If l is parallel to m, solve for x and y.

If L Is Parallel To M, Solve For X And Y.

Answers

Answer 1

Answer:

x=17, y=9

Step-by-step explanation:

(5x - 38)° = (3x - 4)°

2x = 34

x=17

(5(17)-38))=47

90°+47°+(7y-20)=180°

7y-20=43°

y=9

Answer 2

The value of x is 17 and y is 9.

What are the properties of parallel lines?

Following are the properties of parallel lines,

The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.

Given:

<1 = 7y -20

<2 = 5x - 38

<3 = 90

exterior angle = 3x -4

Using alternate interior angle

5x - 38 = 3x-4

2x = 34

x=17

So, <2 = (5(17)-38))

<2 =47

Using angle sum property

90°+47°+(7y-20)=180°

7y-20=43°

y=9

Hence, the value of x is 17 and y is 9.

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Related Questions

A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.

Answers

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Evaluate (2 * x - 4) for x = 2

Answers

Answer:

0

Step-by-step explanation:

The expression we are given is (2 * x - 4).

We need to find the value of expression when x = 2.

Let's substitute 2 in as x.

Now our expression is (2 * 2 - 4).

First, let's multiply our 2 with our substituted 2.

1.  2 * 2 = 4

We're left with (4 - 4).

Finally, let's evaluate this expression.

2.  (4 - 4) = 0.

Our answer is 0.

So (2 * x - 4) when x = 2 is 0.

Feel free to give brainliest.

Have a great day!

Evaluate the expression

2 − 52 ÷ 5 + 8

Answers

Answer:

32

Step-by-step explanation:

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Answer:

decimal= -0.4

exact form=-2/5

Step-by-step explanation:

Scientific notation The table shows the amount of money raised by each region the four regions used a total of $ (5.38×10^4) How much money did the West Raise?

Answers

9514 1404 393

Answer:

  $8.65×10^3

Step-by-step explanation:

The amount the West raised is the difference between the total and the sum of the other amounts raised. It is convenient to use a multiplier of 10^4 for each of the numbers, so the number for South can be rewritten as 0.675×10^4.

  West = 5.38×10^4 -1.46×10^4 -2.38×10^4 -0.675×10^4

  = (5.38 -1.46 -2.38 -0.675)×10^4

  = 0.865×10^4 = 8.65×10^3

West raised $8.65×10^3.

_____

Your calculator can figure this for you. You can set the final display to scientific notation format, if you need to.

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?

Answers

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

I don’t know another way to find the intercept so I backtracked. The slope is 3, so it rises by three and “runs” right by 1. So I went down 3 and left 1 till I got the intercept. The first point was (1,2). The second I got was (0,-1). Then I used Desmos to graph it.

The plans for a new street show lamp post that are 2.5 inches apart. If the plans use a scale of 0.5 inch = 9 yards, find the actual distance between the lamp posts.

Answers

Answer: 45 yards

Step-by-step explanation:

From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,

Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:

= (2.5inches / 0.5 inches) × 9 yards

= 5 × 9 yards

= 45 yards


What are the excluded values of x for

Answers

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

how do I solve 9x-4= -44​

Answers

9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...

can someone help? please

Answers

28 degrees I do believe

Solve by elimination
-2x + 6y = 16
- 4x - 3y = 2
please help

Answers

Answer:  

(−2,2)

Hope it helps!

Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

72 miles per hour

576/72= 8

8 hours. 936/13 equals 72, so 576/72 is 8 hours

write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative

Answers

Answer:

- 3 and - 2

Step-by-step explanation:

y = | x - 3 | - 2

The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​

Answers

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Distribute 2:                              163 = 4l + 16 + lCombine like terms:                 163 = 5l + 16Subtract 16 on both sides:        147 = 5lDivide both sides by 5:             147/5 = lRewrite:                                      l = 147/5Evaluate:                                    l = 29.4 yards

Step 4: Find w

Define:                    w = 2l + 8Substitute:              w = 2(29.4) + 8Multiply:                  w = 58.8 + 8Add:                        w = 66.8 yards

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?

Answers

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:

Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.

Use this information to complete each statement about the linear equation.

Answers

Answer:

y= 3x

Step-by-step explanation:

This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.

Answer:

slope of the linear equation is 3

a point on the graph of a linear equation is (4,12)

linear equation can be written as y-12 = 3 (x-4)

Step-by-step explanation:

Cuz it is

Eloise is baking cupcakes and cookies for a birthday party. He baked 2.5 times as many cookies as cupcakes for a total of 56 items. How many of each item did she bake?

A. 16 cookies and 40 cupcakes
B. 35 cookies and 21 cupcakes
C. 35 cupcakes and 21 cookies
D. 16 cupcakes and 40 cookies

Answers

Answer:

D 16 cupcakes and 40 cookies

Step-by-step explanation:

I wrote an equation to solve for this

2.5x + x = 56

x represents cupcakes

3.5x = 56

x = 16

16 represents cupcakes.

16*2.5 = 40 (cookies)

5x≥7 solve the equation plz I need help

Answers

Answer:

Step-by-step explanation:

5x≥7

Divide both sides by 5

x ≥7/5

Saul and Raul had a bag of marbles. Raul selected 7 / 12 of the
marbles. Saul selected 3/12 of the marbles. What fraction of the marbles
did the boys select?

Answers

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)

science pls answer I give brainliest

Answers

Answer:

I would say B

Step-by-step explanation:

Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time

Blaine bought a bag of 20 apples. When she got home, she found that 20%
of the apples were bad. How many bad apples were in the bag?

Answers

Answer:

4

Step-by-step explanation:

20 percent * 20 =

(20:100)* 20 =

(20* 20):100 =

400:100 = 4

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer:

2/5

Step-by-step explanation:

n - 10=-6.
2
Pls help !!!!!!!!

Answers

rewrite it like this n = -6 + 10
n = 4

Answer:

n = 8

Step-by-step explanation:

(n/2) - 10 = -6

       + 10   +10

[tex]\frac{n}{2}[/tex] = 4

[tex]2*\frac{n}{2} = 4*2[/tex]

n = 8

the polygons in each pair are similiar. help find the missing side length???

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

The tape diagram models the lengths of two snowboarding trails. The expert trail is 750 meters longer than the beginner trail. How long is each trail? ( Beginner trail: 1 length. Expert trail: 4 lengths) ​

Answers

Answer:

In a tape diagram, each of the lengths represents a fixed quantity of something.

Let's suppose that each one of these lengths represents a distance d.

We also know that the expert trail is 750 meters longer than the beginner one.

And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.

750m = 3*d

d = 750m/3 = 250m

Then each length in the tape diagram represents 250m

With this we can find the length of each trail.

The beginner trail has 1 length, then it is 1*250m = 250 meters long.

The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.

How did you get -16 from -9-5-20?

Answers

Answer:

it would be -34

Step-by-step explanation:

The answer is -34 hope this helps

answer this i need it quick PLEASE

Answers

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.

Answers

Answer:

Buy-Here Warehouse has the better deal.

Step-by-step explanation:

divide

$6.50 divided by 2 = $3.25

$3.25 costs less than $3.95 for a pound

Brainliest!! Pls help

Answers

Answer:

its c

Step-by-step explanation:

that one is shaded down other one is shaded up (up = greater)( down= less)

Yeah it is letter c it is the correct answer

We can describe 15x-10 as an expression
We would describe 9x+5=32 as an

Answers

We would describe 9x+5=32 as an equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:

A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Therefore, We would describe 9x+5=32 as an equation or a function.

Learn more about expression here:

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Which answer choice shows 34.698 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5

Answers

Answer:

C. 35

Step-by-step explanation:

Since 34.698 is higher than 5 in it's tenths place, we give it a shove.

We then get 35 after we shove the 6.

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