In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?

b/a⋅c/d=−1

b/a=c/d

b/a=d/c

b/a⋅d/c=−1

Answers

Answer 1

b/a=c/d Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement. b/aâ‹…c/d=â’1 * This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer. b/a=c/d * b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two. b/a=d/c * b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer. b/aâ‹…d/c=â’1 * And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.

Related Questions

You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?

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$1 = 3.70 rand

$450 is the same as 450 * $1, so multiply both sides of the conversion equation above by 450.

450 * $1 = 450 * 3.70 rand

$450 = 1665 rand

y=x^2+8x+6 16x-2y=-44

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What? Is that two problems? I'll change my answer, give me my answer.

What is the percent increase from 42 acres to 72acres

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there is a 71.42857142857143% percent increase you could round that to 71.43%

Help?

Simplify. 9√56x^7y^12 Assume x and y are nonnegative.

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Applying the product property of square roots to the expression 9 * √(56) * √(x^7) * √(y^12), we simplify to 18y^6 * √(14x) * |x^3|.

Apply the product property of square roots:

9 * √(56) * √(x^7) * √(y^12)

Evaluate the square root:

9 * 2 * √(2 * 7) * √(x^7) * √(y^12)

Multiply the numbers:

9 * 2 * √(14) * √(x^7) * √(y^12)

Simplify the square root of an exponential expression:

9 * 2 * √(14) * |x^3| * √(x) * √(y^12)

Simplify the square root of an exponential expression:

9 * 2 * √(14) * √(x) * |x^3| * y^6

Apply the product property of square roots to the product of square roots is equal to the square root of the product:

9 * 2 * y^6 * |x^3| * √(14x)

Multiply the numbers:

18 * y^6 * √(14x) * |x^3|

6 shirts 4 different pairs of pants, how many different combinations could she wear?

Answers

The shirts can be called A, B, C, D, E, F.
the pants can be called 1, 2, 3, 4.
if you combine these together you get
A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 OR 24
You get 24 outfits.

State the vertex as an ordered pair.

y = -|3x +5|+7

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in plain and short, what value of "x" makes the expression |3x + 5| to 0?

well, we can check by simply setting it to 0 and solving for x.

[tex]\bf 3x+5=0\implies 3x=-5\implies \boxed{x=-\cfrac{5}{3}}\\\\ -------------------------------\\\\ \textit{therefore, the vertex of }y = -|3x+5|\boxed{+7}\textit{ is at }\left(-\frac{5}{3}~,~7 \right)[/tex]

notice, all you do is, get the x-value that makes the expression to 0, and then append the constant outside it as the y-value, and that's the vertex.

For a car rental, the rental agency charges $21.00$⁢21.00 per day, plus $0.23$⁢0.23 for each additional mile above 125125. find a function for the cost of a rental where x is the number of miles driven.

Answers

21d+.23x (d being per day) (x being every mile above 125)

Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x.

If y = 25 and k = 50, what is x?

1/2
2
1,250

Answers

y varies inversely as x. this mean x time y = k. We can find x by setting up the equation.

k = xy
Now insert the number we know into the equation. We know y = 25 and k = 50

k = xy
50 = x25
50 = 25x
50 / 25 = 25x/ 25
2 = x
x = 2 <-----answer

Answer: 2

Step-by-step explanation: i got it right :)

the quotient of two numbers subtracted from 20

Answers

The quotient of 2 unspecified numbers means division, being x/y - 20. hopefully this helped.

Liz wants to buy a shirt for $25. How much will Liz's shirt cost in Springfield(4.1%) Round up to the nearest cent? Show your work

Answers

In order to find the total amount of the shirt including tax, first convert the tax into a decimal:
4.1/100 = 0.041 %
Next multiply the cost of the shirt before tax by the tax in decimal form:
25 * 0.041 = 1.025
After that you will add the tax cost and the shirt cost:
25 + 1.025 = 26.025
Finally round to the nearest cent:
26.03
Hope this helps and let me know if you have more questions!

I think it would be $102.6

Light travels 9.45 \cdot 10^{15}9.45⋅10 15 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. there are about 3.15 \cdot 10^73.15⋅10 7 3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year. how far does light travel per second?

Answers

We are given that the distance light travel is:

9.45 x 10^15 meters / year

And that there is:

3.15 x 10^7 seconds / year

So the distance light travels per second is:

distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)

distance = 3 x 10^8 meters / second

The distance of the light travel per second is 3 x 10^8 meters/second

We are given that the distance light travel is

9.45 x 10^15 meters / year

And that there is

3.15 x 10^7 seconds / year

So the distance light travels per second is:

What is the distance light travels per second?

