Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?

Answer:

Carlos is 37 years old and Ella is 17.

Step-by-step explanation:

Let,

Carlos = c

Ella = e

If Carlos is 3 more than twice Ella's age, we get the equation:

2e + 3 = c (1)

Since the sum of their ages is 54, we get the equation:

c + e = 54 (2)

Now we have a system of equations.

Since equation number 1 already designated the value of c in terms of e, we can substitute it into the second equation.

(2e+3) + e = 54

Lets combine like terms and solve!

2e + e + 3 = 54

3e = 51

e = 17

Let's substitute e back into one of the equations to figure out the value of c. I'm going to use equation 1.

2e + 3 = c

2(17) + 3 = c

34 + 3 = c

37 = c

Let's substitute the values of c and e into the second equations to check our work! (We know c and e already fulfill the first equation as we substituted e into it to get c)

c + e = 54

37 + 17 = 54

54 = 54

Now that we've checked our work, we know our answer is correct! Carlos is 37 years old and Ella is 17.

Answer:

Step-by-step explanation:

peter can buy pack of nine pencils

6 divided by 1.68 =3.5

9 divided by 2.34=3.8

package 2 is just 0.3 more

it give 3 more pencils for 0.3

Answer:

a) 33

b) 50

c) 66%

Step-by-step explanation:

a) 3+30

b) 20+50

c) 33/50 * 100% = 66%

Answer:

cos(θ) = -0.95

Step-by-step explanation:

Remember the relation:

sin(θ)^2 + cos(θ)^2 = 1

So if we have:

sin(θ) = 0.3

we can replace that in the above equation to get:

0.3^2 + cos(θ)^2 = 1

now we can solve this for cos(θ)

cos(θ)^2 = 1 - 0.3^2 = 0.91

cos(θ) = ±√0.91

cos(θ) = ± 0.95

Now, yo can see that there are two solutions, which one is the correct one?

Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.

cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.

Then we can conclude that in this case, the correct solution is the negative one.

cos(θ) = -0.95

Answer:

error in step one

Step-by-step explanation:

Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.

That means $22.75 x 3 not $22.75 + 3

He can correct his mistake by doing this:

Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5

Step 2: [$86.75] *1/5

Step 3: $17.35

Answer:

putting this so the other might be brainliest!

Step-by-step explanation:

also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)

Answer:

the answer is three , but let me try to help explain...

in a line the slope (M) as in y=mx + b

is a constant number ... rise over run for every unit in the x direction the y changes by that amount

in your graph what you have to do is locate where the red line crosses the grid in a "nice"  (at the corner of a box).... notice that at the 2 for yards it exactly crosses at the 6 for feet...

that suggests that the "slope", "proportional constant" ,rise over run".

"gradient"  what ever the word you want to use is 6/2 which is 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

SecA - TanA

= 1/CosA - SinA/CosA

= 1 - SinA/CosA

We know that Sin2A = 2SinACosA  and Cos2A = Cos²A - Sin²A

Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2

       CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2

Now substituting the values back,

=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

// we know that Sin²θ + Cos²θ = 1

=> Sin²(A/2) + Cos²A/2 -  2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

//We know that numerator is of form a² + b² - 2ab which is (a - b)².

//Similarly denominator is of form a² - b² which is (a - b)(a + b)

=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)]² /  [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]

= R.H.S

Hence proved.

Answer:

A statistical method to identify cost behavior.

Step-by-step explanation:

Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

Not the best way to do it, but it should look something like this.

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex]  = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a = 6[tex]\sqrt{2}[/tex]

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so

b = 6

Answer: 60 minutes or 1 hour.

Step-by-step explanation:

Since one moderator was typing every 20 minutes while the other moderator was typing every 30 minutes, then the time the other one will find about the insult simply means that we should find the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100, ..

30 = 30, 60, 90, 120 .....

Here, we can see that the lowest common multiple is 60. Therefore, the other one will find about the insults in 60 minutes.

Answer:

Corresponding angles postulate

Step-by-step explanation:

<3 and <7 are corresponding angles and if corresponding angles are equal, the lines are parallel.

Answer:

TRUE Elimination will give you an exact answer to a system of equations.

FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.

I thing it lies on the negativity side of the number line between -2,24

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

[tex]\frac{26,000-7,352.24}{12}[/tex]

Now all we have to do is solve!

[tex]\frac{26,000-7,352.24}{12}[/tex]

[tex]\frac{18,647.76}{12}[/tex]

[tex]1,553.98[/tex]

Answer:

Latoya will get paid $1,553.98 with each paycheck.

