16.Which Three Lengths CANNOT be the lengths of the sides of a triangle?
17.Which Three Lengths COULD-BE the lengths of the sides of a triangle?

16.Which Three Lengths CANNOT Be The Lengths Of The Sides Of A Triangle?17.Which Three Lengths COULD-BE

Answers

Answer 1

Problem 16

Answer: Choice B) 21, 8, 10

This is because the two smaller sides 8 and 10 add to 8+10 = 18, but this is not greater than the side 21. For a triangle to be possible, the sum of any two sides must be larger than the third side. I recommend cutting out slips of paper of these lengths to confirm that a triangle is indeed not possible in this case.

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

Problem 17

Answer: Choice B) 10, 15, 22

Choice A is not the answer because 13+8 = 21, but that's not larger than the third side 21.

Choice C is not the answer because 6+11 = 17 which is not larger than 24.

Choice B is the only possible answer. Note we have the three following true inequalities

15+22 > 1010+22 > 1510+15 > 22

So adding any two sides of this triangle leads to a sum larger than the third side. We're using the triangle inequality theorem.


Related Questions

Ok please somebody help me “For every 330 feet a person travels up a mountain the temperature drops 1 °F. If the temperature is 78 °F. at the base of a 6,270- foot mountain, what is the temperature at the peak?”

Answers

I believe it's 19 degrees Fahrenheit. Sorry if I'm wrong, but you take the base (6270) and divide it by 330 to find how many times it changes, or the temp. At the peak

What was the greatest impact farmers made in China

Answers

Answer:China made up $5.9 billion in U.S. farm product exports in 2018, according to the U.S. Census. It’s the world’s top buyer of soybeans and purchased roughly 60 percent of U.S. soybean exports last year.

Step-by-step explanation:

sarah works part time in a shop

Answers

There is no picture attached..

Name two planes that intersect in SW in the figure to the right

Choose the correct answer below.

A. plane XTS and plane TSR
B. plane STX and plane VRQ
C. plane XTS and plane VRS
D. plane TSR and plane VRS​

Answers

Answer:

a is the right answer you got this

Step-by-step explanation:

Which value of X will allow the following set of ordered pairs to represent a function? (3,7) (2,6) (x,8) (1,5)

Answers

Answer:

[tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Step-by-step explanation:

From Function Theory, we know that a function is a relation in which all domain elements are not related to at least two different elements from range. Which means that [tex]x \in \mathbb{R}-\{1,2,3\}[/tex], that is, that [tex]x[/tex] is a real number different to 1, 2 and 3.

Hence, we conclude that [tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

the time, t, in seconds, is required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given this equation

Answers

Answer:

C. [tex] d = \frac{at^2}{2} [/tex]

Step-by-step explanation:

Given:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Required:

Make d the subject of the formula.

SOLUTION:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Square both sides

[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]

[tex] t^2 = \frac{2d}{a} [/tex]

Multiply both sides by a

[tex] a*t^2 = \frac{2d}{a}*a [/tex]

[tex] at^2 = 2d [/tex]

Divide both sides by 2

[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]

[tex] \frac{at^2}{2} = d [/tex]

[tex] d = \frac{at^2}{2} [/tex]

write an equation of the line with the given information. m. 4. A(-1.-5)

Answers

Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

[tex]y=4x-1[/tex]

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

[tex]y-y_1=m\left(y-x_1\right)[/tex]

where m is the slope.

Given:

the slope m = 4 the point A(-1, -5)

Substituting the values in the equation of a line in point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)[/tex]

[tex]y+5=4\left(x+1\right)[/tex]

subtract 5 from both the sides

[tex]y+5-5=4\left(x+1\right)-5[/tex]

[tex]y=4x-1[/tex]

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

[tex]y=4x-1[/tex]

HURRY PLEASE!!!!!!

Identify the pairs of supplementary angles (hurry i’m begging)

Answers

Answer:

It's: A

Step-by-step explanation:

I need help on this. Only right answers only please..