It is defined as the distance that light travels in free space in one second.

Therefore we get,

distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)

distance = 3 x 10^8 meters / second.

Therefore the distance of the light is 3 x 10^8 meters/second.

To learn more about the distance of the light visit:

https://brainly.com/question/9624014#SPJ3

In a study, the sample is chosen by writing everyones name on a playing card, shuffling the deck, then choosing the top 20 cards what is the sampling method

Answers

Random sampling because everyone has an equal chance

Simple random sampling is much better than others because it saves time and it is the most reliable method of obtaining information where every single member of the population is chosen randomly. or by chance. Each has an equal chance to be selected.

Sampling

It is a process applied in statistical analysis in which a predetermined number of observations is taken from a large population.

Given

The sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards.

To find

The sampling method for this condition.

How to choose the sampling method?

So, simple random sampling is much better than others because it saves time and it is the most reliable method of obtaining information where every single member of the population is chosen randomly. or by chance. Each has an equal chance to be selected.

More about the sampling link is given below.

https://brainly.com/question/350477

14 minus the product of three and the number has 26

Answers

Assuming “has” means “equals”

14 - 3 (x) = 26
Subtract 14 from both sides
-3x = 12
Divide both sides by -3
X= -4

Help me solve this plzz!!Simplify:

Answers

a.

You can use the rule:
[tex](a^b)^c=a^{b*c} [/tex]

So, let's do it:
[tex](27x^6)^ \frac{1}{3} = 27 x^{6* \frac{1}{3} } [/tex]

Simplify:
[tex](27x)^2[/tex]

And there you have it. If you need it one step further, then square 27, but take the parenthesis out.

If you need further help, feel free to ask for it.

Describe the transformation.
A) translation 6 units down
B) translation 2 units down
C) reflection across the x-axis
D) reflection across the y-axis

Answers

C) reflection across the x-axis

Answer: C is the answer

Step-by-step explanation:

Choose all of the following relationships that represent functions. please help!!

Answers

The rule of a function is:
You CANNOT have one x-value with multiple different y values in the same function. You can however have different x values with the same y value.
Also for reference: independent means x value and dependent means y- value.

The first answer is not a function because as you can see there is one x-value with multiple y values.

second answer IS a function because as I said before you can have different x values with the same y value

third answer is a function again because you can have different x values with same y value

number four isn't a function bc again the -2 x value has 2 different y Values.

The answers are B and C

Rita earns $17.00 per hour. If she gets a 6% raise, what will be her new hourly wage?

Answers

multiply 17 by 6%

17 * 0.06 = 1.02 increase

17 +1.02 = 18.02 new hourly wage

The areas of: FGHM is 12, MHIJ is 36, EFNL is 24, LNJK is 48. EGIK is a rectangle cut into the rectangles with given areas. What is the area of the shaded quadrilateral EMIN?

Answers

5

Overall area of quadrilateral EGIK is 12+36+24+48 = 120. I'll call the length of EK to be w, and EG to be h, representing width and height.

The line FJ splits EGIK into EFJK and FGIJ which have areas of 72 and 48 respectively. Since EFJK and FGIJ have the width, their heights have to be in the ratio of 72/48 = 3/2. So GF = 2h/5 and EF = 3h/5

Now FGHM and MHIJ share the same height, so their widths have to be in the ratio 12/36 = 1/3, so GH = w/4 and HI = 3w/4

And EFNL and EMIN also share the same height, so their widths have to be in the ratio 24/48 = 1/2, so EL = w/3 and LK = 2w/3.

So the length of MN will be FN - FM. And FN is the same as EL which is w/3, and FM is the same as GH which is w/4. So
w/3 - w/4 = 4w/12 - 3w/12 = w/12

If you look at quadrilateral EMIN, you'll see that it's area is the sum of triangles MNI and MNE. And the area of a triangle is 1/2 bh. And conveniently, we have MN as the base with a length of w/12 for both triangles.

area MNI = 1/2 MN * GF = 1/2 * w/12 * 2h/5 = 2hw/120
area MNE = 1/2 MN * EF = 1/2 * w/12 * 3h/5 = 3hw/120

And their sums are 2hw/120 + 3hw/120 = 5hw/120.
And hw is the total area of EGIK which is 120. So we get:
5 * 120/120 = 5 * 1 = 5

So the area of quadrilateral EMIN is 5.

