The lengths of two sides of a triangle are 11 cm and 19 cm. Identify the range of possible lengths for the third side.

The Lengths Of Two Sides Of A Triangle Are 11 Cm And 19 Cm. Identify The Range Of Possible Lengths For

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

19 - 11 < x < 19 + 11

8 < x < 30

Answer 2

Answer:

8 < x < 30

Step-by-step explanation:

The rule for side lengths of a triangle is:

the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :

19 - 11 < x < 19 + 11

8 < x < 30


Related Questions

simplify negative 3 / 8 divided by negative 5 / 6

Answers

Answer:

9/20

Step-by-step explanation:

1. 3/8 / 5/6

2. 9/20

Answer:

[tex] \sf \: \frac{9}{20} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]

[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]

[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]

Hence, the answer is 9/20.

Independent Practice


Find the number of solutions of the equation.

0 = x2 + 2x + 9


A.
3


B.
2


C.
1


D.
0

Answers

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?

Answers

Answer:

Roses 2.70, Lillies 2.45, Carnations 1.60

Find the value of x given in the right triangle

Answers

Answer: 7.1 units

Step-by-step explanation:

Using Pythagorean theory, c^2 - a^2 = b^2

We know c= 10

We know a=7

We are looking for b

10^2 - 7^2 = b^2

51= b^2

Take square root of both sides

7.1=b

For problems 1 - 4, write a two-column proof.

Answers

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5 + <4 = 180°

Now substituting value of <5,

→ <6 + <4 = 180°

This shows property of co interior angle.

Therefore, L ll m

2) Solution

Take it as,

→ <1 = 90°

In above eq. L is perpendicular to t.

→ <2 = 90

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L ll m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST || UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180

It shows property of co interior angle.

Therefore, PS || QR.

A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race? ​

Answers

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

what is the solution to this?

Answers

Answer:

x = -3,y = 2

Step-by-step explanation:

