What is a necessary step for constructing parallel lines?

Draw a line that intersects the first line using a straightedge.
Draw a ray that intersects the first line at a right angle using a straightedge.
Draw arcs on either side of a given point on the line.
Draw arcs on either side of a given point off the line.

Answer:

$1,110

Step-by-step explanation:

You have to use the interest formula to calculate how much each brother will have after a year.

A = P(1+r)^t

A = future/ending value

P = principle

R = interest rate

T = time (given in years)

Charles = 30,000(1+.025)^1 = 30,750

Brian = 30,000(1+.062)^1 =31,860

31,860-30,750=1,110

Brian will have $1,110 more than Charles after 1 year

[tex]\boxed{y}=\cfrac{1}{2}x-4\\\\ y=-2x+1 \end{cases}\qquad \qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\boxed{y}}{\cfrac{1}{2}x-4}~~ = ~~-2x+1} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{1}{2}x-4 \right)~~ = ~~2(-2x+1)}\implies x-8=-4x+2\implies 5x-8=2[/tex]

[tex]5x=10\implies x=\cfrac{10}{5}\implies \blacktriangleright x=2 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y==\cfrac{1}{2}x-4}\implies y=\cfrac{1}{2}(2)-4\implies \blacktriangleright y = -3 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (2~~,~~-3)~\hfill[/tex]

Answer:

About $4.88.

Step-by-step explanation:

Answer:

x = -16

Step-by-step explanation:

Step-by-step explanation:

F = 9(11) + 19 [ z = 11]

= (9 × 11) + 19

= 99 + 19

= 118

H = 11(11) - 3 [z = 11]

= 11 ×11 - 3

= 121 - 3

= 118

Answer:

Angle F and H are equal, and Angle E and G are equal. EFGH is a parallelogram because opposite angles are congruent.

Step-by-step explanation:

Step 1:

Insert z=11 into (9z+19), angle F,  and (11z-3), Angle H,  to find the angle lengths.

9(11)+19=118

11(11)-3=118

We see that they are the same angles! In step 2, we see the same thing happen. Note that the definition of parallelograms is that opposite sides and angles are equal.

Sentence completion: Angle F and H are equal (We see that in step 1), and  Angle E and G are equal (Shown in step 2, which is done for you.) EFGH is a parallelogram because opposite angles are congruent. Hope this helps!

The given measure of the angle in standard form, -17•π/6, gives;

A. The terminal side of the angle, -17•π/6 is located in the third quadrant

B. The reference angle is 150°

C. The values of the six trigonometric functions are;

Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.

A. The given measure of the angle is -17•π/6

2•π radians = 360°

π radians = 180°

-17•π/6 = -(2+(5/6))•π

Therefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°

The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axis

B. The reference angle is the acute angle between the terminal side and the x–axis

Therefore;

C. The six trigonometric functions are;

cosine, sine, tangent, cotangent, secant, and cosecant

Learn more about trigonometric ratios here:

https://brainly.com/question/11967894

#SPJ1

Answer: I hope this helpful

Step-by-step explanation:

