The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Need by (at most tmrw but would love if u answered tdy!) Thanks!

Answers

Answer 1

Answer:

The measures of all eight angles formed by the parallel lines and transversal are;

The four angles for the one of the parallel line = 12°, 168°, 12°, 168°

The four angles for the other parallel line = 12°, 168°, 12°, 168°

Step-by-step explanation:

The same-side interior angle theorem states that the the sum of the same side interior angles formed by the transversal intersection of two parallel lines is equal to 180°

Whereby the ratio of the angles is 1:14, we have;

Let one of the angles = x

Therefore, the other angle = 14·x

We then have;

x  + 14·x = 180°

15·x = 180°

x = 180°/15 = 12°

∴ The other angle = 14×12 = 168°

Hence the four angles on one of the parallel lines are therefore;

12°, 168°, 12°, 168°

Similarly, the four angles on one of the other parallel line are;

12°, 168°, 12°, 168°

The measures of all eight angles formed by the parallel lines and transversal = 12°, 12°, 12°, 12°, 168°, 168°, 168°, 168°.


Related Questions

A bank is designing a new branch office and needs to determine how much driveway space to allow for cars waiting for drive-up teller service. The drive-up service will have three tellers and a single waiting line. At another branch of the bank in a similar setting, the average service time for drive-up tellers is four minutes per customer, and average arrival rate is 36 customers per hour. It is expected that the new bank will have similar characteristics.

How many spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars?

A,10

B.11

C.12

D.13

E.14

Answers

I think it’s D I’m pretty sure

The directed line segment from L to M has endpoints L(-6,2) and N(5,-3) what are the c and y coordinates of point M which partitions the directed line segment into the ratio 2:5

Answers

Answer:

[tex](-\frac{20}{7},\frac{4}{7})[/tex]

Step-by-step explanation:

Given question is incomplete; here is the complete question.

The directed line segment from L to N has endpoints L(-6,2) and N(5,-3) what are the c and y coordinates of point M which partitions the directed line segment into the ratio 2:5 ?

Segment LM has the endpoints L(-6, 2) and M(5, -3).

A point M which has the coordinates (x, y) divides the segment LM in the ratio of m : n.

Then the coordinates of point M will be,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

and y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

If the given ratio m:n = 2:5

x = [tex]\frac{2(5)+5(-6)}{2+5}[/tex]

  = [tex]\frac{10-30}{2+5}[/tex]

  = -[tex]\frac{20}{7}[/tex]

y = [tex]\frac{2(-3)+5(2)}{2+5}[/tex]

  = [tex]\frac{4}{7}[/tex]

Therefore, coordinates of point M will be [tex](-\frac{20}{7},\frac{4}{7})[/tex]

Answer:

ANSWER

x = - 20}{7}

y={ 4}{7}

Step-by-step explanation:

please I need help
what is the value of x?
a.3√2 b.24 c.12√2 d.8
what is the value of y?
a.4√3 b.√3 c.12 d.10
what is the value of z?
a.12-4√3 b.12 c.6 d.15

Answers

Answer:

x: C

y: A

z:

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is larger than either of the legs by a factor of [tex]\sqrt{2}[/tex]. The length of x is therefore:

[tex]12\cdot \sqrt{2}=12\sqrt{2}[/tex]

In a 30-60-90 triangle, the longer leg is larger than the shorter leg by a factor of [tex]\sqrt{3}[/tex]. Therefore:

[tex]y=\dfrac{12}{\sqrt{3}}=\dfrac{12\sqrt{3}}{3}=4\sqrt{3}[/tex]

The hypotenuse of the 30-60-90 triangle is twice larger than the smallest leg, so it has a length of [tex]8\sqrt{3}[/tex].

By the pythagorean theorem, you can find z+y:

[tex]z+y=\sqrt{(12\sqrt{2})^2-12^2}=\sqrt{288-144}=12\\\\4\sqrt{3}+z=12 \\\\z=12-4\sqrt{3}[/tex]

Hope this helps!

Can anybody help me with this and show work ?? :)

Answers

Answer: C.

Step-by-step explanation:

If ABCD gets rotated 180ᴼ, you will be able to see the reflection of ABCD to A’B’C’D’. Then just reflect across the x-axis (horizontal) to transform ABCD onto A’B’C’D’.

How do you tell the difference between a inclusive data set probability and a exclusive data set probability?

Answers

Answer:

2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

Step-by-step explanation:

The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?

Answers

Answer:

-3/2

Step-by-step explanation:

With perpendicular lines, the slope switches to its reciprocal and and positive/negative sign switches, i.e, the 2/3 will switch to 3/2 and since the original is positive, the new slope will be negative

Answer:

Slope is -3/2

Step-by-step explanation:

The slope of line that is perpendicular to the line should have a slope that is a negative reciprocal of this slope and multiplying both slopes give us -1

=> The slope of this line is 2/3

=> The slope of line perpendicular to it would be -3/2

Multiplying the two slopes:

=> (2/3)*(-3/2)

=> -1

There are 59 chips numbered from 1 to 59 placed in a barrel. One chip is randomly pulled from the barrel. What is the probability that the number on the chip is greater than or equal to 44? A. 16/17 B. 43/59 C. 43/44 D. 16/59

Answers

Answer:

D

Step-by-step explanation:

59 - 44 + 1 = 16.

16/59

Please mark as brainliest!

Answer:

D

Step-by-step explanation:

count 44,45,46... , then count how many numbers you counted

A particular train is 25 ft tall. A model of
it was built with a scale of 4 in : 5ft. How tall
is the model?

Answers

Answer:

20 inches tall.

Step-by-step explanation:

To figure this out, you only need basic multiplication/division. First, you want to divide the 25 feet by 5. This gives you five, so you will need five sets of 4 inches. Multiply the 4 inches by 5 and you get 20.

Answer:

20

Step-by-step explanation:

4x5=20 thats how i got my answer

Priscilla wants to replace the brick border around her rectangular swimming pool. The area of the pool is 3x^2 + 5x − 2. The total area of the brick and pool is 6x^2 − 21. How many square feet of brick does Priscilla need? (polynomials)

Answers

Answer:

[tex](3x^2-5x-19)$ Square feet of brick[/tex]

Step-by-step explanation:

[tex]\text{The total area of the brick and pool }=6x^2 - 21\\\text{The area of the pool }= 3x^2 + 5x - 2. \\[/tex]

The total area of the brick and pool =Area of the Brick + Area of the Pool

Therefore:

Area of the Brick=Total area of the brick and pool-Area of the Pool

[tex]=(6x^2 - 21)-(3x^2 + 5x - 2)\\=6x^2-21-3x^2-5x+2\\$Collect like terms\\=6x^2-3x^2-5x-21+2\\$Simplify\\=(3x^2-5x-19)$ Square feet[/tex]

Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3

Answers

Answer:

Option (1)

Step-by-step explanation:

Given linear inequalities in the graph are,

[tex]y\geq -\frac{1}{3}x+2[/tex]

y < 2x + 3

Here shaded area above the solid line represents the inequality,

[tex]y\geq -\frac{1}{3}x+2[/tex]

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.

Please help me I keep getting long and I do not know what I’m doing

Answers

Answer:

-2

Step-by-step explanation:

Trial and error with multiples of 5.

The first one Tried was 15 and

I got kJ and kl= 15. But that’s not right as they are equal now.

Note that the numbers we are trying are the difference between j and k and not where k is,yet

So, I tried 25

K = -27 + 25 = -2

K from l = 3-5(because ratio was five to one) =-2

Hope this helps

2 times y added to 3

Answers

2*y+3 this is the equation

Graph ​y=−4/7x+1​. do this math

Answers

Answer:

Use demos or a graphing calc.

Step-by-step explanation:

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: −4/7

y-intercept: 1

Convert 100 days to weeks and days

Answers

Answer:

14 weeks and 2 days.

Step-by-step explanation:

Divide 100 days by 7, because there are 7 days in 1 week.

100/7 = 14.2857

0.285714 = 2/7

The answer is 14 weeks and 2 days.