3x-2y = -13

4x-3y = -18

~~~~~~~~~~~~~~~~

9x -6y = -39

-8x+6y = 36

x = -3

-12 -3y = -18

-3y = -6

y = 2

Please hurry I will mark you brainliest

What is the equation of the line through the point (2, 3) with slope -2?

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Try plotting the points on desmos. Then use the slope to find the y value.

find the perimeter of the figure

Answers

The answer is 51 you add all the sides together to find the perimeter

Answer:

72cm

Step-by-step explanation:

We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.

The perimeter is found when you add all the lengths of the sides of a figure.

So far, we can add 13.25+7.25+7.75+22.75 = 51cm.

Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.

We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.

Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.

Hope this helps! Feel free to ask any questions if this doesn't make sense. :)

If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.​

Answers

Answer:

30, 90

1 : √3 : 2

Step-by-step explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )

SOMEONE HELP ME PLEASE

Answers

Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36


Determine whether side-angle-angle (SAA) is valid means for establishing triangle congruence. In this case, you know the measure of : side, an
adjacent angle, and the angle opposite to the side. If it is valld criterion, explain why. If it is not valid, use GeoGebra to create a counterexample
demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert
the image in the space below.

Answers

Answer:

Basically if you know side-angle-anlge, you can determine the third angle by

3rd angle = 180 - angle 1 - angle2

In this way, you are using the Angle-Side-Angle method of congruence.

Step-by-step explanation:

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.

Please answer the questions down below i left a couple diffrent pictures

20 POINTS!!
Summer Learning HeadStart 7-8

Answers

Answer:

yes

yes

no

no

Step-by-step explanation:

4.

Additive inverses are the same number with different signs, one positive and one negative. they must add to zero. For example, -1 and 1 are additive inverses since they add to zero.

yes

yes

no

no

If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver?
16 oz = 1 pound

Answers

Answer:

0.858

Step-by-step explanation:

2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858

the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent ​

Answers

Answer:

It is the third one

Step-by-step explanation:

c

Aaron would like to buy an e-reader that sells for $249. How mich will the e-reader cost after 13% tax

Answers

Answer:

$281.37

Step-by-step explanation:

249x0.13=32.37

249+32.37= 281.37

Answer:

Total cost of e-reader = 281.37

Step-by-step explanation:

= 249+249×13%

=249+32.37

=281.37

PLS DO THIS ASAP

no links

Answers

Answer:

SPEED ANSWER!!!!

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD!!!!!!!!!!
The answer is D, 3 is the y intercept

25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?

Answers

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

the value of [{(6to the power 2+8 to the power 2)to the power 1/2}]to the power 3​

Answers

Answer:

Step-by-step explanation:

[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

$60
$80
$90
$100

Answers

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ7

Using trig to solve for missing angles

Answers

Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)

Answers

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

The sum of two integers is (-32). Their quotient is 7. What are the integers?

Answers

Answer:  -28 and -4

===========================================================

Explanation:

Let x and y be the two integers such that |x| > |y|. This is another way of saying that x is further away from 0 compared to y.

Their quotient being 7 means x/y = 7 which rearranges to x = 7y

The sum of the integers is -32 which allows us to say....

x+y = -32

7y+y = -32

8y = -32

y = -32/8

y = -4

Use this y value to find x

x = 7y

x = 7*(-4)

x = -28

The two integers are -28 and -4.

Find the measure of 2

Answers

Answer:

92

Step-by-step explanation:

Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel

Answer:

[tex]\angle 2=92^{\circ}[/tex]

Step-by-step explanation:

When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.

In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:

[tex]\angle 2=\boxed{92^{\circ}}[/tex]

CAN SOMEONE HELP ME PLEASE

Answers

In this equation the q is 12/17 and the r is 3/8 so if I am correct the answer is 9/34 hope this helps.

Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.

{-7, -6, -5, -4}
{7, 8, 9, 10}
{0, 1, 2, 3}

Answers

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

Answer:

thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know

Step-by-step explanation:

Identify the domain of a radical function with an odd index.

Answers

Answer:

A odd index can go to " - infinity "

Step-by-step explanation:

determine the equation of a line that goes through (-1,2) and (7,2)

Answers

Answer:

Step-by-step explanation:

To evaluate such, the following must be comprehended:

Slope: Rise/Run.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:

m = (y2 - y1) / (x2 - x1)

Points utilized or given: (-1, 2) and (7, 2).

2 - 2 / 7 + 1 = 0/8 ==> 0

Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).

Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:

Point-Slope Formula:

Y- y1 = m(x - x1)

Y - 2 = 0(x - 7)

Y - 2 = 0

Y = 2

Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).

*I hope this helps.

Help again this is my last retake

Answers

The answer to this question is A, good luck :)

Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.

Answers

Answer:

The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:

Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance

Each pants = 50% chance

0.50 x 0.50 = X

0.25 = X

Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

Other Questions
Solve the inequality 4 is greater than n over -4 state any two effects of gravitational force which of the following integers cannot be written as the sum of four consecutive odd integers. (A) 16 (B) 40 (C) 72 (D) 100 (E) 200 le: Convert an interest rate of 12% p.a. compounded monthly to an interestrate compounded quarterly. Great American Oilchange (GAO) sells a combined oil change service and parts package for $30. A customer who supplies the parts (oil and filter) is charged $20 for only the service, whereas a customer who buys only the oil and filter for do-it-yourself use) is charged $20 for the parts. The parts cost GAO $14Required:Determine the dollar amount of revenue from the oil change service versus the sale of parts for each combined oil change package. Cul de las siguientes no es un tipo de fuerza de roce Select the correct answer.Read this excerpt from President John F. Kennedys inaugural address on January 20, 1961:In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger. I do not shrink from this responsibilityI welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve itand the glow from that fire can truly light the world.And so, my fellow Americans: ask not what your country can do for youask what you can do for your country.My fellow citizens of the world: ask not what America will do for you, but what together we can do for the freedom of man.Based on the authors use of language, what is the purpose of this speech?A. to cultivate a sense of diversity among the American peopleB. to foster a feeling of happiness and unity across people and nationsC. to motivate people everywhere to uphold the freedom of humankindD. to motivate Americans to strive for the development of their nation What type of organism is most likely to be oxidase positive?A. AerobicB. AnaerobicC. Gram negativeD. Enteric evaluate the integral x^3 (x 4 8)^44 dx by making the substitution u = x^4 - 8 Which triangle is ABC similar to and why?ABC is similar to DEF by AA Similarity Postulate.ABC is similar to GHI by AA Similarity Postulate.ABC is similar to JEL by AA Similarity Postulate.ABC is not similar to any of the triangles given.NOTE: Figures are not drawn to scale. Maham Corporation's budget calls for the following production: Quarter 1 = 22,500 units Quarter 2 = 19,000 unitsQuarter 3 = 17,000 units Quarter 4 = 24,000 units Each unit of product requires three pounds of direct material. The company's policy is to begin each quarter with 30% of that quarter's direct materials requirements. What would be the budgeted direct materials purchases in the second quarter? Help me plz!!!....... Calculate the mean of the data set {62, 75, 85, 63,69, 72, 76, 84, 87,88} round to the nearest tenth ? In the story about the cop and the anthem, Soapy: A) lived in a homeless shelter.B) wanted to go to jail for winter.C) pretended to be poor so he could get free food.D) All of the choices are correct. The measure of two supplementary angles are A=(4a+7) and B=(a-2) find the measure of the two angles Please help!!Without graphing, explain how you know the equation y = - 1/2x^2 - 7 will be compressed(compared to the parent function of y=x^2). Plz answer, will give brainliest Which of the following is true about writing an article summary?Select one:O a. You should include as many details as possible.O b. You should always assume your reader is familiar with the article.O c. You should express the main points in your own words.O d. You should not include information about the author or place of publication; summaries should be focused only on an article's content. What is the square root of 93 anyone help me please