Select the correct answer.
Which statement best defines an angle?

A.
two rays that share a common endpoint called the vertex
B.
two line segments that intersect at a point called the vertex
C.
two lines that intersect at a point called the vertex
D.
two lines that share a common line segment called the vertex

Answer:

Domain: (-4, 4) Range: (0,4)

Step-by-step explanation:

Domain is the furthest left and right points on the x-axis while the range is the same but instead of it being the x-axis, it would be the y-axis. The graph shows -4 to 4 being the domain and 0 to 4 being the range.

Answer:

2 years

Step by step explanation:

Let Paul's brother's age be x years.

Paul is 6 times as old as hus brother so, his age will be 6x.

According to question, Paul's age is 12 years so,

6x=12

or, x=12/6

or, x=2

Hence, his brother is 2 years old.

The age of paul's brother will be 2 years.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Paul is 6 times as old as his brother. Paul is 12 years old. The age will be calculated as below:-

Let Paul's brother's age be x years.

Paul is 6 times as old as his brother so, his age will be 6x.

According to the question, Paul's age is 12 years so,

6x=12

x=12/6

x=2

Hence, his brother is 2 years old.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

x = 11/5

Step-by-step explanation:

4x + 2 + 3x = 5 + 2x + 8

Combine like terms

7x+2 = 2x+13

Subtract 2x from each side

7x+2-2x = 2x+13-2x

5x+2 = 13

Subtract 2 from each side

5x+2-2 = 13-2

5x = 11

Divide each side by 5

5x/5 = 11/5

x = 11/5

Answer:

2.2

Step-by-step explanation:

4x+2+3x=5+2x+8

combine like terms

7x+2=2x+13

Subtract 2x from each side

5x+2=13

subtract 2 from each side

5x=11

Divide each by five

x=2.2

Answer: $725.40

Step-by-step explanation:

6:15A.M. - 4:15 P.M. = 10 hours - 1 hour lunch = 9 hours/day

$16.12hr*9 hours = $145.08 per day

Monday thru Friday = 5 days

$145.08 * 5 = $725.40 per week

Answer:

-4 and -2.

Step-by-step explanation:

First of all,... OH MAN,... that is serious brain twisting logic (if you can call it logic) and to be fair I had to ask a math expert person I'm acquainted with,... cause I didn't know either,... so nothing to be ashamed about,...

If we let 2x equal the lesser of the two consecutive EVEN integers, and we let y equal 2x+2 be the greater of the two consecutive EVEN integers,

(For example, this is like x = 1, so 2x=2, y=4  or  x=7, so 2x=14 and y=16, we add 2 to the lesser even integer to get the next CONSECUTIVE even integer.)

This, y=2x+2,  is one of the equations we need.  To get the other,

 "Four times the lesser (4*2x) is (=)  12 less (-12) than twice the greater (2y)."

Doing it all in math, we get:

4(2x) = 2y - 12

This simplifies to:

8x = 2y - 12

And using the first equation (y=2x+2) we can substitute "2x+2" in for "y"  

8x = 2(2x + 2) - 12

Simplify the right side by first distributing:

8x = 4x + 4 - 12

Combine like terms on the right.

8x = 4x - 8

Subtract 4x from both sides

4x = -8

Divide both sides by 4

x= -2

Remember, our lesser even integer is 2x, so the lesser integer is 2*(-2)= -4, the greater is (-4)+2= -2.

Final answer:  The two consecutive even integers are -4 and -2.

To be even more fair I don't fully understand this completely either,... he explained it to me and I and getting it,... so anyway,... Hope it helps, and

Chow,...!

Answer:

OPTION B: 80

SEE THE IMAGE FOR SOLUTION

Answer:

40

Step-by-step explanation:

First, do the equation in the parentheses

5(6+2)

5(8)

then multiply

5 * 8 = 40

Answer:

40

Step-by-step explanation:

5(6+2)

Parentheses first

5(8)

Multiply

40

Answer:

∠BAC=70°

Step-by-step explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°

Answer:

x = 6

Step-by-step explanation:

Because AB = BC and AB = 4x , AC = 24

=> 4x = 24

      x =6

Answer:

X=3

I hope this helps,

Not the neatest of handwriting though

Answer:

1/4 of the men are right handed.

Step-by-step explanation:

You know nothing about the women. You know only about the men, so the answer has to be expressed in terms of men.

