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Answer:

Step-by-step explanation:

According to Supplementary Angles rules: two angles add up to 180

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.

Answer:

Step-by-step explanation:

This is an AP with:

Find the sum of the first n terms:

The sum is divisible by 4 if n is even number:

Answer:

4 2/3x4= 14x^4/3

3x4/1 = 3^4

Step-by-step explanation:

Answer:

90 miles per hour

Step-by-step explanation:

Divide distance by time to get speed.

[tex]\frac{120}{80}[/tex]=1.5 miles per minute

60 minutes in an hour

1.5(60)=90 miles an hour

Answer:

0

Step-by-step explanation:

Answer:

9875 dollars I believe is your answer

Answer:

9,875

Step-by-step explanation:

u just multiply the number of boxes by 395

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Let's solve for v :

here, the the terms associated with v, that us -14v and 14v gets cancel out, so there's no solution for v and hence it's value can't be determined.

Answer:

using the formula x/a + y/b =1

a: slope intercept on the x axis

b:slope intersect on the y axis

x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)

The answer is D.

If you go to point E and count back 4 units, you will land on point B.

Hope this helps! :)

Answer:

Step-by-step explanation:

[tex] {(2x + 3y)}^{2} + {(2x - 3y)}^{2} \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^{2} + 6xy + 6xy + {9y}^{2} + {4x}^{2} - 6xy - 6xy + {9y}^{2} \\ {4x}^{2} + 12xy + {9y}^{2} + {4x}^{2} - 12xy + {9y}^{2} \\ {4x}^{2} + {9y}^{2} + {4x}^{2} + {9y}^{2} \\ {8x}^{2} + {18y}^{2} \\ 2( {4x}^{2} + {9y}^{2} ) \\ 2( {2}^{2} {x}^{2} + {3}^{2} {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\[/tex]

Step-by-step explanation:

d num i think 2((2x)^2+(3y)^2)

Answer:

$36.8

Step-by-step explanation:

i just calculated it!

32*15% = 4.8

32+4.8= 36.8

for detailed and showed working my answer is in the picture above

lcm = 504

hcf = 8

Answer:

The HCF of 72 and 56 is 8

and, the LCM is 504

Answer:

k =4

k is the amplitude of f(x)

Answer:7/9

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

I hope this helps you.

Answer:

Step-by-step explanation:

(6,9) it think its that

Answer:

6

Step-by-step explanation:

6 devide 2 is 3. 3 plus 3 is 6

Answer:6

Step-by-step explanation: It is solved by BODMAS

BODMAS is a code which means

B= brackets

O=of(*)

D=division

M=multiplication

A=addition

S=subtraction

So first of all 6 divide by 2 then add 3 you will get answer 6

Answer:

-150

Step-by-step explanation:

this is because you do 250 - 100 which equals -150

In part A you subtracted 100 from 100 giving you 0.

Continuing to part B you would subtract 100 from 250 leaving you with 150.

[tex]x^2+7x+4=7x[/tex]

[tex]x^2+4=0[/tex]

[tex]x^2=-4[/tex]

Square of any real number cannot be negative because - * - = + so this equation has no solutions

Answer:

I am pretty sure it is Associative property of addition

Step-by-step explanation:

Step-by-step explanation:

according to arrow the weight is 1400 g.

we know,

1 kg = 1000 g

so,

1 g = 1/1000 kg

so,

1400/1000 = 1.4 kg ans

hope this answer helps you dear!

Answer:

1.4 kg

Step-by-step explanation:

1400 grams, to find kg you have to divide by 1000

Answer:

When it’s time for annual performance reviews, if you plan on including pay raises, you need to know the simple math behind calculating pay increases correctly. Raises can be based on any number of things including a worker’s piers, standard industry rates, length of time on the job, the amount of work to do, and even whether or not the boss likes the employee or not. There are few, if any, laws that govern how and when increases are granted, so it’s up to you to determine what you’re willing to give.

Answer:

Step-by-step explanation:

Assume the person works 40 hours a week and 52 weeks a year.

The hourly pay would be:

The yearly income the second year:

Answer:

The third angle is 97º

Step-by-step explanation:

a triangle has 180º total

so 180-55.5=124.5

124.5÷3=41.5

then add the 55.5 back

41.5+55.5=97

97º

Answer:

A is correct

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3(N² + 4)

3N² = 12

3N² ÷ 3 = 12 ÷ 3

N² = 4

√N² = √4

N = 2

Answer:

11 people

Step-by-step explanation:

first, youd subtract the table reservation price from the max price.

130 - 72 = 58

then, since each person costs $5, you find the highest multiple of 5.

in this case, its 55, which has 11 groups of 5 in it.

to make sure:

you can then subtract 55 from 58 to make sure there isnt any extra 5's.

58 - 55 = 3.

Answer: x=2 because for any y value the x value is always 2.