Suppose that R and S are points on the number line.
If RS=12 and R lies at -14, where could S be located?

9514 1404 393

Answer:

 4.  6.7 inches, 1.1 inches, and 7.9 inches

Step-by-step explanation:

In order for three lengths to be able to form a triangle, the sum of the shorter two must exceed the longest.

1. 2.3 +3.2 > 3.4 . . . will form a triangle

2. 1.2 +4.8 > 5 . . . will form a triangle

3. 2.5 +2.5 > 2.5 . . . will form an equilateral triangle

4. 1.1 +6.7 = 7.8 ≯ 7.9 . . . will not form a triangle

_____

The symbol ≯ is "not greater than". The typeset version looks like ...

  [tex]1.1+6.7 \ngtr 7.9[/tex]

Answer:

2,7 3,6

Step-by-step explanation:

Answer: The actual pool is 44 m long.

Step-by-step explanation:

Given : The scale used for drawing :

9 mm: 4 m

i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.

If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]

hence, the actual pool is 44 m long.

Answer:

(a) 32         (b) 192

Step-by-step explanation:

Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but  the height would stay the same.

Hope this helps :D

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

Answer:

y=-2x^2+10x-12

Step-by-step explanation:

graph is shown in image below

See attachment for math work and answer.

Answer:

The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.

Step-by-step explanation:

The percentage concentration ([tex]r[/tex]), dimensionless, is determined by the following expression:

[tex]r = \frac{V_{sugar}}{V_{sugar}+V_{water}}[/tex] (1)

Where:

[tex]V_{sugar}[/tex] - Volume of sugar, measured in gallons.

[tex]V_{water}[/tex] - Volume of water, measured in gallons.

A 70 % sugar syrup means that there are 7 parts of sugar for each 10 parts of solution, that is, 7 parts of sugar and 3 parts of water. We need to add more water to dilute the solution to 40 %. Then, the new concentration must be equal to:

[tex]r' = \frac{V_{sugar}}{V_{sugar}+V_{water}+V'}[/tex] (2)

Where [tex]V'[/tex] is the addition of water needed to dilute the solution, measured in gallons.

If we now that [tex]V_{sugar} = 3.5\,gal[/tex], [tex]V_{water} = 1.5\,gal[/tex] and [tex]r' = 0.4[/tex], then the quantity of additional water is:

[tex]\frac{3.5\,gal}{5\,gal+V'} = 0.4[/tex]

[tex]3.5 = 0.4\cdot (5+V')[/tex]

[tex]3.5 = 2+0.4\cdot V'[/tex]

[tex]0.4\cdot V' = 1.5[/tex]

[tex]V' = 3.75\,gal[/tex]

The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.

Answer:

3.75 gallons of water should be added

Step-by-step explanation:

Answer:

A- 200+25x

B- 200+25×4=300

Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought

Step-by-step explanation:

Answer:

f(n) = 1

Step-by-step explanation:

Another answer for -3. FxN= -3

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Answer: heyo my friend, missed ya <3

Step-by-step explanation:

Answer:

141 = 145    184-188

Step-by-step explanation:

to find the pattern you would have to see what each of them have in common

All of them 4 was added to the answer

I subtracted both numbers and got 4 then i decided to add 4 to get the other to get the pattern

Answer:

Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.

I just took the test and got it right :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

9x^2-25=0

x= 5/3 and -5/3

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex]  , where x is variable and a, b and c are any real numbers and  a ≠ 0 is called quadratic equation .

given quadratic equation :

[tex]9x^2-25=0\\\\[/tex]

Adding 25 both sides

[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]

Dividing by 9 on both sides

[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]

Taking square root both sides

[tex]x= \pm \sqrt(\frac{25}{9})[/tex]

[tex]x= \pm \frac{5}{4}[/tex]

[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

To learn more about quadratic equation visit :https://brainly.com/question/1214333

Answer:

g=9

Step-by-step explanation:

-1/3x9=-3+5=2

Answer:

3. 55

6. 16m

8. 7m + 10

Step-by-step explanation:

Thats all i could do im not that smart

Answer:

Step-by-step explanation:

As we know that

In other words,

so from the diagram,

so

[tex]11x+5\:=\:30+\:\left(-5+7x\right)[/tex]

[tex]11x+5=30-5+7x[/tex]

[tex]11x=7x+20[/tex]

subtract 7 from both sides

[tex]11x-7x=7x+20-7x[/tex]

[tex]4x=20[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

[tex]x=5[/tex]

Therefore, x = 5

Answer:

slope of line perpendicular to given equation(m)=2

Step-by-step explanation:

Answer:

−42x−40

Step-by-step explanation:

Answer: b. Reflection over the y axis.

Step-by-step explanation: The vertical line is the y axis, and the triangle is flipped over it.