3/10 * 5/6 = 15 / 60 = 1/4

Answer:

5/7

Step-by-step explanation:

[tex] \dfrac{ - 2}{21} \div \dfrac{ - 2}{15} [/tex]

[tex] \dfrac{ - 2}{21} \times \dfrac{15}{ - 2} [/tex]

[tex] \dfrac{ - 30}{ - 42} [/tex]

[tex] \sf \: \dfrac{5}{7} [/tex]

Answer:

y = -3x - 8

Step-by-step explanation:

[tex]y =\frac{1}{3}x+ 2[/tex]

Here slope m = (1/3)

Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex] = -1 ÷ [tex]\frac{1}{3} = -1 *\frac{3}{1}= - 3[/tex]

Slope m1 = -3 and (-3 ,1)

Equation of line:

y -y1 = m(x -x1)

y - 1 = -3(x - [-3])

y - 1 = -3(x + 3)      

y - 1 = (-3) *x + 3*(-3)

y - 1 = -3x - 9

    y = -3x -9 +1

y = -3x - 8

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 2 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 3, 1 ) into the partial equation

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = - 3x - 8 ← equation of perpendicular line

Answer:

4

Step-by-step explanation:

22=4(x+3)-5

22+5=4(x+3)-5+5

27=4(x+3)

27/4=4(x+3)/4

27/4=x+3

(27/4)-3=x+3-3

x=(27/4)-3

x=15/4

x=3.75

x=4

[tex]\\ \sf\longmapsto Area=LB[/tex]

[tex]\\ \sf\longmapsto Area=(x+4)(x-9)[/tex]

[tex]\\ \sf\longmapsto Area=x(x-9)+4(x-9)[/tex]

[tex]\\ \sf\longmapsto Area=x^2-9x+4x-36[/tex]

[tex]\\ \sf\longmapsto Area=x^2-5x-36[/tex]

Step-by-step explanation:

Solution,

Given:-

Length=x+4

Width=x-9

Now,

By applying the formula for area of rectangle, we get

Area=length×width

Area=(x+4)(x-9)

Area=x(x-9)+4(x-9)

Area=x²-9x+4x-36

Area=x²-5x-36

Answer:

Step-by-step explanation:

hope that image helps

Answer:

Down below

Step-by-step explanation:

a. The range of y = sinθ is [-1,1]

b. The period of y = cosθ is 2π

c. The asymptotes of y = tanθ are -π2, π2, πn

d. The amplitude of y = sinθ is 1

e. The period of y = tanθ is π

f. The max value of y = cosθ is 1

Answer:

1/2

Step-by-step explanation:

3 is half of 6  so the smallest term would be 1/2.

Let it be x

ATQ

[tex]\\ \sf\longmapsto x+\dfrac{-5}{6}=\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6x-5}{6}=\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 3(6x-5)=6(2)[/tex]

[tex]\\ \sf\longmapsto 18x-15=12[/tex]

[tex]\\ \sf\longmapsto 18x=12+15=27[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{27}{18}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{3}{2}[/tex]

Answer:

51.35 mph to the nearest hundredth.

Step-by-step explanation:

The time she takes to travel 60 miles = distance / average speed

= 60/50 = 1.2 hours.

Total time taken =  1.2 + 2.5

= 3.7 hours.

Total distance travelled = 60 + 130

= 190 miles.

Therefore average speed for the whole journey

= 190 / 3.7

= 51.35135 mph.

Answer:

No.

Step-by-step explanation:

His rent for the year will be 1000 * 12 = $12,000 which is the same as his income!.  No money left for food, travel and other expenses.

Answer:

30+(4x-4)=180-90(angle sum of triangle)

30+4x-4=90

4x+30-4=90

4x+26=90

4x=90-26

=54

x=54÷4

=13.5

Answer:

hey there your picture is not clear and also it is cropped so height is not visible

But for TSA you can do this by the formula of πr(l+r)

Answer: The answer I got is 15.6

Answer:

45 nickels

30 quarters

60 dimes

15 pennies

Step-by-step explanation:

Quarters:

45÷3=15

15×2=30

Dimes:

30×2=60

Pennies:

60-45=15

Answer:

Step-by-step explanation:

Hello,

So you are gonna have 32 quarters.

One dime and one nickle.

Answer:

9 feet

Step-by-step explanation:

this is asking for one length of the sides of the garden. using key words, such as ~squared~ we can conclude that the shape of the garden is in fact a square, therefore, all sides will be equal. 9x9 would be the equation used, and even then the number is too large. all of the other options are larger therefore I don't think they are your answer.

Answer:

y = 2

because when you transpose -12 it changes the sign it become positive