Given m|n, find the value of x and y.

Answers

Answer 1

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

Related Questions

5-4c-2-9c
evaluate the expression

Answers

Answer:

-13c + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5 - 4c - 2 - 9c

Step 2: Simplify

Combine like terms (c): -13c + 5 - 2Combine like terms (Z): -13c + 3

Answer:

-13c + 3

Step-by-step explanation:

Kali earned $40 for babysitting for 5 hours. At this rate, how much will she earn for babysitting for 7 hours?

Answers

Answer:

56 dollars

Step-by-step explanation:

So why I did was divided the amount of money by the hours spent to find how much she makes in an hour which was 8 dollars and for 7 hours she would have made 56 dollars

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Not 100 percent sure but if you gotta go with one it would be even

Jay made 3 out of 12 attempted baskets in the game. What percentage of the shots did he NOT make?

Answers

Answer:

he didn't make 75% of the baskets he shot

HELP I NEED A SUPER FAST ANSWER
Which is a graph of y=3z - 1?

Answers

Answer:

bottom left

Step-by-step explanation:

Please solve this and send a picture really urgent !!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

3) ? = 21

4) ? = 6

Step-by-step explanation:

3) The given ratio is ...

A : B = 2 : 7

You want to find ? such that ...

2 : 7 = 6 : ?

The ratio is equivalent when both numbers are multiplied by the same value.

From your knowledge of multiplication tables, you know that 2×3 = 6. then 7×3 = ? = 21.

4) For this one, you need to recognize that the given number corresponds to B.

A : B = 2 : 3

2 : 3 = ? : 9

Again, you know that 3×3 = 9, so 3×2 = ? = 6.

You want to put a 3 inch thick layer of topsoil for a new 13 ft by 31 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order

Answers

Answer:

30 cubic yards

Step-by-step explanation:

You will multiply 13 by two because there is two sides of 13ft

13 x 2 = 26

Then do the same thing with 31, so 31 multiply by 2

31 x 2 = 62

After that add 62 and 26

62+26=88

Then divide 88 by 3

88÷3=29.9

after that you will round 29.9 by the nearest 10 which is 30

PLEASE HELP I NEED A GENIUS TO ANSWER THIS!!

Answers

89 Step-by-step explanation: 12+-3 = 6

Answer: 5,120

Step-by-step explanation:

Your equation is:

v(t) = 320 • 4^t

You are trying to find v(2) so:

t = 2

Plug in 2 for t:

v(2) = 320 • 4²

Solve:

v(2) = 5,120 views

Hope this helps! :)

What is the value of x?

Answers

Answer:

x=139°

Step-by-step explanation:

7 sides

180(7-2)=900°

900-(118+129+129+109+137)=278

278/2=139°

Someone plz help me I will give brainliest plzzzzz

Answers

Answer:

Lemme

Step-by-step explanation:

3 1/2+4 3/4=8 1/4

8 1/4-5 3/8= 3 7/8

help me plzzzzzzzzzzzz

Answers

Answer:

The answer to the question provided is 45.

Step-by-step explanation:

You add by ten.

The amount of time I seen this question-

can someone help plzzzzzzzzzzzzzzzzz ill give extra brain lets

Answers

Answer:

It's A

Step-by-step explanation:

Use the app Socratic, it gives you the answer and an explanation

Someone help me please

Answers

I think the answer is y= 2

Solve for x 3 x − 8 = 6 x − 2

Answers

Answer:

x = -2

Step-by-step explanation:

3x - 8 = 6x - 2

Isolate x.

3x = 6x - 2 + 8

3x - 6x = 6

-3x = 6

x = 6 ÷ -3

x = -2

Please mark me Brainliest :)

840x60=____________

Answers

Answer:

50,400

Step-by-step explanation:

Answer:

840 × 60 = 50,400

_______________

Divide 8/9 by 1/4" Your answer

Answers

0.2 or 0.222222222222

Max put 38,250 miles on his car during the three years that he owned it. At this rate, how many miles would be on his car after 7 years?

Answers

Answer:

89,250 miles

Step-by-step explanation:

you divide 38,250 by 3 to get how many miles he drove a year, then multiply it by 7 for the seven years and you get 89,250 miles in 7 years.

f(x) = (x + 2)(x - 4)
in standerd form

Answers

Step-by-step explanation:

Find x - y subtracted from 0.

Answers

Answer:

0-(x-y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

simplify 0-(x-y).

0-(x-y)

=-(x-y)

=-x+y

You have to treat the negative sign in front of (x-y) as a -1 and distribute it to x and -y.

1. Find the perimeter.
13 yd
14 yd
7 yd
18 yd

Answers

Answer:

52 yards

Step-by-step explanation:

Perimeter is all sides added together.

13 + 14 + 7 + 18 = 52

The answer is 52! :)

The sum of ages of two ship 12years old .Two years ago, the age of the older ship was three times the age of the newer ship. Find the present age of each ship.

Answers

Answer:

the present age of the old ship is 8 years

The present age of the new ship is 4 years

Step-by-step explanation:

Let the age of the older ship be x

Let the age of newer ship be y

If the sum of ages of two ship 12years old, then;

x + y = 12 .... 1

Two years ago;

Older ship age = x - 2

New ship age = y - 2

If two years ago, the age of the older ship was three times the age of the newer ship, then;

x - 2 = 3(y-2)

x-2 = 3y - 6

x = 3y - 4 ....2

Substitute equation 2 into 1;

From 1; x+ y = 12

3y-4+y = 12

4y = 12 + 4

4y = 16

y = 4

Since x+y = 12

x = 12-y

x= 12-4

x = 8

Hence the present age of the old ship is 8 years

The present age of the new ship is 4 years

At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit card? Round to the nearest cent.

Answers

Answer:

%375.15

Step-by-step explanation:

Hope this helps u out

Answer:

The final price of the smartphone is $375.15

Step-by-step explanation:

Percentages

The original price of a smartphone at an electronics store is $679. The store is on sale for 35% off that price.

Thus the sale price can be calculated by subtracting the discount from the original price.

Discount= 35% of $679 = 35/100 * $679 = $237.65

Sale price=$679 - $237.65 = $441.35

If you use the store credit card, there is an additional discount of 15% off the sale price. The new discount is:

New discount = 15% of $441.35 = $66.20

And the final price is: $441.35 - $66.20 = $375.15

The final price of the smartphone is $375.15

Dave Drove 15 Miles For 20 Minutes

Raul Drove 15 Miles For 15 minutes

Sinead Drove 20 Miles For 30 Minutes

Whose Speed Was The Slowest.

Answers

Answer:

Sinead

Step-by-step explanation:

Sinead drove 20 miles for 30 minutes, it means that they were the slowest since wherever they were going they got there last.

hope this helps!!!

If the Cable Company offers cable for $110 a month but gives a 10%
discount for new customers. Find the cost for the new customers. (SHOW
ALL WORK)

Answers

$110x.10= $11
$110-$11= $99
New costumers would pay $99

factorize I'll mark brainlist plz help me

Answers

Answer is shown below

Somebody pleaseeeee help me ill give u brainiest!! the circled question in black

Answers

Answer:

The answer is the first option (0,7), (-1,6), (2,0)

I hope this helps you

NEED HELP ASAP
If 2/3 of a class has brown hair, and 1/5 of the students with brown hair have blue eyes, what portion of the class has brown hair with blue eyes?

Answers

Answer: 2/15

Step-by-step explanation:

1/5 of 2/3 means you multiply 2/3 by 1/5:

2/3 x 1/5 = 2/15

2/15 of the class has brown hair with blue eyes

2/3 x 1/5 = 2/15

2/15 of the class has brown hair with blue eyes.

find a formula for the nth term in this arithmetic sequence. a1=0, a2=0.5, a3=1, a4=1.5

Answers

Answer:

nth term is;

0.5n-0.5

Step-by-step explanation:

As we can see, the first term is 0

The common difference is 0.5-0= 1-0.5 = 1.5-1 = 0.5

Formula for nth term of an arithmetic sequence is;

a + (n-1)d

So we have

0 + (n-1) 0.5

= 0.5n-0.5

Consider the function f(x) = x^2 - 6x + 5

a. What are the x-intercepts of the function?

b. Does the function have a line of symmetry? if so, what is it?

c. Does the function have a maximum or minimum value? Explain how you know without graphing.

Answers

Answer:

Step-by-step explanation:

a. the question can be factored as (x-5)(x-1) so the 2 x intercepts are 5 and 1

b. yes the function has a line of symmetry every parabola does and it is at when x is 3

x. the function has a minimum value because the equation has x^2 which is 1x^2 1 is a positive meaning that the function opens upward which means it has a minimum value

Answer:

(1, 0) and (5, 0)

Yes.

The equation is x = 3.

Yes.

In this case, we have a minimum.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^2-6x+5[/tex]

Since the highest degree is two, we can immediately determine this to be a quadratic.

The x-intercepts of a function are whenever the function equates to 0. Hence:

[tex]0=x^2-6x+5[/tex]

We can factor:

[tex](x-1)(x-5)=0[/tex]

Zero Product Property:

[tex]x-1=0\text{ or } x-5=0[/tex]

Solving yields:

[tex]x=1 \text{ and } x=5[/tex]

So, our x-intercepts are at (1, 0) and (5, 0).

Since this is a quadratic, it indeed has a line of symmetry.

Recall that the line of symmetry for a quadratic equivalent to the x-coordinate of the vertex.

In the given function, a = 1, b = -6, and c= 5.

Hence, the x-coordinate of the vertex is:

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(-6)}{2(1)}=\frac{6}{2}=3[/tex]

So, the line of symmetry is x = 3.

Every parabola has a minimum/maximum value.

This depends on the sign of the leading coefficient.

If the leading coefficient is positive, then we have a minimum since our parabola will be curving upwards.

And if the leading coefficient is negative, then we have a maximum since our parabola will be curving downwards.

Since our leading coefficient here is 1, hence positive, we have a minimum value.

Question 2
Indicate the answer choice that best completes the statement or answers the question
Find.x

Answers

Answer:

C. 6√55

Step-by-step explanation:

The triangle given is an isosceles triangle that is divided into two equal parts by a segment.

Thus, we can apply pythagorean theorem to find x.

x = 2 × √(24² - 9²)

x = 2 × √495

x = 2 × √(9 × 55)

x = 2 × 3√55

x = 6√55

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