers

Answer:

k = -1

Step-by-step explanation: 6-4 = k-3k

subtract: 2 = -2k

divide both sides by -2: k = -1

simplifying is easy! we simply add or subtract like terms on each side.

6-4=2

1-3=-2 and then add k which is the variable so -2k

The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k

Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?

Answers

Answer:

45 goals

Step-by-step explanation:

You have the fraction 24/8

After you simplify it you get 3/1 (that’s the percentage of goals/games)

Supposing goals = x,

x/15 = 3/1

x= 45 goals

A cylinder has a height of 3.5ft, and a radius of 2ft. Find the volume of the cylinder.

Answers

Answer:

14π ft³

Step-by-step explanation:

We all need to know this volume formula:  V = πr²h.  Here r represents the radius of the cylinder and h the height of the cylinder.  Here,

V = πr²h = V = π(2 ft)²(3.5 ft) = 14π ft³

Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?

Answers

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

Please help me! I will mark brainliest!

Answers

49t^8 is the correct answer

Answer:

the first answer=49t^8

Step-by-step explanation:

multiply 7 and 7 together, and add 4 and 4 together, that's how you'll get your answer

On the beach, a cable is attached to the pier. The line formed by the cable has a slope of 3/5. Is the triangle formed by the pier, the beach, and the cable similar to the triangle formed by the boat, the parasailer, and the rope?

Answers

Answer:

That's kinda hard bro u sure ur in middle school

Step-by-step explanation:

Which descriptions are true of the function shown in the table? Check all that apply.
Quadratic
Linear
Rational
Y= 5x+10
Y=5x^2+10
Y=5/x+10

Answers

9514 1404 393

Answer:

LinearY = 5x+10

Step-by-step explanation:

As x-values increase by 1, y-values increase by 5. This means the function is linear and has a slope of 5/1 = 5. The appropriate choices are ...

  Linear

  Y = 5x+10

Answer:

b & d

Step-by-step explanation:

yw

MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

CCCC IDK the type of vehicle but its c

Step-by-step explanation:

43.2+ 4 x 2.8 + (4.4 x 4 x 1/2) = 63.2

Please! I need brainliest

What is the common difference of the arithmetic sequence?
7,2, -3, -8. - 13....
A)
-20
B)
--5
5
D)
20

Answers

Answer: -5

Explanation: The common difference is the difference between each of the terms in the sequence. Notice that to get from 7 to 2, we must subtract 5. In the same way, to get from 2 to -3, we must subtract 5.

So -5 is your common difference.

Simplify the expression -1/2 (-5/6 + 1/3)

A. -5/12 + 1/3

B. 5/12 - 1/6

C. -5/12 + 1/6

D. 5/12 + 1/3

Answers

Answer:

5/12 - 1/6

Step-by-step explanation:

-1/2( -5/6+1/3)

Distribute

-1/2*-5/6  -1/2*1/3

5/12 - 1/6

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