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
find the value of a + 1a
Answers
Answer:
2a
Step-by-step explanation:
a+1a is the same as a+a=2a
I will give brainliest PLEASE help!
The table shows how much money Diego has after buying some games and represents a linear function.
What is the y-intercept of the function shown in the table, and what does it represent
A. The y-intercept is (4,0), and the 4 represents the amount of money
Diego spends per game.
B. The y-intercept is (4,0), and the 4 represents the number of games
Diego buys.
C. The y-intercept is (0, 150). Diego has $150 before buying any
games.
D. The y-intercept is (0, 150). Diego spends $150 per game.
Answers
Explanation - if there is a 0 it’s always the y-intercept and then 150 is the amount of money he has while buying 0 games or before buying games it’s his starting amount
Answer: C. The y-intercept is (0, 150). Diego has $150 before buying any
Step-by-step explanation:
Brainlylist
Step-by-step explanation:
Please help fast!!!! I will give brainliest to the first answer!!!!
Answers
Answer:
the answer is c
Step-by-step explanation: i got the question right and got 100%
Please, help me in this!
Answers
Every 12 stairs she trips up 1
So 204 / 12 = 17
Answer : she climbs 204 stairs. And trips 17 times
QUESTION 2
96/ 12 = 8
Answer : she climbs 96 stairs and trips 8 times
QUESTION 3 :
24 x 12 = 288
Answer : she’s climbed 288 stairs and trips 24 times
The area of a square is 676 square feet. what is the perimeter of the square?
Answers
Given : The area of a square is 676 square feet. what is the perimeter of the square?
Solution :
Area of Square = 676 ft²
Let's assume the constant multiple be α (alpha)
Length × Breadth = 676α × α = 676α² = 676α = √676α = 26So, now getting perimeter
As we know that, Perimeter = 4(Side)
Perimeter = 4(26) Perimeter = 104Henceforth, the perimeter of square is 104 ft
What is the slope of the line?
Answers
Answer:
Slope is technically 1, because it implies that it's going up one and over to the right one. Also in slope-intercept form it would look like this
y = x + 1.
Step-by-step explanation:
Hope this makes sense :)
The polynomial function P(X) = 30x - 97,000 models the Relationship between the number of computer briefcases x that a company sells and the Profit the company makes , P(x). find p(4000) computer Briefcases
Answers
Answer:
A Is the mega super duper pooper hooper flooper booper answer
Step-by-step explanation:
Brainlyyyyyyyy
Which side is the hypotenuse of XYZ
Answers
The sum of two numbers is 33. One number
is 27 more than the other one. Find the
numbers.
Answers
Step-by-step explanation:
a+b = 33
a-b = 27
______+
2a = 60
a = 30
b = 33-30 = 3
so, the numbers are : 30 and 3
PLEASE help me for this math problem
Answers
:answer (x+5−4)(x+5+4)(x−4)
how i got it:
(x+5−4)(x−(−
2
2(5+4)
))(x−4)
A truck can be rented from Company A for $140 a day plus $0.30 per mile. Company B charges $80 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answers
Answer:
800 miles
Step-by-step explanation:
140 + (0.30 x 800) = 400$, 800 miles
80 + (0.40 x 800) = 400$, 800 miles
(sorry for incorrect answer the first time, mixed up the cost and number of miles)
If y=104x, what is the unit rate (without units)
Answers
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Read the summary of the section of "The Beginnings of the Maasai,” where the volcanic eruption and its results are described.
As a result of a volcanic eruption, the sky god Enkai and the cattle were thrown into the sky. Enkai wanted to save his cattle. He grew a tree that bridged the sky and the earth. The cattle walked down the tree to Neiterkob. Neiterkob and the Maasai tribe took over caring for the cattle.
Why does the summary need to be revised?
The summary incorrectly restates the myth.
The summary includes too many minor details.
The summary lacks transitions that connect ideas.
The summary is missing important words and phrases.