Area of EMIN = 5 The shaded quadrilateral EMIN is composed of two triangles MNI and MNE. Since the area of a triangle is 1/2bh where b is the base and h the height, the area of the quadrilateral is A = 0.5 * MN * MH + 0.5 MN * EF A = 0.5 MN (MH + EF) Now the large rectangle GIKE has an area of 12+36+24+48 = 120. We'll call the overall width "w" and the overall height "h", so wh = 120. (1) Consider that rectangle GIKE has been divided into 2 rectangles by line FJ. The area above the line is 12+36 = 48, and the area below the line is 24+48 = 72. So the ratio of their heights is 2/3. Therefore we'll call the height of the top rectangle 2h/5 and the bottom rectangle 3h/5. (2) Considering rectangles FGHM and MHIJ, their heights are the same and their areas are in the ratio 12/36=1/3. So we'll consider the width of FGHM to be w/4 and the width of MHIJ to be 3w/4. (3) Now consider rectangles EFNL and LNJK. They also share the same height, so their ratios of width is 24/48 = 1/2. So their widths will be w/3 and 2w/3 respectively. (4) This means that the line segment MN will be w/3 - w/4 = 4w/12 - 3w/12 = w/12 (See (2) and (3) above) Now taking the formula at the very beginning for the area of the quadrilateral EMIN, we have A = 0.5 MN (MH + EF) MN = w/12 ; See (4) above MH = 2h/5 ; See (1) above EF = 3h/5 ; See (1) above So A = 0.5 MN (MH + EF) A = 0.5 w/12 (2h/5 + 3h/5) A = 0.5 w/12 (5h/5) A = 0.5 w/12 h A = w/24 h A = wh/24 And since the overall area of the entire rectangle is wh = 120, we get A = wh/24 A = 120/24 A = 5 As for the actual width and height of the overall rectangle? Don't know and don't care. Any value of w and h will work as long as their product is 120. But regardless of the actual dimensions, the area of quadrilateral EMIN will be 5.

A couch and coffee table cost a total of $1017. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
cost of couch:
cost of coffee:

Answers

Answer:

Using the concept of linear equations, we made two equations. Solving those two equations, we find that the cost of couch is $678 and that of coffee is $339.

Step-by-step explanation:

Concept: Let the cost of couch be $x and that of coffee be $y. The total cost is $1017, so,

x + y = 1017

Also, the cost of couch is two times that of coffee. So,

x = 2y

Substitute the value of x in first equation

2y + y = 1017

3y = 1017

y = 339

And, x + y = 1017

x + 339 = 1017

x = 678

Using the two equations, we find that y = $339 and x = $678.

So, the cost of couch is $678 and that of coffee is $339.

For more explanation, refer the following link:

https://brainly.com/question/22052132

#SPJ10

Describe how to graph the solution of y ≤ −x² + 2x.

Answers

that's how you describe the answer of y ≤ −x² + 2x.

Graph the parabola opening down,
with the vertex at (1, 1),factor the quadratic as y < (less than or equal to) –1(x)(x – 2),find the roots of the parabola to be 0 and 2,graph the parabola with a solid boundary line,test a point that is not on the boundary,and shade inside the parabola.

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Answers

y=-3x+14 I hope this helps!

Answer:

[tex]y=-3x+14[/tex], slope intercept form

[tex]3x+y =14[/tex], standard form

Step-by-step explanation:

[tex]y + 1 = -3(x - 5)[/tex]

We need to write the given equation in slope intercept form or standard form

slope intercept form is [tex]y=mx+b[/tex]

To get slope intercept form , we need to get y alone

[tex]y + 1 = -3(x - 5)[/tex] ( multiply -3 inside the parenthesis )

[tex]y+1=-3x+15[/tex] , subtract 1 on both sides

[tex]y=-3x+14[/tex]

Standard form is [tex]Ax + By = C[/tex]

To get standard form we keep x term and y term on the left hand side

[tex]y=-3x+14[/tex]

Add 3x on both sides

[tex]3x+y =14[/tex]

Plz some one help!!!!!!!

Suppose an amount increase by 100%, then decreases by 100%. Find the final amount.Would the situation change if the original increase was 150%? Explain your reasoning.

I will give you 10 points if you help me

Answers

if it increase by 100 and decrease by 100 it would be no difference but if the initial increase was 150 there would be a remainder of 50% of the initial value

Anna has 5 muffins but 8 friends coming over. How much will each friend get

Answers

Hello! To solve this question, all we have to do is 5/8. You can basically leave it like it is, because that’s your answer. Each friend will get 5/8 of a muffin.

Please help me with this

Answers

for an isosceles right triangle the legs would be 2 times the square root of the hypotenuse

so for this:

the legs would be 2sqrt(10)

b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxes at the end of the year? Show your work.