The given measure of the angle in standard form, -17•π/6, gives;A. The terminal side of the angle, -17•π/6 is located in the third quadrantB. The reference angle is 150°C. The values of the six trigonometric functions are;cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.A. The given measure of the angle is -17•π/62•π radians = 360°π radians = 180°-17•π/6 = -(2+(5/6))•πTherefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axisThe terminal side is in the third quadrant B. The reference angle is the acute angle between the terminal side and the x–axisTherefore;The reference angle is 150°C. The six trigonometric functions are;cosine, sine, tangent, cotangent, secant, and cosecantcos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:brainly.com/question/11967894#SPJ1Explore all similar answersTHANKS 25.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSReady to dive into rabbit hole and unlock a badge.ASK YOUR QUESTIONHelp others with Mathematics questions+1 NEW QUESTION6 minutes agoFirst questionA regular hexagon and a regular pentagon have the same perimeter. All measurements are given in centimetres. The hexagon has a side length given by 7m +3. The pentagon has a side length given by 8m + 6. Work out the value of m.ADD ANSWER+5017 minutes ago(y)/(a)-b=(y)/(b)-a if a is not equal to bADD ANSWER+523 minutes agoFirst questionProducts A and B are made according to the bill of materials diagram shown below. Scheduled quantities of the end products are, for A, 95 units in week 4, 150 units in week 6, and 130 units in week 8, and for B, 80 units in week 3, 70 units in week 6. Lead-times: A = 2 weeks, B = 1 week.ADD ANSWER+524 minutes agoFind the compound interest earned by the deposit. Round to the nearest cent. 1) $3000 at 5% compounded semiannually for 6 years 2) $700 at 8% compounded quarterly for 5 yearsADD ANSWER+725 minutes agoFind the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent. $6282 earning 9% for 9 monthsADD ANSWER+5LOAD MOREPreviousNext

Answer:

Divide each term in

4

x

=

28

by

4

.

4

x

4

=

28

4

Cancel the common factor of

4

.

Tap for more steps...

x

=

28

4

Divide

28

by

4

.

x

=

7

Step-by-step explanation:

hope it helps you

Inequalities are used to represent unequal expressions

The solution to the system of inequalities is (-1,1)

The system of inequalities is given as:

y > x + 2 and

y < 2x + 3

To do this, we start by plotting the graphs of the two inequalities

y > x + 2 and  y < 2x + 3

See attachment for the graph

From the attached graph, both lines meet at (-1,1)

Hence, the solution to the system of inequalities is (-1,1)

Read more about system of inequalities at:

https://brainly.com/question/9774970

[tex]\tt =\dfrac{135}{15}=9\:ft/s[/tex]

Answer:

Jami has $13.5

Mami has $18.5

Step-by-step explanation:

Let j = Jami's money

     m - Mami's money

j + m = 32

j = m -  5 (Since Jami basically has 5 less than Mami)

Substitute the j in the top equation

m - 5 + m = 32

2m - 5 = 32

Add 5 to both sides

2m - 5 = 32

2m = 37

Divide both sides by 2

2m/2 = 37/2

m = 37/2 = 18.5

Now plug the new m into the bottom equation

j = 18.5 - 5

j = 13.5

Answer:

10

For this case what we must do is a division using the following relationship:

Substituting values we have:

Rewriting the fraction we have:

Simplifying we have:

Answer:

The number of times repeated 2/5 for 4 is:

10

Answer:

B 26 < 30

Step-by-step explanation:

30 is greater than 26, and this is the only statement that is correct.

Answer:

41/12

Step-by-step explanation:

Answer:

2 1/2 (or 2 3/6)

Step-by-step explanation:

[tex]\frac{Numerator}{Denominator}[/tex]

both denominators are the same so you can just subtract 2 from 4 and also the numerators which are 2 and 5.

4 - 2 = 2

5/6 - 2/6 = 3/6

so the answer is 2 3/6 which simplifies to 2 1/2

Answer:

2/6 or 1/3

Step-by-step explanation:

Nothing it is just basic mathematics

Fraction form

[tex]\\ \tt\rightarrowtail \dfrac{2}{6}[/tex]

[tex]\\ \tt\rightarrowtail \dfrac{1}{3}[/tex]

Answer:

C) x = -2

Step-by-step explanation:

Original equation:

[tex]12+\sqrt{1-4x}=15\\[/tex]

subtract 12 from both sides:

[tex]\implies \sqrt{1-4x}=3[/tex]

square both sides:

[tex]\implies 1-4x=9[/tex]

subtract 1 from both sides:

[tex]\implies -4x=8[/tex]

divide both sides by -4:

[tex]\implies x=-2[/tex]

[tex]\\ \tt\rightarrowtail 12+\sqrt{1-4x}=15[/tex]

[tex]\\ \tt\rightarrowtail \sqrt{1-4x}=3[/tex]

[tex]\\ \tt\rightarrowtail 1-4x=3^2[/tex]

[tex]\\ \tt\rightarrowtail 1-4x=9[/tex]

[tex]\\ \tt\rightarrowtail -4x=8[/tex]

[tex]\\ \tt\rightarrowtail x=-2[/tex]

Answer:

-5 and 2

-5 and 2-3 and 0

-5 and 2-3 and 0-2 and - 1

(When you add them you'll get - 3)

Hope this helps!

Answer:

0.16

Step-by-step explanation:

2.88 divided by 18 = .16

Answer:

0.16

Step-by-step explanation:

2.88/18 = 0.16

because you divide the total cost of the box of dog biscuits with the total amount of biscuits that are in the box and then that gives you 0.16.

So each dog biscuit cost $ 0.16

Answer:

Between 8 and 9

Step-by-step explanation:

We know that the equation for the volume of a cone is V = 1/3(pi)r^2h

So,

V = 1/3(pi)r^2h

150pi = 1/3(pi) r^2 h --> the pi's cancel out and then we are left with...

3(150) / h = r^2

Plug in values and simplify --> r = sqrt.(450/6) and you end up getting 8.66025403784.

Hope that helps!

Answer:

15

Step-by-step explanation:

In the function f(x), x is the variable. So, whatever is in the parentheses, replacing x, should replace x throughout the entire function. So, to find f(4) simply plug in 4 for x.

f(4) = 4^2 - 4 + 3

f(4) = 4^2 - 1

f(4) = 16 - 1

f(4) = 15

Answer:

f(4) = 15

Step-by-step explanation:

Substitute 4 for x and solve for f(4).

[tex]f(x)=x^2-x+3\\f(4)=(4)^2-4+3\\f(4)=16-4+3\\f(4)=15[/tex]

Answer:

Step-by-step explanation:

$5.79 for 8 quarts

[tex]\frac{5.79}{8}[/tex] = 0.72375 ≈ 0.72  dollar per quart

[tex]\frac{8}{5.79}[/tex] ≈ 1.38 quarts per dollar  

Answer:

C

Step-by-step explanation:

Because if you can read the whole thing u can find what you need to find

Answer:

A’ is (3,-3)

B’ is (-1,-4)

C’ is (-1,2)

D’ is (3,1)

Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me

Answer:

1.57

Step-by-step explanation:

Answer:

This equation has No Solutions.

Step-by-step explanation:

It is parrel because it has the same x. When equations have the same x it is always parrel or it always has no solutions.

I hope it helps! Have a great day!

Lilac~

The solution to the system of equation is (4, 0)

Given the system of equation expressed as:

y=-x+4

y=x-4

Equate both expressions to have;

-x + 4 = x - 4

collect the like terms

-x - x = -4- -4

-2x = -8

x = 4

Since y = x - 4

y = 4-4

y = 0

Hence the solution to the system of equation is (4, 0)

Learn more on system of equations here: https://brainly.com/question/14323743

Answer: D) 12 units

Explanation:

There are 12 spaces between T and S.

You can count the spaces out, or subtract and use absolute value.

You could use the distance formula, but it's a bit overkill in this situation. The distance formula is only ever needed whenever we don't have horizontal or vertical line segments.

Edit: The solution has been corrected to the correct value.

Answer: I believe is is C, rotations and translations

Step-by-step explanation:

This is because a congruent figure is one that has the same side lengths and angle measures.

Stretches and dilations are non-rigid transformations which change the length of the sides of a shape. While rotations, transformations, and reflections are rigid transformations which preserve angle measure and side length.

So, while a shape can be similar using stretches and dilations, they cannot be congruent.

Answer:

0.25 and 25%

Step-by-step explanation:

25% is the same as 1/4

0.25 is the same as 1/4

Answer:

1/4 = 0.25

1/4 = 25%

1/4 or 1 divided by 4 equals 0.25 (decimal) and 25% (percentage).