Answers

f(3)= 2
f(16) =16
f(x) is the same thing as y so you can solve it the same way as any other equation. the only difference is when it has a number in the parentheses. if there is a number in the parentheses you will replace all of the x’s in the equation with that number. for example:

original problem problem with f(3)
f(x)=2x*-3x-7 f(3)= 2(3*)-3(3)-7

Can someone solve 6÷2(1+2)

Answers

Answer: 9

Step-by-step explanation:

To solve this problem, we need to use our order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

6÷2(1+2)           [parenthesis]

6÷2(3)               [multiply/divide from left to right]

3(3)                   [multiply]

9

Now, we know that the answer is 9.

Graph the line that represents the equation please

Answers

Answer:

graph it on -1/2

Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know

Find the equation of the line passing through the points (3,3) and (4,5)

Answers

Answer:

Y = Mx + B

Step-by-step explanation:

I think it's ur answer.

HELP PLEASE ! What is 8x^3+3+6x^2+4x factored? (Show steps please !)

Answers

Add (4x + 3) x (2x 2+1) to get your answer

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence.

Answers

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

[tex] J = 3G[/tex] ..........equation 1

[tex] G = C + 6 [/tex] ........equation 2

[tex] J + G + C = 149 [/tex] ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

[tex] J = 3(C + 6)[/tex]

[tex] J = 3C + 18[/tex] ........equation 4

Substituting equation 2 and equation 4 into equation 3;

[tex] (3C + 18) + (C + 6) + C = 149 [/tex]

Simplifying the equation, we have;

[tex] 5C + 24 = 149[/tex]

[tex] 5C = 149 - 24[/tex]

[tex] 5C = 125[/tex]

[tex] C = \frac {125}{5}[/tex]

C = 25 years.

To find G; from equation 2

[tex] G = C + 6[/tex]

Substituting the value of "C" into equation 2, we have;

[tex] G = 25 + 6[/tex]

G = 31 years.

To find J; from equation 1

[tex] J = 3G [/tex]

Substituting the value of "G" into equation 1, we have;

[tex] J = 3 * 31[/tex]

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

The scale of the map measures 1 inch : 1250 miles. if the distances between two cities measure 3 inches on the map, find the actual distance between the two city on the ground

Answers

Answer:

3,750 miles

Step-by-step explanation:

Because one inch is 1250 miles so time that by three you get 3,750

helpppppppppppppppppp plzzzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

A

Ms. Patel drove 165 miles in 3 hours. If she continues driving at the same speed, how many miles will Ms. Patel drive in 7 hours?

Answers

Answer:

1155

Step-by-step explanation:

165 × 7 = 1155

i hink this is the answert

what is P versus NP, its supposed to be one of the hardest questions in the world

Answers

Answer:

P is the set of problems whose solution times are proportional to polynomials involving N's. ... NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.

Step-by-step explanation:

YW!!!

can any expert help me plzzzzzzzz..........​

Answers

Answer:

i=f

ii= 3-1/20

iii=3.43234

iv=a

v=12

Step-by-step explanation:


At the carnival, Sally purchased 20 tickets and a drink that was $4.50. Her total for everything was $44.50.
What was the cost of each ticket at the carnival

Answers

$2 is the answer I assume

what this dont get it

Answers

Answer:

[tex]4p+3[/tex]

Step-by-step explanation:

All this question is asking you to do is simplify the given expression by combining like terms.

The point of combining like terms is that you can only combine, well, like terms. Like terms are terms that have the same variables and are raised to the same power. This means that in this case, we can't combine [tex]4[/tex] and [tex]6[/tex] because [tex]4[/tex] is attached to a variable. However, we can combine 6 and -3 because they are like terms; neither is attached to a variable. So, you end up with [tex]4p+3[/tex].

I hope this helps!

an equation in slope-intercept form that passes through the points ( 14, -15) , ( 7, -15 ).

Answers

Here you go!! I hope this helps

Solve the simultaneous equations
2x + 3y = 6
7x – 2y = 1

Answers

Answer:

x=0.6, y=1.6

Step-by-step explanation:

Multiply the first equation by 2 and the second equation by 3, so we can cancel out the y terms:

4x+6y=12

21x-6y=3

Add these 2 equations together:

25x=15

x=0.6

Now, to solve for y, plug x back into any of the equations above:

2(0.6)+3y=6

1.2+3y=6

3y=4.8

y=1.6

Answer:

Below in bold.

Step-by-step explanation:

2x + 3y = 6             Multiply by 2:

7x – 2y = 1             Multiply by 3:

4x + 6y = 12

21x - 6y = 3              Adding:

25x = 15

x = 0.6.                      Substitute x = 0.6 into the first equation:

2*0.6 + 3y = 6

3y = 6 - 1.2 = 4.8

y = 1.6.

During summer, the height of the water in a pool decreased by 2 inches each week due to evaporation. What is the change in the height of the water over an 8 week period??

Answers

Answer:

16in or 1ft 4in

Step-by-step explanation:

Find the percent change from 120 to 192​

Answers

Answer:

The percent change is 60

[tex]60% [/tex]

Answer: 60% increase

Step-by-step explanation:

Help meee PLEAAASEEEEEEEEEEEE

Answers

The answer would be C.
Y=-20/133x - 10/19

Solve for x plsss helpppp

Answers

Answer:

x=30

Step-by-step explanation: First we would have to find the two angles of the corner of the triangle. 55° in the bottom left because of verticle angles. And 180-120= 60. And 60+55=115. 180-115=65. 65-5= 60. 60/2= 30. So x=30. (Sorry ik its sloppy) :)

Consider the following graph which represents the solutions to a system of inequalities. Which of the following systems of inequalities does the graph represent?​

Answers

Answer:

The system of inequalities is -2x + y > 0    -x + y ≥ 0

Step-by-step explanation:

The form of the equation of a line is y = m x + b, where

m is the slopeb is the y-intercept

The line passes through the origin, then

The value of b = 0The form of the equation is y = m x

Let us look at the graph to find the correct answer

∵ One of the lines are solid and the other is dashed

∵ The shaded area is over the two lines

The signs of the two inequalities are ≥ and >

∵ The two lines pass through the origin

→ That means the y-intercepts are 0

The form of the inequalities are y ≥ m[tex]_{1}[/tex] x and y > m[tex]_{2}[/tex]

There are only two answers that have these forms, so we must find the slope of each line

∵ m = [tex]\frac{y2-y1}{x2-x1}[/tex] , (x1, y1) and (x2, y2) are two points on the line

∵ The solid line passes through points (0, 0) and (2, 2)

∴ m[tex]_{1}[/tex] = [tex]\frac{2-0}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

→ Substitute it in the form of the equation

∴ y ≥ 1(x)

∴ y ≥ x

→ Subtract x from both sides

-x + y ≥ 0

∵ The dashed line passes through points (0, 0) and (1, 2)

∴ m[tex]_{2}[/tex] = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2

→ Substitute it in the form of the equation

∴ y > 2(x)

∴ y > 2x

→ Subtract 2x from both sides

-2x + y > 0

The system of inequalities is -2x + y > 0    -x + y ≥ 0

Answer:

The system of inequalities is -2x + y > 0    -x + y ≥ 0

Step-by-step explanation:

i did it

The domain of a function f(x) is the set of all integers from 0 to 10, and the range of f(x) is the set of all in
from 0 to 5.
Which of the following statements must be FALSE?
SELECT ALL THAT APPLY.
f(8) = 3
f(0) = 7
f(-1) = -8
f(0) = -5
f(10) = 2
f(1) = 2
f(0) = 0

Answers

I think that the correct answer is f(-1)=-8 and f(0)=-5
I hope this helps :D

What’s the slope of the line? Please help!!

Answers

Answer:

1

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

:)

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