Line p is parallel to line q. Parallel lines p and q are crossed by lines a and b to form 2 triangles. At parallel line p, angle 4 is formed by line b and angle 5 is formed by line a. Angle 6 is the third angle. At parallel line q, angle 3 is formed by line 3 and angle 2 is formed by line b. Angle 1 is the third angle. Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 5 is congruent to angle 4, angle 3 is congruent to angle 2 Angle 2 is congruent to angle 4, angle 3 is congruent to angle 6, angle 1 is congruent to angle 5 Angle 3 is congruent to angle 6, angle 1 is congruent to angle 2, angle 5 is congruent to angle 4 Angle 6 is congruent to angle 1, angle 5 is congruent to angle 3, angle 4 is congruent to angle 2

Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

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Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

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Problem 19

Answer: Choice A) 134

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Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

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Problem 20

Answer: Choice C) x = 5 and y = 11

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Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

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Problem 21

Answer:  99

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Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

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Problem 22

Answer: 116

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Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

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Problem 23

Answer: B) between 4 and 44 inches

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Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

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Problem 24

4 Answers: A, B, C, D

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Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

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Problem 25

Answer: C) 84 degrees

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Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

0.78 can be written as the fraction 71/90 after simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 0.1.

To rewrite the repeating decimal 0.78 as a simplified fraction, we can use the concept of geometric series.

Let x = 0.78

Multiply both sides by 10 to shift the decimal point:

10x = 7.88

Subtract the original equation from the multiplied equation to eliminate the repeating part:

10x - x = 7.88 - 0.78

This simplifies to:

9x = 7.1

Now, divide both sides of the equation by 9 to isolate x:

x = 7.1/9

To express the fraction in simplest form, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD:

GCD(7.1, 9) = 0.1

Dividing both the numerator and denominator by 0.1 yields:

7.1/9 ÷ 0.1/0.1 = 71/90

Therefore, the repeating decimal 0.78 is equivalent to the simplified fraction 71/90.

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Answer:

[tex]J" = (-5,3)[/tex]

Step-by-step explanation:

Given

[tex]J = (5,-3)[/tex]

Reflections: over y and x axis to create J"

Required

Determine J"

When reflected over y axis:

[tex]J'(x,y) = J(-x,y)[/tex]

We have that:

[tex]J = (5,-3)[/tex]

So:

[tex]J(-x,y) = (-5,-3)[/tex]

Hence

[tex]J' = (-5,-3)[/tex]

When reflected over x axis:

[tex]J"(x,y) = J'(x,-y)[/tex]

We have that:

[tex]J' = (-5,-3)[/tex]

So:

[tex]J(x,-y) = (-5,3)[/tex]

Hence

[tex]J" = (-5,3)[/tex]

Answer:

(5,3)

Step-by-step explanation:

I put it in and it came out right so

Answer:

false

Step-by-step explanation:

you cannot afford it

Answer:

i think it is A

Step-by-step explanation:

hope this helped!

p.s it would be cool if you give me brainliest.

Answer:8

Step-by-step explanation:

Answer:

-2 1/3, -2.2, 2.8, 3 1/8

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

Negative-negative is always negative, and -1/3-4/5 is negative too. the second one, however, is positive.

Answer:

negative

Step-by-step explanation:

Answer:

asfdgfhjlk;;lfdsaszfcv bkjiu876rdfchv bnjiu8y7

Step-by-step explanation:

o9y8tiyfvhjnkij9u8ybjoh[7t96fygvhgut768tdu

Step-by-step explanation:

1 Adult = $41

2 children = $35 × 2 = $70

1 senior citizen = $ 39

Total = $41 + $70 + $39

=$150

answer:

the question is confusing but the answer is 2010

step-by-step explanation:

because in the year 2000 it was

260

then increased by

60

over 5 years making the next class

320

then in 2010 it was

400

and 320 + what is 400?

80

so the answer is:

2010

In the year 2010 the high school graduating class experience the greatest experience of change.

Finding the difference between two numbers is done using the subtraction technique. The size of a group of things decreases if any of the objects are removed.

For instance, at your birthday celebration, you purchased 9 cupcakes, of which your friends consumed 7. There are only 2 cupcakes remaining for you now. Nine minus seven equals two, which may be represented as the subtraction expression 9 - 7 = 2. (9 - 7) = 2 is the result of subtracting 7 from 9.

According to the question, the given values are :

There are 260 people in the graduating class in 2000, then it increased by 60.

5 years later the people class in the class was 320.

Then in the year 2010, it was 400.

So, the difference between 400 and 320 is 80.

Hence, this concludes that the greatest change will occur in 2010.

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1. Distributive property

2. Multiply

3. Addition and subtraction property of inequalities

4. Add and subtract

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

So we are given the equation:

y = 4x - 1

and we are asked to find the value of x when the value of y is 1.

