In the figure below, lines that appear to be parallel are parallel. Solve for a, b, and c.

In The Figure Below, Lines That Appear To Be Parallel Are Parallel. Solve For A, B, And C.

Answers

Answer 1

Answer:

a = 55

b = 13

c = 8

Step-by-step explanation:

2a - 5 = 105° (alternate exterior angles are congruent)

Add 5 to both sides

2a - 5 + 5 = 105 + 5

2a = 110

Divide both sides by 2

2a/2 = 110/2

a = 55

(2a - 5) + (5b + 10) = 180° (consecutive interior angles/same side interior are supplementary)

Plug in the value of a

2(55) - 5 + 5b + 10 = 180

110 - 5 + 5b + 10 = 180

Add like terms

115 + 5b = 180

Subtract 115 from each side

115 + 5b - 115 = 180 - 115

5b = 65

Divide both sides by

5b/5 = 65/5

b = 13

10c - 5 = 5b + 10 (corresponding angles are congruent)

Plug in the value of b

10c - 5 = 5(13) + 10

10c - 5 = 65 + 10

10c - 5 = 75

Add 5 to both sides

10c - 5 + 5 = 75 + 5

10c = 80

Divide both sides by 10

10c/10 = 80/10

c = 8


Related Questions

Suppose a 5-mintue overseas call costs 6.45 and a 10-minute calls costs 11.40. The cost of a call and the length of a call care related. Write an equation to show the cost of a call for any duration. Approximately how long can you talk on the phone if you have $51 to spend?

Answers

Answer:

The Equation for this is given as

C = $0.99x + $1.50

Where x = number of minutes

C = Cost of the call

If you have $51 to spend , the duration of the call is approximately 50 minutes

Step-by-step explanation:

Step 1

The difference in the cost of the calls is calculated as:

$11.40 - $6.45

= $4.95

The cost for a 5 minute call is calculated as:

$4.95 ÷ 5 = $0.99

Extra charges for the 5 minutes call =

$6.45 - $4.95 = $1.50

The Equation for this is given as

C = $0.99x + $1.50

Where x = number of minutes

C = Cost of the call

If you have $51 to spend, the number of minutes you would get is :

$51 = $0.99x + $1.50

$51 - $1.50 = 0.99x

$49.50 = 0.99x

x= $49.50/0.99

x = 50 minutes

Therefore, If you have $51 to spend , the duration of the call is approximately 50 minutes.

36 even : 12 odd
Write the ratio as a fraction in simplest form.

Answers

36/12 and just simply the fraction

The proportion is given by the equation 36/12 = 3 / 1  or 3 : 1

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the equation will be

Let the first number be represented as p = 36

Let the second number be represented as q = 12

Now , the proportion A = p / q

Substituting the values in the equation , we get

A = 36 / 12

On simplifying the equation , we get

A = 3 / 1

Therefore , the value of A is 3 : 1

Hence , the proportion is 3 : 1

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MARKING BRAINLIEST FOR HELP

Answers

Answer: -4.75

Step-by-step explanation: YOU OR YOUR PARENTS VOTE BIDEN! TRUMP KILLED 223,000 PEOPLE AND HE STILL DOES NOT CARE! HE SAYS WE ARE ROUNDING THE CORNER. HE CAN NOT EVEN HAND OUT STIMULUS TO DYING BUISNESSES AND AIRLINES!

Answer:

the answer is 3/4

Step-by-step explanation:

I know this anser

Hannah has an aquarium with 25 liters of water in it. How many milliliters of water are in the aquarium?

Answers

Answer:

25,000 milliliters

Can someone please answer these two questions? I put a picture.

Answers

Answer:

14. y = x - 6

15. [tex]y = -\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Slope-intercept form is y = mx + b where:

"m" is the slope

"b" is the y-intercept

"x" and "y" are points on the graph.

For each question,

Find the slope by counting rise over run between two points Find the y-intercept by where the graph hits the y-axis Substitute the slope and y-intercept into y = mx + b

14.

Slope:

Two points are (6, 0) and (7, 1).

[tex]m= \frac{rise}{run} \\=\frac{1}{1}\\= 1[/tex]

Y-intercept:

b = -6

y = 1x - 6

We don't need to write the 1.

∴ The equation is y = x - 6

15.

Slope:

Two points are (-2, -4) and (0, -5).

