17. Determine if the following segments can or cannot be a triangle.
3 m., 4 m., and 1 m.
⬜ Yes ⬜ No
12 ft., 3 ft., and 11 ft.
⬜ Yes ⬜ No
24 in., 13 in., and 5 in.
⬜ Yes ⬜ No
9.81 m., 16 m., and 6.19 m.
⬜ Yes ⬜ No
5 yds., 13 yds., and 10 yds.
⬜ Yes ⬜ No
2.5 cm., 2.5 cm., and 2.5 cm.
⬜ Yes ⬜ No
6 mm., 4 mm., and 9 mm.
⬜ Yes ⬜ No
7 ft., 7 ft., and 7 ft.
⬜ Yes ⬜ No
Answers
Answer:
Step-by-step explanation:
1. 5 cm, 7 cm, 10 cm
SOLUTION:
The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side.
5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
Thus, you can form a triangle with side lengths 5 cm,
7 cm, and 10 cm.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
PROOF Write a two-column proof.
5. Given:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Substitution Property.)
ANSWER:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
No;
9. 2.1 in., 4.2 in., 7.9 in.
ANSWER:
No;
10.
No;
11.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
ANSWER:
4 ft < n < 12 ft
13. 5 m, 11 m
ANSWER:
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
ANSWER:
17.
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. (Conv. Isos. Thm.)
3. BC = BD (Def. of segments)
4. AB + AD > BD ( Inequal. Thm.)
5. AB + AD > BC (Subst.)
19. Given:
Prove: KJ +KL> LM
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequality Thm.)
4. KJ + KL > LM (Substitution Property)
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
Notice that is always true for any whole
number measure for x.The range of values that
would be true for the other two inequalities is
and , which can be written as
.
ANSWER:
6 < x < 17
21.
ANSWER:
22. TRAVEL Keyan wants to take the most efficient
route from his hotel to the hockey game at The
Sportsplex. He can either take Highway 521 or
take Highway 3 and Route 11 from his hotel to the
arena.
a. Which of these two possible routes is the shorter?
Explain your reasoning.
b. Suppose Keyan always drives the speed l
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
1. 5 cm, 7 cm, 10 cm
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
ANSWER:
B
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
SOLUTION:
T
No;
9. 2.1 in., 4.2 in., 7.9 in.
No;
10.
ANSWER:
No;
11.
.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
4 ft < n < 12 ft
13. 5 m, 11 m
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
SOLUTION:
Set up and solve each of the three triangle
inequalities.
ANSWER:
6 < x < 17
21.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
ANSWER:
No;
9. 2.1 in., 4.2 in., 7.9 in.
Related Questions
What is the inverse
Answers
Answer:this is the answer
Answer:
[tex]f^{-1}(x)=3x-6[/tex]
Step-by-step explanation:
Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.
[tex]x=1/3*f^{-1}(x)+2[/tex]
[tex]x-2=1/3*f^{-1}(x)[/tex]
[tex]f^{-1}(x)=3(x-2)[/tex].
[tex]\boxed{f^{-1}(x)=3x-6}[/tex]
look at the image and answer please .
Answers
Answer:
(-2, 0)
Step-by-step explanation:
Which line on the graph below has an undefined slope?
Answers
Line R has the undefined slope
Answer:
C/R
Step-by-step explanation:
Copy the picture and put a dot on where i put it
Answers
Step-by-step explanation:
This is the best I could do. Good luck!
The mass of the Earth is 5.9 x 1024 kg. What is the mass of the Earth expressed in standard form
Answers
Answer:
ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ
Answer:
5.887⋅1024kgBrainlyest plz
Thanks you to those who have been helping me with my math homework much appreciation have these points as gratitude!
Answers
Answer:
cool
Step-by-step explanation:
Answer:
No problem happy to help.
Find the measure of the missing angle.
а
24°
Answers
Since that is a right angle, it equals 90 degrees.
90 - 24 = 66
66 degrees...
I hope this helps..
What is the angle measure for
Answers
Answer:
x = 6
∠PQR = 29
Step-by-step explanation:
Sum of interior angles in a triangle is 180,
15x - 4 + 4x + 5 + 65 = 180
15x + 4x + 5 - 4 + 65 = 180
19x + 1 + 65 = 180
19x + 66 = 180
19x = 180 - 66
19x = 114
x = 114 / 19
x = 6
∠PQR = 4x + 5
Substitute x = 6,
∠PQR = 4 ( 6 ) + 5
= 24 + 5
∠PQR = 29
Please solve the math problem... I will mark you brainliest
Answers
Answer: the solution set is {19}
Step-by-step explanation:
AC = DF
6x+41=8x+3
-2x=-38
x = 16
Can anyone help me about question 2
Answers
9514 1404 393
Answer:
3(4/3)^2543
Step-by-step explanation:
Using logarithms base 2, we have ...
