1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
igomit [66]
3 years ago
5

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. Th

e parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?


They are same-side interior angles, so angle 3 measures 50°.

They are alternate interior angles, so angle 3 also measures 130°.

They are corresponding angles, so angle 3 also measures 130°.

They are alternate exterior angles, so angle 3 measures 50°.

Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

<h2>They are alternate interior angles, so angle 3 also measures 130°.</h2>

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

You might be interested in
Please need help evaluate the math problems
alina1380 [7]

x + y when x = 6 and y = 2

6 + 2 = 8

\frac{9x+24}{4} when x = 12 and y = 20

\frac{148}{4} = 37

\frac{6m}{n} when m = 12 and n = 3

\frac{72}{3} = 24

Six times x

6x

Six increased by x

6 + x

The sum of x and y

x + y

6 0
3 years ago
To find the percent of the yellow tint in the new mixture?
Ivanshal [37]
1)We need to know the amount of yellow tint in the old mixture.

amount of yellow tint=30% of 40 liters
30%=30/100=0.3

Amount of yellow tint=0.3(40 liters)=12 liters.

2)We need to find the amount of yellow tint in the new mixture.

amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.

3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters

4) we compute the percent of yellow tint in the new mixture:

percent of yellow tint =(amount of yellow tint / amount of mixture)*100

percent of yellow tint=(21 liters / 49 liters)100≈42.9%

Answer: The percent of yellow tint in the new mixture is 42.9%. 

note: if this answer is not correct you can try it  with 42.8%
6 0
3 years ago
What is the coordinates of the center of an ellipse defined by the equation 16x^2 + 25y^2 + 160x - 200y + 400 = 0 ? Please give
pickupchik [31]

16x^2 + 25y^2 + 160x - 200y + 400 = 0     Rearrange and regroup.

(16x^2 + 160x) + (25y^2 - 200y ) = 0-400.     Group the xs together and the ys together.

16(X^2 + 10x) + 25(y^2-8y) = -400.     Factorising.

We are going to use completing the square method.

Coefficient of x in the first expression = 10.

Half of it = 1/2 * 10 = 5. (Note this value)

Square it = 5^2  = 25.     (Note this value)


Coefficient of y in the second expression = -8.

Half of it = 1/2 * -8 = -4. (Note this value)

Square it = (-4)^2  = 16. (Note this value)


We are going to carry out a manipulation of completing the square with the values

25 and 16.  By adding and substracting it.


16(X^2 + 10x) + 25(y^2-8y) = -400

16(X^2 + 10x + 25 -25) + 25(y^2-8y + 16 -16) = -400

Note that +25 - 25 = 0.    +16 -16 = 0. So the equation is not altered.

16(X^2 + 10x + 25) -16(25) + 25(y^2-8y + 16) -25(16) = -400


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = -400 +16(25) + 25(16)    Transferring the terms -16(25) and -25(16)

to other side of equation.  And 16*25 = 400


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = 25(16)


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = 400

We now complete the square by using the value when coefficient was halved.


16(x-5)^2 + 25(y-4)^2  = 400

Divide both sides of the equation by 400


(16(x-5)^2)/400 + (25(y-4)^2)/400  = 400/400              Note also that, 16*25 = 400.


((x-5)^2)/25 + ((y-4)^2)/16  = 1

((x-5)^2)/(5^2) + ((y-4)^2)/(4^2)  = 1


Comparing to the general format of an ellipse.

((x-h)^2)/(a^2) + ((y-k)^2)/(b^2)  = 1


Coordinates of the center = (h,k).

Comparing   with above   (x-5) = (x - h) , h = 5.

Comparing   with above   (y-k) = (y - k) , k = 4.

Therefore center = (h,k) = (5,4).

Sorry the answer came a little late.  Cheers.

3 0
3 years ago
18 is 75 percent of what number
dimulka [17.4K]
18 is 75% of x.

75\%= \frac{75}{100}=\frac{3 \times 25}{4 \times 25}=\frac{3}{4} \\ \\&#10;\frac{3}{4}x=18 \\&#10;x=18 \times \frac{4}{3} \\&#10;x=6 \times 4\\&#10;x=24&#10;

18 is 75% of 24.
8 0
3 years ago
Find the slope of the line given the pair of points.<br> (-2,-2), (-6,5)
Vedmedyk [2.9K]
Answer:

7
— or -1.75
-4

Explanation:

Let’s do the y2-y1/x2-x1 strategy! The equation will be 5+2/-6+2. To simplify, it will be 7/-4. So -1.75 or 7/-4 should be the slope. SCan you make me brainliest? Thank you if you do. Have a good day!
6 0
3 years ago
Other questions:
  • Find the scale factor please.
    15·1 answer
  • A certain spinner has equally sized slices. The probability of landing on a red slice is
    11·1 answer
  • PLZ HELP !!!! Only do B) and C)
    15·1 answer
  • Factor a 3 - 3 + 3a 2 - a.
    9·2 answers
  • Evaluate the following expression. 7^0
    13·1 answer
  • A particle traveled the distance of 6.6×<img src="https://tex.z-dn.net/?f=10%5E%7B-19%7D" id="TexFormula1" title="10^{-19}" alt=
    15·2 answers
  • Help a girl out ? <br> i linked the attachment .Thank you smmm have a great day.
    7·1 answer
  • Geometry geometry geometry help help
    13·2 answers
  • the ratio of the circumfrence of two circles is 3/2 the radius of the smaller circle is 8 inches what is the radius of the large
    14·1 answer
  • An account is opened with an initial balance of $950 and a simple annual interest rate of 1.6%. What is the balance after 5 year
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!