find the measure of the angle(s).

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. :)

Answer:

1.875

Step-by-step explanation:

Answer:

15/8 simplified = 1 7/8

Step-by-step explanation:

an easier way to divide fractions is to convert all into a improper fraction like this 1 1/4 > 1x4+1= 5/4 since 2/3 isnt mixed keep it ok so now you have 5/4 divided by 2/3 next you take the fraction on the right and flip then multiply it to get 5/4 x 3/2 then you multiply across to get 15/8 then change that to a mixed number by dividing 15 by 8 to get 1 with a remainder of 7 so 1 7/8 is your answer

hope this helps you in the future have a blessed day!

Answer:

T = 4x - 5

Step-by-step explanation:

Let x = Ben's age

2x = Chloe's age

x - 5 = Dan's age

Combine all the terms and simplify to form an equation.

T = 2x + x + x -5

T = 4x - 5

Answer:

Answer: x^2 +14x+49

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

To find these types of answers use a calculator my friend. 'Tis so easy, just do

*88/.4 = 220

*must divide to multiply and 44% = .44 =)

Answer:

A

Step-by-step explanation:

Given :

2x + 4y = 14  ---------- eq 1

4x + y = 20 ---------- eq 2

if you multiply eq 2 by -4 on both sides, you get

-4 (4x + y = 20) = -4 (20)

-16x -4y = -80 --------- eq3

we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.

The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex]  is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

System of equations comprises of two or more equations and seeks common solutions to the equations.

We have,

[tex]2x + 4y = 14[/tex]   [tex]........(i)[/tex]

  [tex]4x + y = 20[/tex]    [tex]........(ii)[/tex]

Now,

To check that which option suits best for system of equation,

Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],

  [tex](-4) (4x + y) = (-4)*(20)[/tex]

[tex]-16x-4y=-80[/tex],

So, this above obtained equation is in option  [tex](A)[/tex].

Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

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Answer:

It is the last one

Step-by-step explanation:

To find the price for one you would divide 36.90 by 9 and to find the equation it is asking for you do the opposite which is 9p=36.90

Answer:

The answer is 9p=36.90

Step-by-step explanation:

Hope this helps!

Answer:

6 and -8

-6 and 8

Step-by-step explanation:

___· ___ = (-48)

Is the same as:

___· ___ = -48

A positive number multiplied by a negative number has a negative product.

P * N = N

Two positive numbers and two negative numbers have a positive product.

P * P = P

N * N = P

6 and -8  and -6 and 8 would be the correct answers. Again, a positive and a negative number will have a negative product.

6 * -8 = -48

-6 * 8 = -48

Hope this helps.

Answer:

30cm^2

Step-by-step explanation:

area of triangle- 1/2xAxB

1/2(5x12)

0.5x60=30

Answer:

The answer is B

Step-by-step explanation:

Answer:

We know that if

          y ∝ x²

∴ y = k · x²

Now  

y = 8   , x = 4

From above y = k · x²

⇒ 8 = k · 4²

∴ k = 1/2

Again ....

x = 5  , y = ?

y = k·x²

y = 1/2 × 5²

 = 25/2 = 12.5

Step-by-step explanation:

Answer:

2√133

Step-by-step explanation:

a²+b²=c²

8²+12²=c²

c²=208

208+18²=532

√532=23

Answer:

4 liters

Step-by-step explanation:

simplify 2/6 = 1/3

Multiply 1/3 times the 12 bottles

1/3 * 12

12/3

Simplify

4

Answer:

4 liters of soda.

Step-by-step explanation:

2/6⋅12=24/6

24/6=4

Therefore, your answer is 4 liters.

Answer:

yes it is     3=4x0 +3

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

No, P(A) ≠ P(A|B)

Step-by-step explanation:

Condition must be held in order to two events be independent of each other:

[tex]P(A B) = P(A)P(B) => P(A) = P(A|B)\\Or\\P(B) = P(B|A)[/tex]

[tex]P(A)=\frac{42}{81}\\P(B) =\frac{46}{81}\\P(A B) = \frac{20}{81}\\P(A|B) =\frac{P(A B)}{P(B)} = \frac{20}{46} \neq P(A) => P(AB) = \frac{20}{81} \neq P(A)P(B) = \frac{23}{81}\\\\P(B|A)=\frac{P(AB)}{P(A)}=\frac{20}{42} \neq P(B) => P(AB) = \frac{20}{81} \neq P(A)P(B)= \frac{23}{81}\\\\[/tex]

Note: (AB) means (A ∩ B)

The probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Two events must be independent of each other, condition must be maintained:

P(A and B) = P(A) × P(B)

The probability:

P(A) = 42/81

P(B) = 46/81

P(AB) = 20/81

P(A|B) = P(AB)/P(B) = 20/46 ≠ P(A) = 20/81 ≠ P(A)P(B) = 23/81

P(B|A) = P(AB)/P(A) = 20/42 ≠ P(B) = 20/81 ≠ P(A)P(B) = 23/81

Thus, the probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.

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Answer:

37%

Step-by-step explanation:

Use the general addition rule for any two events:

(32 + 28) - 23

60 - 23

= 37

So, the probability that someone has a dog or cat is 37%

Answer:

37%

Step-by-step explanation:

32 + 28 = 60

60 - 23 = 37

The correct answer is -7/8

I used a calculator

Answer:

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Step-by-step explanation:

Noah had to rationalize the denominator of [tex]\frac{32}{5-\sqrt{7}}[/tex]

According to him,

[tex]\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}[/tex]

Solving the nominator and denominator

[tex]= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}[/tex]

Noah did correctly till this point.

In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.

Hence,

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

I really hope I get it right but "a single" sounds more right

Answer:

a single

Step-by-step explanation:

when one equation is not easily solved for a single variable

Answer: 508.68 inches

Step-by-step explanation:

The volume of a cylinder is written as:

= πr²h

where,

π = 3.14

r = 9

h = 2

Volume = πr²h

= 3.14 × (9²) × 2

= 3.14 × 81 × 2

= 508.68

Answer:A

Step-by-step explanation:I took the test already trust me

Answer:

The answer is C if i get it wrong then who ever gave you that is oof

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2x - 6= -2

   +6    +6

2x= 4

/2    /2

x=2

Answer:

$41,720

Step-by-step explanation:

Answer:

The product is;

(80x^2-560x+ 980)/9

Step-by-step explanation:

Here, we want to get the product of the two smaller numbers

let the mid number be y

3/4 = 2x-7/y

3y = 8x-28

y = (8x-28)/3

Let the biggest be z

3/5 = 2x-7/z

3z = 10x -35

z = (10x-35)/3

The product of the two other numbers is thus;

(10x-35)/3 * (8x-28)/3

= (10x-35)(8x-28)/9

(80x^2-280x - 280x + 980)9

= (80x^2 - 560x + 980)/9