In other words, what is x when y = 1? To find this, we can plug in 1 for y and solve for x.

1 = 4x - 1

Now solve for x. Add 1 to both sides.

2 = 4x

Divide both sides by 4.

[tex]x=\frac{1}{2}[/tex]

So now we have found that when the value of y is 1, the value of x is 1/2.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

Step-by-step explanation:

Lena's Method:

Jackson's Method:

I hope this helps!

Answer:

Hi in my opinion option A SSS isda answer

Answer:

Step-by-step explanation:

There is no enough evidences of congruence

2 sides don't guarantee the third side or angle between them

Also the triangles are not right triangles

Answer:

Joseph caught 7 tadpoles

Step-by-step explanation:

Let the number of tadpoles caught by Joseph be x

The number of tadpoles Wendy caught will be ;

9(x + 3)

After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;

Hence, mathematically;

9(x + 3)/2 - 6x = 3

Multiply through be 2

9(x + 3) - 12x = 6

9x + 27 -12x = 6

9x -12x = 6-27

3x = 21

x = 21/3

x = 7

Answer:

0.946 liter

Step-by-step explanation:

Here, we are told to round 0.946353 to the nearest thousandth.

The nearest thousandth is simply the third value after the decimal point.

Now to successfully round this number, we need to consider the number after this number. If the number is less than 5, then we round it up as zero and add to the thousandth digit.

in the case where the fourth number is higher than or equal to 5, we turn it to 1 and add it to the thousandth number

In the case of this question however, we can see that the number is less than 5, so we can only round to 0 and this does not affect the thousandth digit .

Answer:

what movie, cuz $8 per ticket for some reason feels super cheap

Step-by-step explanation:

Answer:

El hijo solo tardará 3 horas en arar el campo

Step-by-step explanation:

Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.

Queremos saber el tiempo que pasará el hijo si va a trabajar solo

Sea el área del campo x

La tasa de trabajo de ambos es x / 2

La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y

Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;

x / 6 + x / y = x / 2

Despegar x 1/6 + 1 /y = 1/2

1 / y = 1/2 - 1/6

1 / y= 1/3

entonces y = 3

El hijo solo tardará 3 horas en arar el campo.

It's 20, the answer is 20.

Answer:

Angle between the lines of sight to A and B = 50.94°

Step-by-step explanation:

Distance between the cities A and B = 223 km

Distance between the cities  B and C = 285 km

Distance between the cities  A and C = 152 km

By applying cosine rule in triangle ABC,

AB² = AC² + BC² - 2(AC)(BC)CosC

(223)² = (152)² + (285)² - 2(152)(285)CosC

49729 = 23104 + 81225 - (86640)CosC

CosC = [tex]\frac{54600}{86640}[/tex]

CosC = 0.630194

C = [tex]\text{Cos}^{-1}(0.630194)[/tex]

C = 50.94°

Therefore, angle between the lines of sight to cities A and B is 50.94°

Answer:

4/3.

Step-by-step explanation:

Unit rate is the same as slope. In order to find the slope, we are going to use this formula:

m = y2 - y1 / x2 - x1

Now, we substitute the numbers into the equation:

m = 8 - 0 / 6 - 0

m = 8/6

m = 4/3

Therefore, the unit rate is 4/3.

Answer:

x = -9

Step-by-step explanation:

7x = 6x - 9

-6x   -6x

x = -9

Answer:

4yd

Step-by-step explanation:

11 (bottom length) - 7 = 4

Answer:

22/21............

............

The ratio of brownies to donuts 22:21.

Given that, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Now, ratio to cakes and donuts = 2:7

Ratio to brownies to cakes = 11:3

Multiply 3 to the ratio 2:7. That is 6:21.

Multiply 2 to the ratio 11:3. That is 22:6.

So, the ratio of brownies to donuts 22:21

Therefore, the ratio of brownies to donuts 22:21.

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Answer:

so if the printer can print 10 pages per min. then the equation would be 10*m.

Step-by-step explanation:

Given:

Amount in Aleka and Helene accounts represented by the following function:

Aleka: [tex]f(x) = 2500(1.025)^x[/tex]

Helene: [tex]g(x) = 1500(1.025)^x + 200x[/tex]

To find:

The function represents the difference, [tex]h(x) = f(x) -g(x)[/tex], between the value of Aleka's and Helene's total savings after x years.

Solution:

We have,

[tex]f(x) = 2500(1.025)^x[/tex]

[tex]g(x) = 1500(1.025)^x + 200x[/tex]

Now,

[tex]h(x) = f(x)-g(x)[/tex]

[tex]h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x][/tex]

[tex]h(x) = 2500(1.025)^x-1500(1.025)^x - 200x[/tex]

[tex]h(x) = 1000(1.025)^x - 200x[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

y=6.50x+10.50

Step-by-step explanation:

Answer: 17

Step-by-step explanation: