Mathematics High School

Nes and m are intersected by transversal t. ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. Select all the angles that are supplementary to ∠4.

Answers

Answer 1

Answer:

The supplementary angles to ∠4 are;

∠3, ∠2, ∠7, ∠6, and ∠5

Step-by-step explanation:

The given information are;

The angular orientation of lines l and m = horizontal lines

Therefore l and m are parallel lines

The transversal line to lines l and m = Line t

Therefore, we have;

Angles between line t and line l = 1, 2, 3, and 4

The order of arrangement of the angles between line t and line l are from top left in a clockwise order;

1, 3, 4, and 2

Similarly, the order of arrangement of the the angles between the transversal t and the line m are from top left in a clockwise order;

5, 7, 8, and 6

Therefore, we have;

The supplementary angles to ∠4 are;

∠3, ∠2, ∠7, ∠6, and ∠5

∠3 and ∠4, ∠4, and ∠2, angles on a straight line between lines l and t

∠4 and ∠7 are opposite interior angles (Opposite interior angles are supplementary)

∠7 ≅ ∠6, ∠7 and ∠6 are alternate angles (

∠7 = ∠6 Definition of congruency

∴ ∠4 and ∠6 are supplementary (Transitive property)

∠4 and ∠5 are alternate interior angles (Alternate interior angles are supplementary).

Nes And M Are Intersected By Transversal T. M. Lines L And M Are Horizontal With L Above M And Intersected

Related Questions

Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...

Answers

Answer: C) 127, 152.4, 182.88, 219.456,...

Step-by-step explanation:

You can only find the sum of an infinite geometric sequence if it converges.

One criterion to see if the series converges is if:

aₙ < aₙ₋₁

This means that, as n increases, the value of the terms decreases.

This means that as n tends to infinity, aₙ tends to zero.

Then we only can find the sum of those series where the terms are decreasing.

in A, B and D the terms are decreasing, then we can find the sum of those 3 series.

Now in the case of C, the terms are increasing, then we can not find the sum of that series.

State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *

Answers

Answer:

range { -4,-3,-2,0}

Step-by-step explanation:

The range is the output values

range { -4,-3,-2,0}

Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?

Answers

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

Answer:

5 weeks

Step-by-step explanation:

i took 80 - 35 to get 45 (money she still needs)

then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)

and if you get 10 dollars per week and its asking how many weeks

you have to up the 4 by one because it has a .5

so it would be 5 weeks

please help me solve this!!
5x = 3y + 18
3x + 5y = 4

Answers

Answer:

Slope=

2.000

1.200

=0.600

x−intercept=

=1.33333

y−intercept=

−5

=−0.80000

thats the first one

Step-by-step explanation:

this is a system of equations.

eliminating method:

1) move the 3y to the other side so it looks like the second equation.

5x - 3y = 18
3x + 5y = 4

2) multiply both of the equations by a number to make the equations eliminate one of the variables.

5(5x - 3y = 18) —> 25x - 15y = 90

3(3x + 5y = 4) —> 9x + 15y = 12

3) subtract the two equations (the y’s crossed out) and solve for x:

16x = 78
16x/16 = 78/16
x = 4.875 ≈ 4.9 ≈ 5

4) plug x into one of the two equations (preferably the easier one) to solve for y:

5(4.875) - 3y = 4
24.375 - 3y = 4
-3y = -20.375
-3y/3 = -20.375/-3
y = 6.791667 ≈ 6.8 ≈ 7

answers: x = 4.9 / y = 6.8

Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?

Answers

Answer:

Cindy get (12-c) amount while others get 12 cookies

Step-by-step explanation:

From the question we are informed that Grandma baked 96 cookies

And there are 8 Number of grandchildren available

But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,

= 96 cookies baked/8 Number of grandchildren available

= 12 cookies

Which means each get 12 cookies

But

Cindy received less cookies with less C amount.

Then Cindy own will be( 12-c) cookies

Therefore Cindy get (12-c) amount while others get 12 cookies

Answer:

12-c

Step-by-step explanation:

Khan academy unit test, 7th grade math.

write an inequality for the following statement :

c is less than 1

Answers

Answer:

c < 1

Step-by-step explanation:

less than is <

c < 1

help pls ?? it’s confusing

Answers

Answer:

2x+24+4x+36=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

So <KPL=64 AND <JPL=116

Answer:

KPL = 64 JPL = 116

Step-by-step explanation:

This is a straight angle, meaning this angle will equal 180 degrees.

They give you two parts of this angle, which is (2x+24) and (4x+36)

All you have to do is add them and set this equal to 180.

So when you add 2x+24+4x+36=180 that equals 6x+60=180

Do the algebra, subtract 60 on both sides.

180-60=120

Now divide 6 on both sides.

120/6 = 20

Great, so now solved x. To find the angles, we must plug them in.

2(20)+24= 64

4(20)+36= 116

So your answer should be

KPL = 64 and JPL = 116.

This is correct because when you add these results together, you get 180.

Gayle is saving money to buy a
camera that costs $315. She has
$40 saved, and each week she adds
$25 to her savings. How many
weeks will it take Gayle to save
enough money to buy the camera?

Answers

It will take Gayle 11 weeks

-3(x+n)=x
Rewrite each equation to solve for x

Answers

Answer:

isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.

Slope :3 y-intercept :1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = mx + b

The slope, or m, is 3.

The y-intercept, or y, is 1.

Plug them into the equation.

y = mx + b

y = 3x + 1

I believe the answer is Y=3x+1

volume = length × width × height

30 = 2 × 3 × h

30 = 6h

5=h

It is 5 cm high

Hope it helps you

Regards,

Rachana

PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6

Answers

Answer:

D. 6

Step-by-step explanation:

Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6

I hope this helps!

A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75

Answers

Answer:

A ) $1.75 x ≤ $25

Step-by-step explanation:

the cost of x boxes of crayons = 1.75x dollars

If there is a budget of only $ 25,

So, the cost of x boxes of crayons ≤ $25

Answer:

Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.

Sylvia wants to save up $1375 to go on vacation to the beach and amusement parks. She saves $55 each week and now has $165 saved. How many more weeks will Sylvia need to save money for her trip?

Answers

Answer:

Step-by-step explanation:

55x + 165 = 1375

so just add 55 till you get there

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

The x intercept is 1 and the y intercept is -2. Hope this helps. The X axis is the horizontal line whilst the y axis is the vertical line.

The required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

What is an intercept of a line?

The intercept of the line is defined as points where the line intersects the principle axes.

Here,
The x-intercept and y-intercept of the line are defined as the points where the given line cuts the coordinate axes.
So, from the above definition, the line intersects the x-axis at +1 and intersects the y-axis at -2.

Thus, the required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

Learn more about intercept here:
https://brainly.com/question/14180189
#SPJ2

Multiply. Write your answer as a fraction in simplest form. 2/3 x 6/5

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 6 12

_ x _ = _

3 5 15

Simplest form is 4/5

dividing a faction by a fraction 3/5 divided 1/3

Answers

(3/5) / (1/3) = 3*3/5*1 = 9/5 or 1 4/5

Answer:

9/5

Step-by-step explanation:

3/5 ÷ 1/3

3/5 ÷ 3/13/5 × 3/1 = 9/5

9/5

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Answer:

y=4, y =16, x=10, x=15

Step-by-step explanation:

Plug the x values in the x place and then solve from there and for y values plug em in and easy answer

Calculate the median of the following set of numbers.

19, 22, 75, 37, 37, 27, 32, 15, 10

Answers

Answer:

Step-by-step explanation:

10,15,19,22,27,32,37,37,75

Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)

Answers

Answer:

Step-by-step explanation:

Given coordinates:

(-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

(-1,0) and (5, -8)

The equation for solving this problem is shown below;

Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]

x₁ = -1 y₁ = 0

x₂ = 5 y₂ = -8

Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10

The distance between the two points is 10.

what is binomil (2a–1)(a–3)

Answers

Answer:

[tex]2a^2-5a+3[/tex]

Step-by-step explanation:

2a(a-3)-1(a-3)=

2a^2-6a-a+3=

2a^2-5a+3

Answer:

Step-by-step explanation:

7+root 3 divided by 7-root 3

Answers

7 + root3 = 8.73
7 - root3 = 5.26
Thus
8.73/5.26 = 1.659

Help me someone please I’m lost and confused??

Answers

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

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