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.
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how do you solve this and what is the answer?
y-3=5/2(x-3)
Answers
What is the distance of -4,-6 and 5,-6?
Answers
Answer:
Step-by-step explanation:
mp (-4,-6) (5,-6)
mp (-4+5/2, -6+-6/2)
mp ( 1/2, -12/2)
mp (0.5, -6)
х
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Step-by-step explanation:
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What is 5x-7=-10x+8
Answers
explation: 5(1)-7=-2
-10(1)+8=-2
subtract 5 from both sides -
5x - 7 = -10x + 8
-5 -5
-7 = -15x + 8
subtract 8 from both sides -
-7 = -15x + 8
-8 -8
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now divide both sides by -15 -
-15/-15 = -15x/-15
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Answers
Answer:
15 times 3 is equal to45
Identify a transformation of the function ƒ(x) = x2 by observing the equation of the function g(x) = (x + 80)2.
Answers
Answer:
Horizontal translation left 80 units
Step-by-step explanation:
f(x) -> f(x+80) -> (x,y) -> (x-80, y)
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
Which number equals 3/4 to the power of negative 2?
Answers
I just worked it out and got 16/9
Hope this helps !
-4*-4=16
-3*-3=9
This should be correct
50 Points For All these Answers
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
hola alguien para hablar estoy aburrida y me gustaría hablar con alguien
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Answer:
i know english only
Step-by-step explanation:
sorry but you stupit you not good at englis
Of the children in Russell's class, 10 have a blue biock and 7 have a green block:4 children have both a blue block and a green block. How many children have a blue black but not a green block
Answers
Answer:
10 have blue 7 have green blocks and 4 have a blue and green block. but only 10 have just a blue block
solve 4x^3 + 10 when x = -3
Answers
Answer:
[tex]4 \times {( - 3)}^{3} + 10 = 4 \times ( - 27) + 10 = - 108 + 10 = - 98[/tex]
PLZZ HELP WILL GIVE BRAINLIEST TO THE ONE THATS FIRST AND HAS THE CORRECT ANSWER
Answers
Answer:
The answer is A, 17/30.
Step-by-step explanation:
1/10+1/3= 13/30
(1) - 13/30 = 17/30.
- If you think that my answer was helpful, give me the brainliest answer!
find the distance between each pair of point. Round to the nearest hundredth(-8, -2) and (6, -1)
Answers
Answer:
the square root of 197
Step-by-step explanation:
delta x=14
delta y=1
therefore with the Pythagorean theorem, the hypotenuse/distance is the square root of 197
A pizza shop charges $5 for a slice of pizza. They cut each whole pizza into 8 slices. They sold 107 pizzas by the slice. How much money did they make?
Answers
Answer:
$4280
Step-by-step explanation:
$5x8= $40
107x$40= $4280
evaluate -6-(-5) x (-9)
Answers
That’s the answer
The value of q is the ____ intercept of y= ax^2 +q The q value moves the graph ____ units ____or______ and has ______ on the ________of the parabola. The value of q causes a ____ shift of the parabola. The value of q causes a _____ shift of the graph.
Answers
Answer:
See belowStep-by-step explanation:
Since no drop-downs are given, I'll guess and add the most suitable words for you.
The value of q is the y- intercept of y= ax^2 +q.
The q value moves the graph q units up or down and has (no option, could be shift) on the graph of the parabola.
The value of q causes a vertical shift of the parabola. The value of q causes a vertical shift of the graph.
PLEASE HELP ME!!!!!!
Answers
its just -1/2 tho or -0.5
Need the answer for numbers 4,8,and 12
Here’s the answers they could be!
There’s 4 of the answers that won’t be used
539.68
-438.75
22.54
136.6
79.38
-65.9
167.5
Answers
9514 1404 393
Answer:
4) -438.75
8) 539.68
12) 22.54
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic.
__
4) 6xy = 6(-7 1/2)(9 3/4) = -6(7.5)(9.75) = -438.75
__
8) I = prt = $2442 × 0.085 × 2.6 = $539.68
__
12) I = prt = ($578)(0.0325)(1.2) = $22.54
Problem D: PRAMHW Jade's softball team went to the batting cages for practice. Jade hit 28 out of 30 pitches. If she goes back after practice for 100 more pitches, how many would you expect her to hit? Round your answer to the nearest hit
Answers
Answer:
93
Step-by-step explanation:
Direct proportion.
If 28 out of 30, how many out of 100?
(30*100)/28= 93.3333
can u please help me
Answers
The correct answer should be 50 feet per side. I hope this helped you.
what does it mean is x=5 a solution?