[tex](a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}[/tex]
That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...
[tex]\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}[/tex]
and the 2544th term is ...
[tex]\boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}[/tex]
Is this relation a function yes or no ?
Answers
Answer:
Yes
Step-by-step explanation:
None of the x's repeat
What is the slope of x+y=4
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Let's find the slope :
[tex]x + y = 4[/tex][tex]y = 4 - x[/tex][tex]y = - x + 4[/tex]now, the equation is in the general form of a straight line.
and here, the coefficient of x will be the slope of given line.
that is :
[tex] - 1[/tex][tex]−2 \ \textless \ x − 3 \ \textless \ 3[/tex]
Answers
Answer:
Ufiriruutututirjehf3j3ieygrjrufhgvtjtjtbtvtvthghhffhbfbf
Step-by-step explanation:
Gtdkyfjysjtd is a great place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it will is a great a great opportunity for you and your family to help you grow grow your career life and make sure you are the perfect candidate for your career path and your business and your business with your business goals and goals for your business success and your future goals will be successful and you will be succeed with and exceed your expectations of the success of your business and your company is the best choice in your business to provide you with the most opportunity to earn a successful business and successful marketing business opportunity in your business to achieve your goals in achieving your your business goals in the your best business environment for your business needs help and you will be will help us succeed and help us succeed and we will be able for all you can to help you in the process and be successful with 6 7 your own business plan and your work will be a great experience addition for your business needs as well for the future of the year you will are a great 4 5 and a great opportunity and to be successful a part of the your life of the business and 907 your of the best and the best in the world of your business with and without you being able to spend a lot of time with your family 73 and I hope that you will be able to able to make some it would be a miss 3rd 3 and we you will be able and not only do you want to know do not worry about worry or loss of any other products or services that 2021 your business and your family is not the most important thing to you or your customers and your business needs help to with the best the lord has done in the past to help you make your life easier to
Can't remember how we did it in 7th grade now these 9th graders are doing it and I don't remember.
Any ways to help?
Answers
using opposite angle theorem.
15°
This is due in 20 minutes, help, please.
Sergio spent $65 at the gas station. He paid $3 per gallon for gas and $7 on candy and soft drinks. How many gallons of gas did Sergio buy?
Write a algebraic equation for the word problem above.
Question 1 options:
3 + 7 + g = 65
65 + g = 7
7g + 3 = 65
3g + 7 = 65 (What I chose)
Question 2
Write an algebraic equation for the word problem below.
How old am I if 226 reduced by three times my age is 133?
Question 2 options:
3a - 226 = 133
226 - 3a = 133 (My answer)
133 - 3a = 226
3a - 226 = 133
Question 3
rite an algebraic expression for the word problem below.
The sum of three consecutive numbers is 72. What are the three numbers?
Question 3 options:
3n = 72
1 + 2 + 3 = 72
a + b + c = 72
n + (n + 1) + (n + 2) = 72 (My answer)
Question 4
Write an equation for the word problem below.
It costs $5 plus $2 per mile to ride in a taxi. Hannah took a taxi from her house to school this morning. She paid the taxi driver $25 when she got to the school. How many miles is it from Hannah's house to her school?
Question 4 options:
2m + 5 = 25
5m - 2 = 25
25 + 2m = 5
5m + 2m = 25 (My answer)
Question 5 (Unsure if I'm correct)
rder the steps for writing an algebraic equation from real life word problems.
Question 5 options:
2
Identify all the important information
3
Define the variable
4
Write an equation using the important information and the variable
1
Read through the entire problem
Answers
Answer:
1) You were right
2) Also correct
3) Again, correct
4) Wrong, the correct answer is 2m + 5 = 25
5) Correct
Step-by-step explanation:
1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:
3g + 7 = 65
2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?
226 - 3a = 133
3) The sum of three consecutive numbers is 72.
n + ( n + 1 ) + ( n + 2 ) = 73
4) It cost 5 plus 2 per mile.The total spent was 25
2m + 5 = 25
5)
1. Read the entire problem.
2. Identify all the important info.
3. Define the variable
4. Write an equation using the important information and the variable
Solve −163 = −25d .
Multiple choice question.
