Given m∠14+m∠3=180° .

Which lines are parallel, if any must be parallel, based on the given information?


a∥b by the converse of the same-side interior angles theorem.

c∥d by the converse of the corresponding angles theorem.

Not enough information to make a conclusion.

a∥b by the converse of the alternate interior angles theorem.

description of picture : Two nearly horizontal lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answers

Answer 1

Answer:

c∥d by the converse of the corresponding angles theorem.

Step-by-step explanation:

just took the test


Related Questions

In a quiz , team A scored 2 ,4 , -2 , 0 , -2 team B scored -4 ,2 , 2 ,-2 ,4 in successive5 rounds

.Which team scored more and by how much?

Please help​

Answers

Answer:

a. 2  b. 2

Step-by-step explanation:

3 times a number is 4 less than the square of that number. Find the negative solution.

Answers

3X=X^2-4
So X=4
Negative -4

I need helppppppppppppp please

Answers

Answer:

I want to say A)

Step-by-step explanation:

GEOMETRY - triangle similarity

Answers

Answer:

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Step-by-step explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5

Answer:

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Step-by-step explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

              16x = 72   cross multiply

                 x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

Tom has a 15 pounds bag of cat food. If he feeds his cat 1/4 pound
of food each day. How many days will the 15 pound bag of
cat food last? Show your thinking.

Answers

Answer:

it will take his cat 60 days to finish the entire bag

Step-by-step explanation:

Please help math experts thank you

Answers

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

Find the length of side x in simplest radical form with a rational denominator.
45
X
45
V8

Answers

Answer:

relationship between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=√8/x

1/√2=√8/x

x=2√2×√2=2×2=4

x=4

Which of the following correctly gives the center and radius of the circle defined by the equation (x - 7)2 + (x - 2)2 = 10? A. Center: (7, 2); Radius = 100 B. Center: (7, 2); Radius = 10 C. Center: (-7, -2); Radius = 100 D. Center: (-7, -2); Radius = 10​

Answers

Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

Find f-1(x) if f(x) = 2x/3-4

Answers

Given:

The function is:

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

To find:

The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{2x}{3}-4[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{2y}{3}-4[/tex]

Step 3: Isolate y.

[tex]x+4=\dfrac{2y}{3}[/tex]

[tex]3(x+4)=2y[/tex]

[tex]\dfrac{3x+12}{2}=y[/tex]

[tex]\dfrac{3}{2}x+6=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].

Please help quick! I’ll give brainluilyst just please help me

Answers

1. Is 2. Is multiplayer them by each other

The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

people already on the elevator with a combined weight of 428 pounds, write an inequality to express

the possible weights that may be added to the elevator,

Part A: Define your variable

Part B: Write the inequality

Part C: Describe what your inequality looks like on a number line. Be sure to include whether the

circle is open or closed and the direction the line is shaded.

Answers

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

    428 + w < 2000

C). By solving the given inequality,

    (428 + w) - 428 < 2000 - 428

    w < 1572 pounds

    Now we draw this inequality on a number line.

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

need help no bots those guys r so annoying

Answers

Answer:

AC = 16

KL = 5.625

Source(s):

Dude trust me

brainliest tho??

Step-by-step explanation:

5/KL = 12/13.5

12KL = 67.5

KL = 5.625

AC/18 = 12/13.5

13.5AC = 216

AC = 16

While mike was visiting his sister in arlington,he bought an aquarium that was marked down 60% from an original price of $100 .if the sales tax in Arlington is 5% ,what was the total cost of the arquarium?

Answers

Answer:

The cost of the aquarium was $38

Step-by-step explanation:

I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38

The total cost of the aquarium is the sum of the marked down price and

the sales tax.

The total cost of the aquarium is $42

Reasons:

The known information are;

Original price of the aquarium = $100

The marked down percentage of the aquarium = 60%

The sales tax = 5%

[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]

[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]

Which gives;

The difference in sale = $100 - Marked down price = $60

Marked down price = $100 - $60 = $40

The marked down price = $40

The tax is applied to the marked down price, therefore, we get;

Sales tax = 5% × $40 = $2

The total cost = Marked down price + Sales tax

The total cost of the aquarium = $40 + $2 = $42

Learn more here:

https://brainly.com/question/17852801

https://brainly.com/question/19091415

Of the players on a bowling team7/10 or 7 won trophies. Explain how you can find the number of players on the team.?

Answers

Answer:

10players

Step-by-step explanation:

Using the concept of probability

probability =  expected outcome/total outcome

Total outcome s the numbers of players on the team

Given

Total number of trophy won = 7 (expected)

Fraction of those that won = 7/10 (probability)

Substitute

7/10 = 7/total outcome

1/10 = 1/total outcome

Reciprocate both sides

10/1 = total outcome

Swap

Total outcome = 10

Hence the number of players on the team is 10players

which equation represents that relationship ??​

Answers

Answer:

A

Step-by-step explanation:

A proportional relationship either increases or decreases its points at the same rate. In the first set of ordered pairs, the x values all increase by 3 while the y values all increase by 6, which is twice the value of the x values' increasing. The second set of ordered pairs is not proportional because all pairs' x values increase by 2 while the y values increase by 8 until ordered pair (5, 20), so this set therefore is non-proportional. y = x + 3 is the correct equation because it represents that the y value is always 3 greater than the x value. All the shown ordered pairs for set 1 supports this (3 - 0 = 3, 6 - 3 = 3, 9 - 6 = 3, 12 - 9 = 3).

How do you break apart the factor 627 using place value?

