Which lines are parallel? Why?
A) a || b by same side interior angles
B) c || d by same side interior angles
C) c || d by converse of corresponding angles
D) a || b by converse of same side interior angles
E) a || b by converse of corresponding angles
F) a || b by corresponding angles
G) c || d by converse of same side interior angles
H) c || d corresponding angles

Answers

Answer 1

9514 1404 393

Answer:

C) c || d by converse of corresponding angles

Step-by-step explanation:

Only corresponding angles where transversal b crosses lines c and d are shown. All answer choices involving a||b or interior angles can be eliminated from consideration.

The "corresponding angle" theorem tells you corresponding angles are congruent if the lines are parallel.

The converse of that theorem tells you the lines are parallel if the corresponding angles are congruent. Here, the angles are shown congruent, so the "converse" theorem applies.

Related Questions

A car is being compacted into a rectangular solid. The volume is decreasing at a rate of 2 m3/sec. The length and width of the compactor are square, but the height is not the same length as the length and width. If the length and width walls move toward each other at a rate of 0.25 m/ sec, find the rate at which the height is changing when the length and width are 2 m and the height is 1.5 m.

Answers

Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.

The volume of a rectangular solid of length l, width w and height h is given by:

[tex]V = lwh[/tex]

Applying implicit differentiation, the rate of change of the volume is given by:

[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]

In this problem:

Volume is decreasing at a rate of 2 m3/sec, hence [tex]\frac{dV}{dt} = -2[/tex]The length and width walls move toward each other at a rate of 0.25 m/ sec, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0.25[/tex]Length and width are 2 m and the height is 1.5 m, hence [tex]l = w = 2, h = 1.5[/tex]

Then:

[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]

[tex]-2 = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}[/tex]

[tex]4\frac{dh}{dt} = -3.5[/tex]

[tex]\frac{dh}{dt} = -\frac{3.5}{4}[/tex]

[tex]\frac{dh}{dt} = -0.875[/tex]

The height is changing at a rate of -0.875 m/sec.

A similar problem is given at https://brainly.com/question/9543179

You are given the first four terms of an arithmetic sequence. Under what
conditions might a recursive formula be preferred over the explicit formula?
Under what conditions might an explicit formula be preferred over the
recursive formula?

Answers

If you need to know the 7th, 8th, and 9th terms, the recursive form might be preferred as you need to apply the common difference successively to the next few terms. If you want to know terms, such as those beyond 100,
then the explicit would be preferred

pls help me!!!!!!!!!!!!!!!!

Answers

Answer:

4 for the first one, 1 for the second one

Step-by-step explanation:

What are the odds of not rolling a three on a standard six-sided die?

Answers

Answer:

5/6

Step-by-step explanation:

Hope this is helpful

Answer:

5/6

Step-by-step explanation:

I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!

Answers

Answer:

I understand how that feels

Step-by-step explanation:

A bakery sells 1/2 dozen cookies for $6.48. At this rate, how much would it cost for 3 dozen cookies?

Answers

It would cost $38.88 for three dozen cookies

$38.88 is definitely the answer facts I had that problem too myself

A table is on sale for 32% off. The sale price is $459.
What is the regular price?

Answers

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]

$675 is the regular price. $459 is 68% of the original price. (100-32=68). To find the original price you would do 459 divided by 0.68 and would get 675. To check that you would do 675 times 0.68 and would get 459. I hope this helps

solve please: 1/4x-5+1.2x

Answers

Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

Help me plz I really need help

Answers

Answer:

it won't let me message back.

Step-by-step explanation:

help me with this i dont understand

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides.

Take the base of both quadrilaterals.

Large quadrilateral:

6 - (-6) = 12

Small quadrilateral:

2 - (-2) = 4

Scale factor:

k = 12/4 = 3

pls help me I will try to give brainleist bc i don't know how

Answers

Answer:

2195

Step-by-step explanation:

filler filler filler lol

Answer: 2,195

Step-by-step explanation:

439x5

9x5=45

3x5+4=19

4x5+1=21

2195

Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8

Answers

Answer
Y=x+8
Explanation
Y=mx+b

Answer:

Y=x+8

Step-by-step explanation:

Simplify the following expression.

(42x + 59y) + (-14x + 35y)
A.
28x + 94y
B.
56x + 94y
C.
56x + 24y
D.
28x + 24y

Answers

Answer:

A. 28x + 94y

Step-by-step explanation:

First, line up the like terms as if you were adding vertically, and combine them.

(42x + 59y)

+ (-14x + 35y)

(28x + 94y)

Hope this helps :)

2x - 5y = 6 and -2x + 7y = 14

*Using elimination*

Answers

2x-5y+ (-2x) + 7y= 6+14
2y = 20
y= 10
2x-5(10)=6
2x= 56
x= 28

here is the ans.hope this helps!

60% of students at a local high school participate in club activities. Rewrite this percent as a fraction

Answers

Answer:

The correct answer is 3/5

Step-by-step explanation:

I know its correct :)

Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5

Answers

The answer should be A or D

Please help and only answer if correct!

Answers

Answer: So last time it was 1/4 and 4 so it's no different it just going down by one so it's 1/3 and 3 if it's not I give up.

Step-by-step explanation:

Find an expression that gives you a quotient
of 16

Answers

Answer: Does 32/2 work it equals 16

Step-by-step explanation:

The number expression would be 32/2 which gives 16 after applying the arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The quotient is 16

Let us assume 32 and 2 are the numbers that can be use in the number expression

The number expression is:

= 32/2

= 16

Thus, the number expression would be 32/2 which gives 16 after applying the arithmetic operation.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

A motorboat is capable of traveling at a speed of 14 miles per hour in still water. On a particular day, it took 15 minutes longer to travel a distance of 12 miles
upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that day?

Answers

By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.

When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.

So upstream the speed is:

(14 mi/h - S)

Downstream the speed is:

(14 mi/h + S)

Where S is the rate of current in the stream.

We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = (12 mi)/(14 mi/h + S)

Replacing that in the other equation we will get:

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).

(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Also notice that the speeds are in hours, so we can rewrite:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi^2/h - 12mi*S + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S

- 12mi*S + 49mi^2/h - 0.25h*S^2 = 12mi*S

-24mi*S - 0.25h*S^2 + 49mi^2/h = 0

This is a quadratic equation, the solutions are:

[tex]S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)} }{2*-0.25h} \\\\S = \frac{24mi \pm 25 mi }{-0.5h}[/tex]

We only take the positive solution, so we get:

S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h

The rate of current in the stream is 2 mi/h.

If you want to learn more, you can read:

https://brainly.com/question/24345308

Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
A)
x + 7 = 11
B)
X-7 = 11
9
C)
x + 7 = -11
D)
X - 7 = -1

Answers

Answer:

The number of miles Jill ran is the number of miles Sue ran (11) minus the number of miles Sue ran more than Jill (7).

So far, x=11-7.

Reorder the equation. Add 7 to both sides.

x + 7 = 11.

So, the correct equation is A.

A) x + 7 = 11

Jill runs x amount of miles and Sue runs x miles plus 7 miles.

The price of a gallon of milk increased from $5.50 to $7.50. Describe the price increase as a percent.

Answers

Step-by-step explanation:

7.50= (1 + x/100 ) × 5.50

7.50/ 5.50 = 1+x/100

x/100 = 0.36

x= 36.36%

3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?

Answers

$81.84 divided by 12 weeks = $6.82 per week

Answer:

Hi!

12x = 81.84

x = 6.82

6.82 dollars every week

The original price of a dress is 95.00. A discount of 10% is offered for cash payment. How much does one save by paying cash for the dress?

Answers

Answer:

10% of 95 is 9.5

So 95 - 9.5 = 85.5

two numbers are in the ratio 7:9. The smaller number is 42. what is the number?

Answers

42 = 7*6

so,

7:9 = 7*6 : 9*6 = 42:54

Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?

Answers

Answer:

Step-by-step explanation:

find the amount accumulated in an account after $9000 is invested for 8 years at a 4% coumpounded monthly

Answers

Step-by-step explanation:

9000(1+0.04/12)^(8*12)

9000(1.0033333)^96

9000(1.3763)

A=12,387.56

Please take a look at the picture

Answers

Answer:

x=-22.42

Step-by-step explanation:

-18.43=3.99+x

Move the variable to the left-hand side and move the constant to the right. Change their signs.

-x=3.99+18.43

Add.

-x=22.42

Change the signs on both sides of the equation.

x=-22.42

Hope this helps :)

find the area of a circle when the radius is 10cm. Take the value of pi as 3.14

Answers

Answer:

314.16 cm squared

Step-by-step explanation:

what is 351.86 in terms of pi?

Answers

Answer:

It can either be 17593pi/9000 rad or if youre looking for a decimal answer is it 1.95pi and rad=6.14

Step-by-step explanation:

Evaluate 12.3v+11.9w when v=7 and w=8.

please

Answers

Answer:

181.3

Step-by-step explanation:

I hope this helps!

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