A)
−403
B)
−3215
C)
3215
D)
403
Answers
Answer:
the answer to this question is d
For BRAINILY please help
Answers
Answer:
Yes
Step-by-step explanation:
hope this helps <33
can i have brainliest plz?
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
I need help with this, please.
Red oak trees grow at a rate of about 2 feet per year. You buy and plant two red oak trees, one that is 6 feet tall and one that is 8 feet tall. The height h (in feet) of the shorter tree can be modeled by h=2t+6 where t is the time (in years) since you planted the tree. The height of the taller tree can be modeled by h=2t+8.
A. Graph both equations in the same coordinate plane.
B. Use the graphs to find the difference of the heights of the trees 5 years after you plant them. What is the difference after 10 years? What do you notice about the difference if the heights of the two trees?
Answers
Answer:
A: I think it's A because you need to graph both equations
Answer:
These are the screenshots of the work I did and more of the actual answer for graphing but basically,
The difference in heights of the trees after 5 years is 2 feet, after 10 years is 2 feet, and after any number of years is 2 feet since the lines are parallel.
Multiple Choice
Which of the following is a solution to the equation y=3x – 1?
A. (4,1)
B. (2.5)
C. (4,3)
D. (0,-3)
Answers
Answer:
B: (2,5)
Step-by-step explanation:
y=3x-1
(5)=3(2)-1
5=6-1
5=5 (correct)
Answer:
hola necesito puntos, solo dejame comentar
Step-by-step explanation:
7.Austin has no money so he borrowed $28 over eight days from Kayla. How much did Austin borrow from Kayla each day? Show your work
8.The temperature dropped 6 degrees for 9 hours. What was the total change in temperature.
14.The product of two integers is -24 and the sum of the two integers is -5. What are the two integers?
Answers
so equation: 8x=28
then solve for x, which is 3.5 so $3.50
9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
Answers
Answer:
55.2
Step-by-step explanation:
First Multiply
9.2*6
Answer:52
Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
Which inequality represents this graph?
Answers
Answer:
Last option, "y is greater than or equal to -1/3 x + 1"
Step-by-step explanation:
y represents any value in the shaded region, and since the region is above the line, that's how you know it's greater than the line. You also know the sign is greater than or equal to (rather than just greater than), because the line on the graph is solid, instead of dotted.
Hope this makes sense :)
Help pls!
Given the expression -15 (10 2/3). Rewrite the expression using Distributive Property.
Answers
Answer:
-160
Step-by-step explanation:
Hope this helps.
Which equation represents the line that is parallel to
5
x
+
y
=
13
and passes through the point
(
15
,
−
31
)
?
Answers
y=-5x-44
Step-by-step explanation:
5x+y=13 passes through (15,31)
rearrange the equation to y=mx+c
5x+y=13
y=-5x+13
substitute the points (15,31)
y=5x+c
31=5(15)+c
31=75+c
-44=c
y=-5x-44
Can be written as 5x+y=-44
PLEAZE HELP SOON FASTES ANSWER GETS BRAINLIEST
Answers
Answer:
36.8 divided by 16=2.3
2.60 x 2.3= 5.98
I think this is right..
Step-by-step explanation:
If there is 16 ounces is 1 pound then divide 36.8 by 16
then the answer should be multiplied by the amount the peach cost per pound.
I needdddddd help! Please : )
Answers
Answer:
Stop being so desperate.
Step-by-step explanation:
The diagram shows a circle inside a square 16cm Work out the area of the circle
Answers
Answer:
Step-by-step explanation:
Since one side of the square is 16 cm, the diameter of the circle is also 16 cm. Which means that the radius is 8. the area of a circle is pi times radius square. so it is pi times 8 squared, which is 64pi
Help ill give u lots of points dude
Answers
Answer:
135°Step-by-step explanation:
ΔQPRAll interior angles are equal, so:
m∠QPR = 180°/3 = 60°ΔPRSEquilateral right triangle, so:
m∠RPS = 90°/2 = 45°ΔPSTRight triangle with m∠T = 60°, so:
m∠SPT = 90° - 60° = 30°Now we can find the required angle measure:
m∠QPT = m∠QPR + m∠RPS + m∠SPTm∠QPT = 60° + 45° + 30° = 135°thoả mãn x biết 2(x+5)=x^2+5x
Answers
Answer:
= 2
= − 5
Step-by-step explanation:
What are the terms in the expression 2d + 7 + 5f?
2, 7, and 5
d and f
2 and 5
2d, 7, and 5f
Answers
Answer: 2d, 7, and 5f
Step-by-step explanation: i took the math quiz, decided to help