Answers

Answer:

6 hundreds

2 tens

7 ones

Step-by-step explanation:

Un albañil construye una casa en 5 días si debe construir 3 casas cuántos días se demorará

Solve for x ax-bx/x+c = d, if a =/b+d

Answers

Answer:

dc/a-b-d

Step-by-step explanation:

ax – bx = d

x + c

Multiply both sides by x + c

ax – bx

(x + c) = d(x + c)

x + c

Simplify

ax – bx

(x+c): ax – bx

x + c

ax – bx = d(x+c)

Expand d(x+c): dx + cd

ax — bx = dx + cd

Subtract dx from both sides

ax – bx – dx = dx + cd – dx

Simplify

ax – bx – dx = cd

Factor ax – bx – dx: x(a – b – d)

x(a - b- d) = cd

Divide both sides by a – b – d; a + b + d

x(a – b - d) cd

a + b + d

a - b - d

a – b-d

Simplify

X =dc/a-b-d

The value of 'x' in the algebraic equation is  [tex]\rm x= \frac{dc}{a-b-d} \\[/tex]  where [tex]\rm a\neq b+d[/tex]

It is given that the algebraic equation  [tex]\rm \frac{ax-bx}{x+c}= d[/tex]

It is required to solve the algebraic (polynomial) equation if [tex]\rm a\neq b+d[/tex]

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an algebraic equation:

[tex]\rm \frac{ax-bx}{x+c}= d[/tex]

[tex]\rm \frac{ax-bx}{x+c}= d\\\\\rm ax-bx=d(x+c)\\\rm ax-bx=dx+dc\\\rm ax-bx-dx=dc\\\rm (a-b-d)x=dc\\\\\rm x= \frac{dc}{a-b-d} \\[/tex]

Thus, the value of 'x' in the algebraic equation is  [tex]\rm x= \frac{dc}{a-b-d} \\[/tex] where [tex]\rm a\neq b+d[/tex]

Learn more about Polynomial here:

brainly.com/question/17822016

B. Find the perimeter of the garden when the width is
8 feet.

Answers

Answer:

10 - 16

Step-by-step explanation:

need help will give brainliest

Answers

Answer:

40.56

Step-by-step explanation:

2pir

8÷2=r=4

2pi4=25.13

25.13÷2=12.565

10+10+8+12.56=40.565

The hot tub is shaped like a rectangular prism. It is 7 feet long, 3 1/4 feet deep, and has a volume of 159 1/4 cubic feet. What is the width of the hot tub?

Answers

Answer:

w = 7 feet

Step-by-step explanation:

Volume of a rectangle prism = length × width × height

Length = 7 feet

Width = ?

Height = 3 1/4 feet

Volume = 159 1/4 cubic feet

Volume of a rectangle prism = length × width × height

159 1/4 = 7 × w × 3 1/4

637/4 = 7 × w × 13/4

637/4 = 7 × 13/4 × w

637/4 = 91/4w

w = 637/4 ÷ 91/4

= 637/4 × 4/91

= 637*4 / 4*91

= 2548 / 364

w = 7 feet

which shows the solution in the inequality? -2x > 18
A. x >9
B. x<-9
C. x>-9
D.x<9
HELP PLEASE

Answers

Answer: x<-9

Step-by-step explanation:

-2x>18

-2x/(-2)<18/(-2)

x< -9

The value of the solution in the inequality is,

⇒ x < - 9

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ - 2x > 18

Now, We can simplify as;

⇒ - 2x > 18

⇒ - x > 18/2

⇒ - x > 9

⇒ x < - 9

Thus, The value of the solution in the inequality is,

⇒ x < - 9

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ2

Find the slope of a line parallel to each given line.

Answers

equation of a straight line
y = mx +c
y = y coordinate
m = gradient / slope
x = x coordinate
c = y intercept

question is asking to find slope so it will be “m”
Therefore answer

13) 2/3
14) 9/5

My grandmother’s cookie recipe uses 4 cups of sugar to make 35 cookies. My Uncle’s cookie recipe uses 3 cups of sugar to make 28 cookies. Whose cookies are sweeter?
Grandma's
Uncle's

Answers

Answer:

uncle's cookies

Step-by-step explanation:

Answer:

I think ur answer would be uncle cookies

Step-by-step explanation:

srry if wrong

hope this helps!

Can somebody plz help me out:)))

Answers

Answer:28 possibly? I know that you connect it with the angles use across from the angle I hope I helped a little

Step-by-step explanation:

Answer:

Sin 30°

= 0.5 appromaxit

Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^2-x-2=0

Answers

Given:

The quadratic equation is:

[tex]6x^2-x-2=0[/tex]

To find:

The nature of the solutions by using the discriminant.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then both roots are complex.

If D=0, then both roots are real and equal.

If D>0, then both roots are real and distinct.

We have,

[tex]6x^2-x-2=0[/tex]

Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:

[tex]D=(-1)^2-4(6)(-2)[/tex]

[tex]D=1+48[/tex]

[tex]D=49[/tex]

Since [tex]D>0[/tex], then both roots are real and distinct.

Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.

Guys pls help

4) If f(-x)=-f(x) for all x, f is an
function.
Odd Function
Even Function
Neither

Answers

Answer:

Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f   brainliest ?

What is 57.9709 divided by 3.456072

Answers

Answer: 16.77363782

Step-by-step explanation:

Can someone help me with this problem?

Answers

Answer:

a) 2

b) 3

c) 1

hope this helps :)

60 PTSA grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, 26 boxes of the cereal were sold. In the 2nd week, 58 boxes of the cereal were sold and in the 3rd week 90 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.
Show all work!
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n.

B) Use this rule to calculate how many boxes of cereal will be sold during the 9th week.

Answers

Answer:

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

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