Write 315 as a product of primes.

Answer:

729 : 9 = 80 +1 is correct

Answer:

3/2(5/3) - 1 1/4 + 1 1/2

= 11/4

Step-by-step explanation:

Step-by-step explanation:

1.5x + 6-3= 4.5x- 2

1.5x+3=4.5x-2

we transposed

4.5x-1.5x= 3+2

3x= 5

we divide both sides by 3

3x/3= 5/3

x= 5/3

Answer:

X = 900

Step-by-step explanation:

0.9x = 830 - 20  

0.9x = 810

x = 900

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:

The common difference is -5

Step-by-step explanation:

45-40=5, 40-35=5, etc.

Answer:

Step-by-step explanation:

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form [tex](x,y)[/tex].

So, first, we need to plot 11 on the [tex]x[/tex]-axis (the line going left to right, horizontal) then plot 7 on the [tex]y[/tex]-axis (the vertical line)

So we first go 11 units to the right along the [tex]x[/tex]-axis then go up 7 units along the [tex]y[/tex]-axis.

Hope this helped.

Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps and the image given below.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

Answer:

x= plus or minus square root of 19 -4

Step-by-step explanation:

x^2+8x ___=3

take half of your b term (8) and then multiply by two and add or subtract it to both sides

x^2+8x+16=3+16

then combine like terms

x^2+8x+16=19

then factor your quadratic equation

(x+4)^2=19

now solve for x

take the square root of (x+4)^2 to get rid of the ^2

you then also have to square the 19 because what you do to one side you have to do to the other

(x+4)= square root of 19

subtract 4 from both sides

x= plus or minus square root of 19 -4

Answer:

Step-by-step explanation:

Divide the coefficient of x by 2

8/2 = 4. Now find the square of 4 = 4² = 16

Add 16 to both sides of the equation

x² + 8x + 16 = 3  + 16

x² + 2* x * 4 + 4² = 19

{Compare with a² + 2ab + b² = (a + b)² }

(x + 4)² = 19

Both sides take square root,

[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]

x + 4 = ± 4.36

x + 4 = 4.36   ; x +  4 = -4.36

x = 4.36 -4     ;    x  = -4.36 - 4

x = 0.36         ; x = - 8.36

True

Step-by-step explanation:

cause the tint of the earth's axis dose shine on different latitudes at different angles throughout the year

Answer:

Negative, -17/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

180 -

Answer:

(a) (7, -3)

(b) (-7, 3)

Step-by-step explanation:

Answer:

2/1 or 2

Step-by-step explanation:

-8/-4= 8/4= 4/2= 2/1

Hope this helps!

If correct pls mark brainliest:)

Both negatives will eliminate each other, and 8/4 is 2.

Answer:

49.0?

Step-by-step explanation:

its probably wrong lol

I would say 50 meters

Answer:

y=3x+3

Step-by-step explanation:

Answer is corresponding angle

Answer:

43/30

Step-by-step explanation:

Answer:

I THINK its 1.5?

Answer:3/2

Step-by-step explanation:

hope this helps, LOOK AT THE PICTURE

Answer:

7x

Step-by-step explanation:

Answer:

7x

Step-by-step explanation:

4x+3x

4+3=7

add x, same answer of 7x

Answer:

x=50

Step-by-step explanation:

This is a vertical angle, so the angle on top and the bottom are equal

[2(x+10)]=3x-30

2(x+10)=3x-30

2x+20=3x-30

50=x

Answer: 9

12-1.5t

Step-by-step explanation:

1.5*2=3

12-3=9

1.5*t=1.5t

If he used 3 gallons of gas. Then the amount of the gas in the tank after driving for 2 hours will be 9 gallons.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas.

Then the amount of the gas in the tank after driving for 2 hours will be

The amount of gas used in 2 hours will be

Used gas = 2 x 1.5

Used gas = 3 gallons of gas

Then the remaining amount will be

Remaining amount of gas = 12 - 3

Remaining amount of gas = 9 gallons

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

the answer to your question is is 5 and more

ummmm where is equation

my own

2x = 9 and x = 3

it shld be 3x instead of 2x

Answer

0.5454...

Step-by-step explanation:

    0.5454

11⟌60000

    - 0

       60

-       55

          50

-          44

             60

-             55

                50

-                44

                   6

Answer:

slow down plz

Step-by-step explanation:

there ain't no way that is ur work