Answer:

678

Step-by-step explanation:

12*11=132

11*9=99

12*9=108

132+99+108=339

339*2=678

Answer:

x=30/tan(22)

x= 74.2526056

Step-by-step explanation:

Determine the amount of money Kofi earn mowing lawns today

The amount of money Kofi earn mowing lawns today is 30 cedis

Given:

Amount Kofi earn mowing lawns yesterday = 50 cedis

Amount Kofi earn mowing laws today = 60% of yesterday's earning

= 60% of 50 cedis

= 60/100 × 50 cedis

= 0.60 × 50 cedis

= 30 cedis

Therefore, the amount of money Kofi earn mowing lawns today is 30 cedis

Read more:

https://brainly.com/question/19535437

Answer:

16 degrees

Step-by-step explanation:

Tan(?) = perpendicular/base

Tan(?) = 13/46

?=arctan(13/46)=16

Answer:

I don't know ask to your teacher

Answer:

105 frames

Step-by-step explanation:

Given that 25 frames are played per second

25 frames= 1 sec

The video already played 3 and 2/5 seconds before the player started to count 0

Write 3 and 2/5 seconds as an improper fraction

=(5*3)+2 / 5 = 17/5 seconds

Multiply by 25 frames

17/5 *25 =85 frames

So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames.Thus,to get the number of frames that were already in count you subtract 85 frames from the 190 frames.

190-85=105 frames.

Step-by-step explanation:

c) y= -2x +1

Step-by-step explanation:

y= -2x +1

m= (- 3 -5)/2+2

= -2

c=1

y-(-3)= -2(x-2)

y= -2x +4 -3

y = -2x+1

Answer:

Sample 1 MOE = 37.24%

Sample 2 MOE = 29.4%

Sample 3 MOE = None

Step-by-step explanation:

We are told that 250 sheep grazes over a 40-acre pasture.

Thus, number of sheeps per acre = 250/40 = 6.25 ≈ 6

Thus, n = 6

For the samples given, we can find sample proportions as;

Sample 1: p_o = 4/6 = 0.67

Sample 2: p_o = 1/6 = 0.17

Sample 3: p_o = 9/6 = 1.5

Formula for test statistic here is;

z = √(p_o(1 - p_o)/n)

For sample 1;

z = √(0.67(1 - 0.67)/6)

z ≈ 0.19

For sample 2;

z = √(0.17(1 - 0.17)/6)

z ≈ 0.15

For sample 3;

z = √(1.5(1 - 1.5)/6)

z = √−0.125

We are not given confidence level but we will use 95%.

Value of z_α at 95% Confidence level is 1.96. Thus, we can find the margin of error for the samples;

For sample 1;

Margin of error at z = 0.19 is;

1.96 × 0.19 = 0.3724 = 37.24%

For sample 2;

Margin of error at z = 0.15 is;

1.96 × 0.15 = 0.294 = 29.4%

For sample 3;

Since test statistic has a negative square root, then it has no margin of error.

Step-by-step explanation:

cho f(t)=(t-4)u(t-2)phep bien doi laplace la

F(s)=e^-2s/s^2-2e^-2s/s62

Answer:

<1 = 64

Step-by-step explanation:

The exterior angle is equal to the sum of  the opposite interior angles for triangles

40  +<1 = 104

Subtract 40 from each side

<1 = 104 -40

<1 = 64

Answer:

y = 2/3x + 1

Step-by-step explanation:

So, the equation they're looking for is slope and intercept right? I have my own way of doing it, but I'll show it to you too!

For slope: I remember rise/run. What this means is the rise which is how much you go up or down becomes the numerator (number on top of fraction) and the run which is how much you go left or right is the denominator (number on the bottom of the fraction.) What you are looking for to find this is the separation between the dots. If you look at the dot on the y, and the dot that is the closest one when you look at the top right, those are the two we are comparing. We chose those because it's easiest, and the answer choices have no negatives for the slope. Now, from the dot on the y, you have to go up 2, and go to the right 3 to get to the next dot. This makes the fraction 2/3. That's all!

(Not 100%) Intercept: For this, I look for where the dot on the y is. As you can see, it's located +1 above (0,0) That's all!

Hopefully this helps you! :)

Answer:

Let the two equal angles be x . Hence the third angle is 3x . But the sum of the interior angles of a triangle always adds up to 180∘ . ∴x=1805=36∘

Answer:

Angle 1 = 36°

Angle 2 = 36°

Angle 3 = 108°

Step-by-step explanation:

Sum of all angles in any triangle is 180°

angle 1 = angle 2 = X

angle 3 = 3×X

angle 1 + angle 2 + angle 3 = 180°

X + X + 3×X = 5×X = 180°

X = 180° / 5 = 36°

Angle 1 = 36°

Angle 2 = 36°

Angle 3 = 108°

Answer:

40 kg

Step-by-step explanation:

[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]

y · 83.75 = 5 · 670

83.75y = 3350

83.75y ÷ 83.75 = 3350 ÷ 83.75

y = 40

The amount of rice you can buy for ₹670 is given by the equation

A = 40 kilograms

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of rice for ₹670 be A

Now , the equation will be

The amount for 5 kg of rice = ₹ 83.75

So , the amount for 1 kg of rice = amount for 5 kg of rice / 5

The amount for 1 kg of rice = 83.75 / 5

The amount for 1 kg of rice = ₹ 16.75

So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice

The amount of rice for ₹ 670 = 670 / 16.75

The amount of rice for ₹ 670 = 40 kilograms

Therefore , the value of A is 40 kilograms

Hence , the amount of rice is 40 kg

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

(0.7465 , 0.8429 )

Step-by-step explanation:

Confidence Level - "P" values  

90% 1.645

Confidence Interval - "P" values  

(0.7465 , 0.8429 )