Answers
Answer:
Hello! Your answer should be: the summary lacks transitions that connect ideas.
Step-by-step explanation:
Sorry if it is wrong :(
The summary needs to be revised because The summary lacks transitions that connect ideas.
What is a summary?
A summary is a brief statement or account of the main points of something. The summary is essentially a short version of a longer text. The size of a summary can vary based on the type of writing, but most often it is no longer than a page.
They are used to give an overview of what happens in the writing and review the main themes. This lesson will continue to explore what summary writing is, types of summaries, and examples of summaries.
Keeping the summary concise will give the reader the information they need the most, without any unnecessary information.
What is a volcanic eruption?A volcanic eruption is when lava and gas are released from a volcano—sometimes explosively. The most dangerous type of eruption is called a 'glowing avalanche' which occurs when freshly erupted magma flows down the sides of a volcano.
Volcanic eruption can come from side branches or from the top of the volcano. Some volcanic eruption are terrible explosions that throw out huge amounts of rock and volcanic ash and can be disastrous for the people and animals that are living nearby to it .
Volcanic eruption are often named after famous volcanoes where that type of eruption has been seen. Some volcanoes may show only one type of eruption during a period of activity, while others may show a range of types in a series.
Hence, option C is the correct answer
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answers
Answer:
74
Step-by-step explanation:
87-13=74
Answer:
Sydeny is 50 years old
Correct answer gets brainly!!
Answers
Answer:
Part A. the answer is 90
Part B. the answer is 145
Hope this helps :P
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (−8,5) to (4,−3) that partitions the segment into a ratio of 5 to 3?
Answers
Answer:
(-0.5, 0)Step-by-step explanation:
Directed line segment from (−8,5) to (4,−3).
Ratio is 5/3.
The required coordinates are:
x = -8 + 5/8*(4 - (-8)) = -8 + 5/8(12) = -8 + 7.5 = -0.5y = 5 + 5/8*(-3 - 5) = 5 + 5/8(-8) = 5 - 5 = 0Help would be really helpful !
Answers
12(2 - x) + 2 = 14 (12(2-x) + 2 =14
Answers
Answer:
x = 1
Step-by-step explanation:
12(2 - x) + 2 = 14
24 - 12x + 2 = 14
26 - 12x = 14
-12x = -12
x = 1
Hopefully this helps!
Brainliest please?
Please help asap, correct answer will get brainliest
Answers
Answer:
im not sure if my answer is correct
PLs HElp Will give brainiest
k 12 test
1. Multiply.
(−6.8)(−0.06)
2. Multiply.
11.54⋅(−2.6)
3.Multiply.
(−2.07)(4.6)
4.The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.
How many pounds of soil are needed for the garden?
5. Multiply.
2.3⋅(−1.2)
a. −27.6
b. −2.76
c. 2.76
d. 27.6
Answers
Answer:
Step-by-step explanation:
1 =0.408
2=−30.004
3=−9.522
4= 33.54 pounds of soil are needed
5= b -2.76
1. Multiply (-6.8) * (-0.06) = 0.408
2. Multiply 11.54 * (-2.6) = -30.004
3. Multiply (-2.07) * (4.6) = -9.502
4. The garden needs 33.54 pounds of soil.
5. Multiply a). -27.6
When we multiply two numbers, we are essentially adding one of them multiple times based on the value of the other number. Let's go through each problem step by step.
1. To multiply -6.8 and -0.06, multiply their absolute values
(ignoring signs): 6.8 * 0.06 = 0.408.
Since both numbers are negative, the product is positive:
(-6.8) * (-0.06) = 0.408.
2. For 11.54 * (-2.6), multiply their absolute values:
11.54 * 2.6 = 30.004.
One number is negative, so the product is negative:
11.54 * (-2.6) = -30.004.
3. Multiply the absolute values of -2.07 and 4.6: 2.07 * 4.6 = 9.502.
The numbers have different signs, so the product is negative: (-2.07) * (4.6) = -9.502.