Answer:

there are 100 days

there are 7 days in a week so we divide the days by 7

100days/7days

14.2weeks≈14 weeks are there in 100days

Step-by-step explanation:

i hope this will help you :)

What is the approximate area of a circle show below?

Answers

Answer:

b) 2827

Step-by-step explanation:

Pi*30(squared)=2827m

What is the slope of the line described by the data in the table below? x 0 1 2 3 y 2 4 6 8

Answers

Answer:

The slope of the line is 2.

Step-by-step explanation:

The data provided is as follows:

x : 0   1    2    3

y : 2   4   6    8

The formula to compute the slope of a line is:

[tex]\text{Slope} &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}[/tex]

Compute the required values in Excel as shown below.

Compute the value of slope as follows:

[tex]b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= \frac{ 4 \cdot 40 - 6 \cdot 20 }{ 4 \cdot 14 - \left( 6 \right)^2} \\\\= 2\end{aligned}[/tex]

Thus, the slope of the line is 2.

help me, please asap

Answers

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

please help me w dis asap!!!

Answers

Answer & Step-by-step explanation:

In order to solve this problem, it's important that we look at the tiles and the the signs that are in front of them. The top row of tiles represents our first expression and the bottom row of tiles represents our second equation.

The two large tiles are positive so they are going to be positive in our equation.

(x²     ) - (-x²     )

The four blue rectangle tiles are also positive, so they are going to be positive in our equation. The two red rectangle tiles are negative, so they are going to be negative in out equation.

(x² + 4x) - (-x² + 2x)

The two red square tiles are negative, so they are going to be negative in our equation. The four blue square tiles are positive, so they are going to be positive in our equation.

(x² + 4x - 2) - (-x² + 2x - 4)

So, your answer is going to be letter choice C.

$3000 is deposited in an account
that pays 5% interest,
compounded quarterly, for 10
years. How much more would be
in the account if the interest were
compounded continuously rather
than quarterly?

Answers

Answer:

  $15.30

Step-by-step explanation:

The formula for the account balance with continuous compounding is ...

  A = Pe^(rt)

For the given values, this is ...

  A = $3000·e^(0.05·10)

  A ≈ $4946.16 . . . . balance with continuous compounding

__

The amount with quarterly compounding is ...

  A = P(1 +r/n)^(nt)

  A = $3000(1 +.05/4)^(4·10)

  A ≈ $4930.86 . . . . balance with quarterly compounding

__

The difference is ...

  $4946.16 -4930.86 = $15.30

The continuously compounded account would earn $15.30 more in 10 years.

Which of the following lists of ordered pairs is a function?

Answers

Answer:

B

Step-by-step explanation:

a function is a relation from a set of inputs (X) to a set of possible outputs where each input is related to exactly one output (Y). Only option B satisfies this definition

Can someone help me im kinda dumb :/

Answers

Answer:

9. a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. aₙ = 2 (-3)ⁿ⁻¹

Step-by-step explanation:

9. aₙ = 13 (-2)ⁿ⁻¹

This is a geometric sequence where the first term is 13 and the common ratio is -2.

So the recursive formula is:

a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. a₁ = 2, aₙ = aₙ₋₁ × (-3)

This is a geometric sequence where the first term is 2 and the common ratio is -3.

So the explicit formula is:

aₙ = 2 (-3)ⁿ⁻¹

To solve the equation below, you need to divide by what number?
16x= 96

Answers

Answer:

Divide by 16 on both sides

Step-by-step explanation:

Answer:

You need to divide both sides by 16. Hope this helps! ❤️

Simplify
(y + 1)
(y + 1)

Answers

Answer:

That is already at its simplest form.

Step-by-step explanation:

(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for x.

the total surface area of this cuboid is 112cm squared. find the value of x. 10cm and 2cm

Answers

Answer:

x = 3

Step-by-step explanation:

12 x 2 x 2 = 40

12 x [tex]x^[/tex] (3) x 2 = 60

2 x [tex]x^[/tex] (3) x 2 = 12

Total = 112

PLEASEEEE.. MY TEACHER IS ASKING FOR THE ANSWER ​

Answers

See attached graph: v is on the y-axis and t is on the x-axis

a) y = 8x

What happens to the value of y if the value of x triples?