Answers
Answer:
it can mean that on a graph where y=0 and x=5 that the line goes through that point or I can just mean in an equation that if y is 0, then x is 5
Plz help! A B C or D
Answers
Answer:
d thats the answer i think
Plug in the point to find b (y int.)
0 = 1/3(-6) + b
0 = -2 + b
b = 2
Solution: y = 1/3x + 2
what is the answer to 5x + 1 = 3x + 7
Answers
Answer:
x = 3
Step-by-step explanation:
5x+1-1=3x+7-1
5x=3x+7-1
5x=3x+6
5x-3x=3x+6-3x
2x=3x+6-3x
2x = 6
---- ----
2 2
x=3
Answer:
X=3
Step-by-step explanation:
5x+1=3x+7
-1 -1
5x=3x+6
-3x -3x
2x=6
x=3
please help me it's an 8 grade question
Answers
I need help with factoring trinomals.
Please explain how you got the answer.
Answers
9514 1404 393
Answer:
(x +6)(3x +4)
Step-by-step explanation:
The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.
72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9
Sums of these factor pairs are 73, 38, 27, 22, 18, 17.
Now, you can rewrite the expression splitting the middle term into two parts:
3x² +4x +18x +24
x(3x +4) +6(3x +4) . . . . . . factor by grouping
(x +6)(3x +4) . . . . . . . . . . your factored form
_____
Additional comment
I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.
One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:
(3x +4)(3x +18)/3 = (3x +4)(x +6).
In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.
[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]
Use midterm splitation[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]
Take 3x and 4 common[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]
Simplify[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]
Done!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
10
9
8
7
g(x)
6
3
f(x)
Answers
Answer:
The answer is
Step-by-step explanation:
f(x) & g(x) = f(x) + k
3•6 & 7•6 = 3•6 + k
18 + 42 = 18k
60 = 18k
when multiplying 32 and 12 how many partial products will there be
Answers
Answer:
12
Step-by-step explanation:
32*12
twelve is the amount of products there will be
Multiplication is the process of multiplying. When multiplying 32 and 12, the number of partial products will there be 4.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The partial product technique is multiplying each digit of a number in turn with each digit of another, with each digit remaining in its original position.
The multiplication of the two given term 32 and 12 can be done as,
32 × 12
= (30 + 2) × (10 + 2)
= (30×10) + (30×2) + (2×10) + (2×2) {This are the partial products}
Hence, when multiplying 32 and 12, the number of partial products will there be 4.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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Please help me with this homework
Answers
Answer:
[tex]slop = \frac{y2 - y1}{x2 - x1} = \frac{ - 4 - 1}{ - 4 - 0} = \frac{ - 5}{ - 4} = 1.25[/tex]
A market research firm is studying the effects of price and type of packaging on sales of a particular product. Twenty-seven stores with shoppers of similar characteristics will be used in the study. The nine combinations of three price levels and three packaging types are the treatments of interest. Total sales of the product over a seven-week period will be recorded. Which of the following describes the best design to use for the study?
a. А A completely randomized design Randomly assign the nine combinations of price level and packaging type that three stores use each combination
b. A completely randomized design. Randomly assign the three price levels so that nine stores use each price level
c. A completely randomized design. Randomly assign the three packaging types so that nine stores use each type of packaging
d. A randomized block design Use packaging as a block. Randomly assign the nine combinations of three price levels and three packaging types so that three stores use each combination
e. A randomized block design. Use packaging as a block Randomly assign nine stores to each packaging type, then randomly assign price level to three stores within each block.
Answers
The market research can increase the precision of the result of the study by
using a randomized block design RBD
The best design the market research company should use for the study is
d. A randomized block design Use packaging as a block. Randomly assign
the nine combinations of three price levels and three packaging types so
that three stores use each combination
Reason:
The given parameters are;
The study = The effect of price and type of packaging
Number of stores in the study = 27 stores
Characteristics of the shoppers in the stores = Similar
Number of packaging type = 3 (three)
Number of price levels = 3 (three)
The number of pair combinations = ⁶₂C - (3, pairs of the same packaging +
3, pairs of the same prices) = 9
Required:
The best design to use for the study
Solution:
Given that the shoppers at each store are similar, in order to differentiate
and show the effect of the price and package combination, it is possible to
group the treatment into groups having a particular characteristics, while
ensuring that the other available treatments are assigned to each member
within a group at least once.
The above design of the study is known as a randomized block design,
therefore;
The correct option is d. A randomized block design Use packaging as a
block. Randomly assign the nine combinations of three price levels and
three packaging types so that three stores use each combinations.
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https://brainly.com/question/15712468