[tex]m = \frac{rise}{run}\\=\frac{-1}{2}[/tex]

Y-intercept:

b = -5

∴ The equation is [tex]y = -\frac{1}{2}x - 5[/tex]

There were minty people at a Halloween party eighteen of the costumes were ghosts what percentenge of the people were dressed as fhosts

Answers

Answer:

ozark Paul pick icky office

Due later today! Please help!!
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?

Answers

Answer:

What is her MPH?

Step-by-step explanation:

The large rectangle's dimensions are three times the dimensions of the small rectangle.



a. How many times greater is the perimeter of the large rectangle compared to the perimeter of the small rectangle?


Question 2
b. How many times greater is the area of the large rectangle compared to the area of the small rectangle?


Question 3
c. Are the answers to parts (a) and (b) the same? Explain why or why not.





Question 4
d. What happens in parts (a) and (b) if the dimensions of the large rectangle are two times the dimensions of the small rectangle?

Answers

Answer:

The answer Is A! Hope you do Great!

Step-by-step explanation:

what do all unit rates have in common in maths

Answers

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

it's easy but plzz help me..
I will give u brainliest!!​

Answers

Answer:

You can figure this out by measuring the 200 pages together and then divide by 200.

Step-by-step explanation:

Answer: Measure all the sheets together and divide by 200.

Step-by-step explanation: An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

x and y intercepts of 8y=9x-12

Answers

Answer:

x-intercept(s):  ( 4 /3 ,  0 )

y-intercept(s):  ( 0 ,  − 3/ 2 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x .

To find the y-intercept, substitute in  0 for  x and solve for  y .

Answer: 3,9

Step-by-step explanation: divided it

Help!!!!!!!!!!!!!!!!!!!!!plz

Answers

Answer:

c-4 is less than or equal to -19

Step-by-step explanation:

Because it says the word difference you know that those those integers will be a subtracted.

How many half rests are in one whole rest?

Answers

2 half rests. 4 beats in a measure half that is 2 a whole rest is 4 beats long

Which expression best estimates 6-12
O 7-2
06-1
0 3-2
HELLP

Answers

Answer:

3-2is the sufficient way to form your calculations

I'm having a bit of trouble, think you can help me out?

Answers

Answer:

y=-5/4+3

Step-by-step explanation:

...............................................................................................................................................................................help.....................................................................................................................................................................................................................................................

Answers

Answer:

the 2nd one

Step-by-step explanation:

hope this helped!

p.s it would be cool if you would give me brainliest

classify the following system y = 5x + 3. Possible answers no solution, one solution or infinte solutions ​

Answers

Answer: Infinite solutions

Each of the four shapes represents a positive whole number. The sum of the shapes in each row and column is displayed at the end of each row and column. Using this information, determine the numerical value of each shape.

Answers

9514 1404 393

Answer:

  A = pentagon = 6

  B = 5-pointed star = 8

  C = rectangle = 4

  D = spiral = 3

Step-by-step explanation:

Starting in the upper left corner, name the shapes A, B, C, D clockwise in the 2×2 square in that corner. Then we have ...

  A = pentagon

  B = 5-pointed star

  C = rectangle

  D = spiral

__

It turns out to be convenient to look at rows and columns with two of each shape.

  Row 2: 2(C+D) = 14   ⇒   C+D = 7

We can use that in column 2 to find B:

  B +C +B +D = 23   ⇒   2B +(C+D) = 23   ⇒   2B = 16   ⇒   B = 8

This lets us find D:

  Row 4: 3D +B = 17   ⇒   3D +8 = 17   ⇒   3D = 9   ⇒   D = 3

So, C can now be found:

  C+D = 7   ⇒   C +3 = 7   ⇒   C = 4

Finally, we can find A:

  Row 1: A +2B +D = 25   ⇒   A +2(8) +3 = 25   ⇒   A = 6

__

In summary, the numerical values are ...

  A = pentagon = 6

  B = 5-pointed star = 8

  C = rectangle = 4

  D = spiral = 3

. . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .

distance formula, help pls

Answers

The distance formula

Answer:

[tex]d = 2\sqrt{10}[/tex]

Step-by-step explanation:

(4, 3) (6, 9)

[tex]d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }[/tex]

[tex]d=\sqrt{(6-4)^{2} +(9-3)^{2} }[/tex]

[tex]d=\sqrt{(2)^{2} +(6)^{2} }[/tex]

[tex]d=\sqrt{(4 +36)}[/tex]

[tex]d=\sqrt{40} = 2\sqrt{10}[/tex]

is 60/15 a natural number

Answers

Answer:

YES

Step-by-step explanation:

NATRURAL NUMBERS ARE 1 AND UP NON DECIMAL

Kelan ate at his favorite restaurant, The Red Fish. He received excellent service from the waitstaff and decided to leave a 22% tip Before tip, his bill came to $60.
How much would the meal have cost in total, including tip?
$89.00
$46.80
$73,20
$13.20

Answers

Answer:

$73.20

Step-by-step explanation:

If he left a 22% tip and the meal cost $60 then we need to do 122% of 60

[tex]1.22*60=73.2[/tex]

Since it is money we add the 0 in the hundredths place and we get

[tex]73.20[/tex]

A yoga studio memberships that cost $54 per month for unlimited classes.the studio also accepts walk-ins,charging $3 per class. How many classes in a month will it take for the walk-in amount to cost the same as monthly membership

Answers

Answer:18 pretty sure

Step-by-step explanation:

if i’m right you just divide

18

Step-by-step explanation:

18 times 3 = 54

this is the answer

Haley’s recipe calls for 4.5 cups of an ingredient. Her measuring bowl only has measurements marked in liters. Hayley knows that one cup is approximately 2.4 liters. Which measurement is closes to the number of liters of the ingredient that Haley needs for her recipe?

A. 8.8 liters

B. 7.8 liters

C. 9.8 liters

D. 10.8 liters

Answers

The answer is D- 10.8 liters

Whats the slope?
Hurryyyyyyyyy

Answers

Answer: 3/4

Step-by-step explanation:

When you rise from the first point , it’s three spaces to get in the same line as the second point, then when you run to the right , you are moving four spaces to the right therefore the answer is 3/4

Mya is buying a purse online,that regularly cost $72 how much will she pay in total if she has a promo code for 25% off, plus free shipping and sales tax is 5.5

Answers

Answer:

$56.97

Step-by-step explanation:

Promo code of 25% off =

$72× 25%

= $18

= $72 - $18

= $54

Sales tax = 5.5% of 54

= $2.97

Maya is paying = $54 + $2.97

=$56.97

Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions. Please explain the two possible solutions in 2-3 sentences. (One-two word phrases are not accepted).

Answers

Answer:

Mile marker 4 or mile marker 6

Step-by-step explanation:

You can think of this problem as a number line problem. The number line represents the trail he's walking on. If he starts at the mile marker 5 and moves to the right one mile, he will find that the next mile marker is 6. But if he moves left, he will find that the next mile marker is 4. See attached picture.

The ratio of dogs to cats at the pet store is 3 : 4. There are 21 total pets. How many cats are in the pet store? Hint: you may want to make a tape diagram.

Answers

Answer: 12 cats

Step-by-step explanation:

first add 3 and 4 together to get 7

divide 21 by 7 to get 3

if there are 4 cats out of 7 pets in the store, you should be able to multiply 4 by 3 to get the total amount of cats in the whole store to get 12

PLS ANSWER ASAP
Fine the missing measures:

EF:

Answers

angle of F is 134, why? Because each triangle is 180 degrees altogether.

Step-by-step explanation:

Which equation correctly applies the Pythagorean Theorem to solve for the missing side length?

Answers

Answer:

A^2+B^2=C^2

Step-by-step explanation:

You plug in the sides to A and B not C,Becuse you are trying to get C.C is called the Hypotenuse,That is what you are trying to figure out

Hope that helps

The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Let's recall the Pythagorean theorem formula:

a² + b² = c²

Replacing by the values we have;

x² + 16² = 20 ²

Therefore, the correct answer is B.

The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².

Learn more about Pythagoras theorem here:

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I NEED ANSWER ASAP

Two pounds of peaches cost $450, 5 pounds cost $11.25, and 10 pounds cost $22.50 Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship. Then write an equation for the relationship

The equation needs to be written in y=kx format using no spaces and no capital letters.​

Answers

Answer:

  y=2.25x

Step-by-step explanation:

  4.50 ÷ 2 = 2.25 per pound

  11.25 ÷ 5 = 2.25 per pound

22.50 ÷ 10 = 2.25 per pound

Proportional relationship as each pound cost $2.25, and will increase accordingly per pound.

constant of proportionality: 2.25

pounds:   x

     cost:   y

y = kx

y = 2.25x

Answer:

Step-by-step explanation:

Y=2.25

Because 4.50/2 = 2.25

11.25/5 = 2.25

22.50/10 = 2.25

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