Select your answer.

x 8

x 3

+ 3

+ 8

A

B

C

D

8

b) y= x

What happens to the value of y if the value of x doubles?

Select your answer.

x2

x4

- 2

4

A

B

C

D

Answers

Answer:

So when we triple the value of "x" in that expression we also triple the value of "y". The corrrect answer is "x 3".

Step-by-step explanation:

For a given "x", y follows the expression: [tex]y = 8*x[/tex]. We have a new input to the function, which we will call "a", we know that this value is 3 times the value of the prior "x", so we can calculate what will happen to "y" as shown below:

[tex]y_1 = 8*x[/tex]

For when the input is "a":

[tex]y_2 = 8*a[/tex]

We know that "a" is 3 times x, therefore:

[tex]y_2 = 8*(3*x)[/tex]

Due to the associative property of the product we can rewrite the above expression as:

[tex]y_2 = 3*(8*x)[/tex]

Since "8*x" is the same as the prior "y", then we have:

[tex]y_2 = 3*y_1[/tex]

So when we triple the value of "x" in that expression we also triple the value of "y". The corrrect answer is "x 3".

The ratio of the length to the breadth to the length of a tin is 5:4:3. The bottom area of the tin is 80 square inches. What is the volume of the tin

Answers

Answer:

480 Cubic inches

Step-by-step explanation:

Length:Breadth:Height = 5:4:3.

Let the Length of the Tin =5x

Breadth of the Tin =4x

Since the bottom area of the tin is 80 square inches.

[tex]5x \times 4x=80\\20x^2=80\\x^2=4\\x=2[/tex]

Therefore:

Length of the Tin =5 X 2 =10 inches

Breadth of the Tin =4 X 2 =8 Inches

Height of the Tin =3 X 2=6 Inches

Volume of the Tin = Length X Breadth X Height

=10 X 8 X 6

=480 Cubic inches

WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...

Answers

Answer:

-450

Step-by-step explanation:

Say the first number is x to get the idea.

The first 150 terms are 150x - 5 * 150

15x - 750

300 - 750 = -450

Mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away. The
equation d - 100 - 50t gives the distance d (in miles) that he has left to travel as a function of the time t (in hours) that h
been driving. Write and interpret the inverse of this function (2 points per part).

Answers

Answer:

[tex]d=2-\dfrac{t}{50}[/tex].

Initial distance is 2 miles and the average speed is [tex]\dfrac{1}{50}[/tex] miles per hour. So, d is distance in miles that he has left to travel as a function of the time t (in hours).

Step-by-step explanation:

It is given that, mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away.

The equation of distance is

[tex]d=100-50t[/tex]     ...(1)

where, d is distance in miles that he has left to travel as a function of the time t (in hours).

We need to find the inverse of the above function.

To find the inverse, interchange variables in (1) and isolate variable d on one side.

[tex]t=100-50d[/tex]

Subtract 100 from both sides in equation (1).

[tex]t-100=-50d[/tex]

Divide both sides by -50.

[tex]\dfrac{t-100}{-50}=\dfrac{-50d}{-50}[/tex]

[tex]\dfrac{t}{-50}+2=d[/tex]

[tex]2-\dfrac{t}{50}=d[/tex]

So, the inverse function is [tex]d=2-\dfrac{t}{50}[/tex].

Here, the initial distance is 2 miles and the average speed is [tex]\dfrac{1}{50}[/tex] miles per hour. So, d is distance in miles that he has left to travel as a function of the time t (in hours).

Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet

Answers

Answer:

4 feet

Step-by-step explanation:

Use pythagorean theorem to solve the center height of Sam’s tent.

The center height of the triangle or Sam's tent is given by AB = 4 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 3 feet

The hypotenuse of the triangle is AC = 5 feet

And , the triangles share a common height

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the height of the triangle AB = √ ( AC )² - ( BC )²

On simplifying , we get

The height of the triangle AB = √ ( 25 ) - ( 9 )

The height of the triangle AB = √16

The height of the triangle AB = 4 feet

Hence , the height of the triangle is 4 feet

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

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