Answer:

d

Step-by-step explanation:

2 X 4 =8

8 X 1 = 8

Answer:

Step-by-step explanation:

3). m∠1 = 180° - 98° = 82°

m∠7 = 180° - ( 98° + 23° ) = 59°

m∠6 = 180° - ( 70° + 59° ) = 51°

m∠9 = m∠6 = 51°

m∠10 = 180° - 51° = 129°

m∠4 = 180° - ( 70° + 51° ) = 59°

m∠54 = 180° - (23° + 59° ) = 98°

4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°

m∠2 = m∠5 = 90°

m∠6 = m∠3 = m∠8 = m∠10 = 54°

m∠7 = m∠9 = 90° + 36° = 126°

m∠12 = m∠14 = 180° - 36° = 144°

The measure of an an angle can be found from other known angles and the angular relationships present

The measures of the angles are;

3. a. m∠1 = 82°,    [tex]{}[/tex]     b. m∠4 = 59°,        c. m∠5 = 98°,      d. m∠6 = 51°,            e. m∠7 = 59°,        [tex]{}[/tex]      f. m∠9 = 51°

4. a. m∠1 = 36°,    [tex]{}[/tex]   b. m∠2 = 90°,       c. m∠4 = 36°,          d. m∠5 = 90°,                      e. m∠6 = 54°,       [tex]{}[/tex]    f. m∠7 = 126°,       g. m∠8 = 54°,         h. m∠9 = 126°,          i. m∠10 = 54°,         [tex]{}[/tex]  j. m∠11 = 36°,         k. m∠12 = 144°,      l. m∠13 = 36°,         m. m∠14 = 144°

The reason the above values are correct are as follows;

The known parameters are;

m∠2 = 98°

m∠3 = 23°

m∠8 = 70°

a. m∠1 and m∠2 are linear pair angles

Therefore;

m∠1 + m∠2 = 180°

m∠1  + 98° = 180°

m∠1 = 180° - 98° = 82°

m∠1 = 82°

b. m∠4 = m∠7 = 180° - m∠2 - m∠3

∴ m∠4 = 180° - 98° - 23° = 59°

m∠4 = 59°

c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)

∴ m∠5 = 180° - 23° - 59° = 98°

m∠5 = 98°

Also m∠2 = m∠5 (corresponding angles)

d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)

∴ m∠6 = 180° - 59° - 70° = 51°

m∠6 = 51°

e. m∠7 = m∠4 = 59° (alternate interior angles theorem)

f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)

∴ m∠9 = 180° - 59° - 70° = 51°

m∠9 = 51°

Also, m∠9 = m∠6 = 51° (corresponding angles)

4. m∠3 = 54° (given)

a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)

m∠1 = 36°

b. m∠2 = 90° (given, geometry symbol)

c. m∠4 = m∠1 = 36° (vertical angles)

m∠4 = 36°

d. m∠5 = m∠2 = 90° (vertical angles)

m∠5 = 90°

e. m∠6 = m∠3 = 54° (vertical angles)

m∠6 = 54°

f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)

m∠7 = 36° + 90° = 126°

m∠7 = 126°

g. m∠8 = 180° - m∠7 (linear pair)

m∠8 = 180° - 126° = 54°

m∠8 = 54°

h. m∠9 = m∠7 = 126° (vertical angles)

m∠9 = 126°

i. m∠10 = m∠8 = 54° (vertical angles)

m∠10 = 54°

j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)

m∠11 = 180° - 90° - 54° = 36°

m∠11 = 36°

k. m∠12 = 180° - m∠11 (linear pair)

m∠12 = 180° - 36° = 144°

m∠12 = 144°

l. m∠13 = m∠11 = 36° (vertical angles)

m∠13 = 36°

m. m∠14 = m∠12 = 144° (vertical angles)

m∠14 = 144°

Learn more about angles formed between two parallel lines having a common transversal here:

https://brainly.com/question/11803850

Answer:

The answer is 8 The GCF of 24 and 32 is 8

Step-by-step explanation:

Hope this helps

Answer:

the answer is 8

Step-by-step explanation:

Answer:

Slope of a line perpendicular to a line  = [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

(x₁ , y₁ ) = (3 , -5)      & (x₂, y₂) = (1 , 7)

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]

Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]

                                                    [tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]

Answer:

the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:

Answer:

The number of cars washed per person is not the same for each number of workers, so the relationship is not proportional

Step-by-step explanation:

I-ready

Answer:

You sold 61 news papers.

Step-by-step explanation:

If each paper is $0.50, you multiply it by 61, you will get $30.50

Answer:

Step-by-step explanation:

$0.50 for every newspaper sooo.... 50cts + 50 cts is $1.00

50 .....1.00.....1.50.....2.00....2.50...3.00...3.50...4.00...4.50...5.00...5.50...6.00..

you know where i'm going with this... count by 50s and write them down and then count. it may be a lot but the grades matter. good luck.

Answer:

a times 12=300

Step-by-step explanation:

donated each month a should be 25. $25 times 12 equals 300

Answer:

C.  

a × 12 = 300

Step-by-step explanation: