The table shows the proof of the relationship between the slopes of two parallel lines. What is the missing reason for step 2?

A.
Pythagorean theorem
B.
application of the distance formula
C.
application of the slope formula
D.
transitive property

Answer with step-by-step explanation:

A: 207

We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.

B. 80 teenagers

We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.

C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.

The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,

(a) Calculate the number of teenagers who like comedy as shown below,

The number of teenagers who like comedy = 45 × 460 / 100

The number of teenagers who like comedy = 207

(b) Calculate the total number of teenagers as shown below,

The total number of teenagers × 50% = 40

The total number of teenagers = 40 × 100 / 40

The total number of teenagers = 100

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#SPJ2

Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.

Step-by-step explanation:

The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.  

Answer:

c = 4.2h

Step-by-step explanation:

the rate is 16.80 /4

4.20 per hour

earn = hours * rate

c = 4.20h

Answer:

[tex]c=4.20h[/tex]

Step-by-step explanation:

Given information:

Given variables:

To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:

[tex]\implies \dfrac{25.20}{6}=4.2[/tex]

[tex]\implies \dfrac{16.80}{4}=4.2[/tex]

Therefore, Jasmine earns $4.20 per hour.

The function that shows this information is:

[tex]\large\boxed{c=4.20h}[/tex]

The  probability that 2 men are selected is 49/144

Probability is the likelihood or chance that an event will occur.

If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people

Hence the  probability that 2 men are selected is 49/144

​Learn more on probabaility here:https://brainly.com/question/24756209

Answer:

C 136

Step-by-step explanation:

2×68= 136

...........

....

Hey there!

• If it CHANGES it means your temperature/time changes a bit overtime

• If it CONSTANT your temperature/time remains the same

So, basically to this question it was INCREASED then it was DECREASED

Therefore, your answer is: “Option A. “

Because it didn’t stay same

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Based on the way the piecework pay is calculated, Margit's piecework pay will be $90.60

The piecework pay is 12 cents for every unit that is produced.

Margit was able to produce 755 units in that week so her piecework pay will be:

= Number of units produced x Pay per unit

= 755 x 0.12

= $90.60

In conclusion, Margit should get a piecework pay of $90.60

Find out more on piecework pay at https://brainly.com/question/4692318.

Answer:C TRUST MEEE

Step-by-step explanation:

mark as brainliest

Answer:

ang hirap naman plss answee

Answer:

i dont know sry

Step-by-step explanation:

Answer:

The answer is 6.79 dollars

Step-by-step explanation:

The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79

Answer: x=-1, y=-8

Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

The bi-weekly deduction for Social Security and Medicare is $90.27.

Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:

Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.

Learn more about maths in https://brainly.com/question/25811665

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

6/6 or 1

Step-by-step explanation:

bow tie method

Answer:

arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x

the simplified is: -7x^3-3x^2-11x

Answer:

  71.6°

Step-by-step explanation:

The angle can be found from the dot product of PQ and PR.

  PQ·PR = |PQ|×|PR|×cos(α)

where α is the angle between the two segments.

  cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)

  = ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)

  = (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10

  α = arccos(1/√10) ≈ 71.6°

The angle at P is about 71.6°.

_____

Additional comment

The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.

Answer:

f(7) = -196

Step-by-step explanation:

f(7) = -3(7)² - 7(7)

-147 - 49

-196

Step-by-step explanation:

x = pounds A

y = pounds B

x + y = 123

4.45x + 5.85y = $643.95

from the first equation we get

x = 123 - y

and we use that in the second equation :

4.45×(123 - y) + 5.85y = 643.95

547.35 - 4.45y + 5.85y = 643.95

1.4y = 96.6

y = 69

x = 123 - y = 123 - 69 = 54

so, he used 69 pounds of B coffee.

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point A.

Reasons:

The given parameters are;

The diameter of the circle with center O = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement [tex]{}[/tex]                                                 Reason

1. AB is the diameter of circle     [tex]{}[/tex]                 1. Given

2. DO is perpendicular to AB [tex]{}[/tex]                     2. Given

3. ∠DOA = 90° [tex]{}[/tex]                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°   [tex]{}[/tex]                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA [tex]{}[/tex]                                         5. Reflexive property

6. ΔDOA ~ ΔABC   [tex]{}[/tex]                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA   [tex]{}[/tex]                                       7. CASTC

8. ∠ABC = ∠ODA   [tex]{}[/tex]                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC   [tex]{}[/tex]                                        9. Angles in the same segment

10. ∠AEC = ∠ABC   [tex]{}[/tex]                                       10. Definition of congruency

11. ∠AEC = ∠ODA   [tex]{}[/tex]                                        11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

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Answer:

The height of the water increases 2 inches per minute.

Step-by-step explanation:

Answer:

I think x should be equal to 0.

Answer:

C

Step-by-step explanation:

There isnt rly a lot of information from this question but my best guess would be C.  It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.

Sorry if im wrong but i hope this helps have a great day and happy holidays (｢•-•)｢

Answer:

8 × 10¹

Step-by-step explanation:

don't panic. just breathe deeply and then think logically.

0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?

the 3rd position after the decimal point is for 1/1000.

and that means 10^-3. in the same way as 1000 is 10³.

so, it is 2 × 10^-3.

the other rounded number is then 4 × 10⁴.

now, we are multiplying both numbers

2×10^-3 × 4×10⁴

what do we do ?

we combine the same types of factors, like the basic constants : 2×4 = 8

and 10^-3 × 10⁴.

what hairball when we multiply the same base number with exponents ? we add the exponents :

10^-3 × 10⁴ = 10¹ = 10

because -3 + 4 = 1

and so, the result is

8 × 10¹