Answers

$1,263.75 is how much would be taxed
Take 8425 multiply it by 0.15 to get your answer

Answer:

The tax would be $ 1,263.75

Step-by-step explanation:

Given,

Total earning in one year = $ 8,425,

Income tax percentage per year on earning = 15%

Hence, the amount of tax at the end of one year

= 15% of the total earnings

= 15% of 8425

[tex]=\frac{15\times 8425}{100}[/tex]

[tex]=\frac{126375}{100}[/tex]

= $ 1,263.75

A number cube is rolled 25 times. A number less than four comes up 20 times. What is the experimental probability that a number less than four is rolled?

Answers

a number less than four came up 20 out of 25 rolls

so the probability was 20/25 which reduces to 4/5

Use laws of sine to answer

Answers

By sine rule:
[tex] \frac{18}{ \sin(32) } = \frac{bc}{ \sin(118) } [/tex]
so:
[tex]bc = \frac{18 \times \sin(118) }{ \sin(32) } \\ bc = 29.991... \\ bc = 30.0 \: (to \: 3 \: sig.figs)[/tex]

I NEED HELP SOOOO MUCH IM SOOO LOST I WILL GIVE A BRAINLIEST TO THE PERSON WHO INCLUDES ALL WORK, CORRECT ANSWER,AND EVERYTHING MAKES SENSE.

(Variables on both sides of an equation)
Solve: 5(a-1)-15=3(a+2)+4

Answers

5(a-1) - 15 = 3(a+2) + 4
Open all parenthesis and distribute
5a - 5 - 15 = 3a + 6 + 4
Simplify
5a - 20 = 3a + 10
Add both sides by 20 and subtract both sides by 3a
2a = 30
a = 15

We start by using the distributive property to expand the terms [tex]5(a-1)[/tex] and [tex]3(a+2)[/tex]. When we do, we obtain [tex]5a-5[/tex] and [tex]3a+6[/tex].

Putting those back into our equation, we have:

[tex]5a-5-15=3a+6+4[/tex]

Next, we combine all of the constants on either side:

[tex]5a-20=3a+10[/tex]

Finally, we want to get the variable a by itself on one side of the equation, so we perform the following steps to isolate it:

[tex]5a=3a+30[/tex] (Add 20 to both sides)
[tex]2a=30[/tex] (Subtract 3a from both sides)
[tex]a=30/2=15[/tex] (Divide both sides by 2 to isolate a)

So, we obtain our answer of [tex]a=15[/tex].

The perimeter of a triangle is 29 feet where one side of the triangle is twice the length of the shortest side. the largest side is 13 feet more than the shortest side. how long is the shortest side

Answers

x + 2x + (13 + x) = 29
3x + x + 13 = 29
4x = 29 - 13
4x = 16
x = 16/4
x = 4

The length of the shortest side is 4 ft

Answer:

The shortest side is 4 feet.

Step-by-step explanation:

The perimeter is the border of a geometric figure and corresponds to the sum of the length of all its sides.

So the perimeter in the case of a triangle is the sum of its three sides:

L₁ + L₂ + L₃ =Perimeter

In this case, the perimeter is known and it is necessary to calculate the value of the shortest side. In that case it will be called L₁. So, you know:

L₁= shortest sideL₂=twice the length of the shortest side → L₂=2*L₁L₃=largest side (13 feet more than the shortest side) → L₃=L₁ + 13Perimeter= 29 feet

Replacing:

L₁ + 2*L₁ + L₁ + 13= 29

Solving:

(1+2+1)*L₁ + 13= 29

4*L₁ + 13=29

4*L₁ = 29-13

4*L₁ =16

L₁= 16÷4

L₁=4

The shortest side is 4 feet.

Yori has 14.25 cups of cupcake batter if each cupcake used 0.75 cup of batter how many cups cakes can yori make?

Answers

14.25 / 0.75 = 19 <=== Yori can make 19 cupcakes

First, compare the statements
0.75=1 cupcake
14.25=Y cupcakes
I represented the unknown with Y.
Next, cross and multiply. 14.25 will multiply 1 to give 14.25 and 0.75 will multiply Y to give 0.75Y. That will be;
0.75Y=14.25
Divide both sides by 0.75
Y=14.25/0.75
Y=19
She can make 19 cupcakes. Hope that helped. Have a nice day

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In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel? b/a⋅c/d=−1 b/a=c/d b/a=d/c b/a⋅d/c=−1

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In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?

b/a⋅c/d=−1

b/a=c/d

b/a=d/c

b/a⋅d/c=−1