4. The area of the garden is 12.9 square feet, and each square foot requires 2.6 pounds of soil.
To find the total soil needed, multiply: 12.9 * 2.6 = 33.54. Therefore, the garden needs 33.54 pounds of soil.
5. To multiply 2.3 and -1.2, multiply their absolute values: 2.3 * 1.2 = 2.76. Since one number is negative, the product is negative: 2.3 * (-1.2) = -2.76, which matches option a.)
To know more about Area here
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Someone please help. Ill give you brainiest.
Answers
Domain: (-∞, ∞)
Range: (-∞, 2]
A function is a relation in which no two ordered pairs have the same first component (inputs/x-values/domain) and different second components (outputs/y-values/range).
In determining whether a given relation is a function, we need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?
In the case of an absolute value function, its relation is a function because each input corresponds to exactly one output. To demonstrate, I performed a Vertical Line test to show why it is a function.
The Vertical Line Test (VLT) allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. As the attached graph of the absolute value function, EACH vertical line drawn crosses the graph only once. This graph passes the VLT, making it a function.
20.)
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Domain: {-2, -1, 0, 1}.
Range: {4, 3, 2, 1, 0}.
The given relation is NOT a function. As you can see from the given diagram, the input value of 2 corresponds to two output values: 4 and 0.
Please mark my answers as the Brainliest if you find my explanation helpful :)
solve 7 √ 3 + 2 √ 9 and explain whether the answer is rational or irrational
Answers
Answer:
Option D. is correct.
Step-by-step explanation:
Let us assume that x = seven square root three plus two square root nine
i.e. x = 7√3 + 2√9
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
⇒ x = 7√3 + 6
Here, 7√3 is an irrational number and 6 is a rational number.
The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D. is correct.
The correct answer is 7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.
What are rational numbers, and irrational numbers?Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Assume that x be the seven square root three plus two square root nine ;
i.e. x = 7√3 + 2√9
Now
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
x = 7√3 + 6
Here, we can see that 7√3 is an irrational number and 6 is a rational number.
The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D is correct.
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this might be a waste of time but. 1-6 :)
Answers
Answer:
Step-by-step explanation:
1. 6 yd
2. 32 oz
3. 51.2 fl oz
4. 10560 ft
5. 2.5 T
6. Quarts to what??? Pints???
Rhombus ABCD has vertices A(1,1), B(5,3), C(7.7), and D(3,5). After a translation, the image A'
is located at (-2,8). What are the coordinates of C'?
Answers
Answer:
C'(4, 14)
Step-by-step explanation:
Terry took that SAT and scored a 1410 when his math score, m, was combined with his verbal score, v. His verbal score was 190 points less than his math score. What was his verbal score?
Answers
Answer:
I really don't know but good luck
A store sells 5-pound bags of potatoes for $2.35 or 8-pound bags of potatoes for $3.52. Based on this information, which statement is true?
Answers
I don't know what the answer choices are
5 pound = $2.35
8 pound = $3.52
2.35/5 = 0.47
3.52/8 = 0.44
The 8 pound bag costs less dollars per pound than the 5 pound bag
Gía trị của biểu thức A = ( 2x - 5)x(2x +5) - 4 x (x+2)x(x-2) + (10x + 7)
Answers
Answer:
language
Step-by-step explanation:
8/5 minus 1/6 = i dont know the answer sorry
Answers
Answer:
Step-by-step explanation: 8/5-1/6
Find a common denominator
48/30-5-30=43/30
so basically idekkkkkkk
Answers
52 miles every 2 hours
52 / 2 = 26 miles every hour
[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours
Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour
Please help ASAP!!!
Anyone know this?
See pic attached
Answers
Step-by-step explanation:
a ) 12 , 17 , 22 , 27 , 32
according to the given sequence, they added 5 in the numbers
b ) 83 , 77 , 71 , 65 , 59
in this given sequence they just subtracted 6 from the number
hope this answer helps you dear...take care and may u have a great day!