Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

Answer:

9^x =9^5.

9^3

cross multiply

9^x=9^5×9^3

the nine cancel themselves .

x=5+3=8.

Answer:

x=8

Step-by-step explanation:

when dividing, you subtract the indicies (powers) and vice versa

rearrange the equation:

9^x=9^5​*9^3

5+3= 8 (add because when multiplying with indicies you need to add the indicies)

check answer:

9^8/9^3=9^5​

8-3=5 ✓

Answer:

7

Step-by-step explanation:

10-3=7

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

Answer:

D

Step-by-step explanation:

It would 75:100

We then can simplify that by dividing by 5 so we get

15:20

Answer: 15:20

Step-by-step explanation:

75% tables are used out of 100%

The ratio will be 75:100 = 15:20

Answer:

39,000

Step-by-step explanation:

$25x30=$750

$750x52=$39000

Answer: 3.3%

Step-by-step explanation:

Amount = prt / 100

3075.21 = (2152 x r x 13)/100

Answer:

the answer is letter c

Step-by-step explanation:

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

Step-by-step explanation:

Total books = 368.

Sociology books = 92.

Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

Answer:

3x^2y^2

Step-by-step explanation:

the gcf is 3x^2y^2 since it is the common factor in all of the terms

Answer:

24. 40 minutes approximately

25. 8 days

Step-by-step explanation:

24. 40 minutes

Anna: 1 hour

Peter: 3 hours

Maria: 6 hours

A way to solve this kind of question is to think about how much they can perform given the same amount of time.

Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)

Peter: 3 hours x 2  6 hours (In 6 hours Peter can clean 2 houses)

Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)

Working together they can clean the house 9 times faster.

It is 0.66 hours, or approximately 40 minutes

25. 8 days

It climbs 3 feet up but then it falls 2 feet down while sleeping during

the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.  

Answer:

I think is A but I could be wrong.....But I don't think so because I did the math lol

Step-by-step explanation:

Answer:

The correct option is B

B) Stem and Leaf plot

Step-by-step explanation:

The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.

In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:

17 |  1   6

Answer:

y

Step-by-step explanation:

Associative Property a(bc)=(ab)c

1/4(4y)=(1/4(4))y

y

Answer:

A =141.4875

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 16.17 * 8.75

A =141.4875

Answer:

the ratio is 16:1

Step-by-step explanation:

surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.

[tex]4^{2} : 1^{2} -->16:1[/tex]

Answer:

A.16:1

Step-by-step explanation:

Answer:

[tex]3y - 2x = 13[/tex]

Step-by-step explanation:

Given

Points (-14,-5) and (4,7)

Required

Find its linear equation in a standard form

To find the linear form, we start by calculating the slope of the line

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]

[tex]m = \frac{7 + 5}{4 + 14}[/tex]

[tex]m = \frac{12}{18}[/tex]

Simplify fraction to lowest term

[tex]m = \frac{6*2}{6*3}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]

We have

[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]

[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]

Multiply both sides by 3

[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{3(y+5)}{x+14}[/tex]

Multiply both sides by x + 14

[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]

[tex]2 * (x + 14) = 3(y+5)[/tex]

Open brackets

[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]

[tex]2x + 28 = 3y+ 15[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]

[tex]28 = 3y+ 15 - 2x[/tex]

Subtract 15 from both sides

[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]

[tex]28 - 15 = 3y - 2x + 15- 15[/tex]

[tex]13 = 3y - 2x[/tex]

Reorder

[tex]3y - 2x = 13[/tex]

Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]

Answer:

check google

Step-by-step explanation:

Answer: 26¢

Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

Answer:

32 2/5

Step-by-step explanation:

Twice of the width is 10 4/5

So 10 4/5 plus 5 2/5 is 16 1/5

Then you add it to 16 1/5 because it is the perimeter and it has the same sides

Answer:

4.   [tex]32 \frac{2}{5}[/tex]

Step-by-step explanation:

so the formula for perimeter is l + l + w + w

the width is 5 2/5 and the length is 5 2/5 * 2

that means the length is 10 4/5

so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]

simplified is  10 4/5 + 20 8/5

simplified is 30 12/5

simplified is [tex]32 \frac{2}{5}[/tex]

Answer:

The simple interest she earns is $80

p=500

r=8

t=2

Now,

SI=p×t×r/100

SI=500×2×8/100

SI=80

Answer:

[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]

Step-by-step explanation:

Given:

May invested $500 at 8% p.a. for 2 years.

Solve for:

The simple interest she earned.

Step 1: Define the formula to calculated the simple interest

Interest = Principal x Rate x Year

Step 2: Perform the calculation

With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2

Interest = 500 x 0.08 x 2 = 80$

Hope this helps!

:)

Answer:

distributive property

Step-by-step explanation:

5(8+3)=5*8+5*3

This is an example of the distributive property

The 5 is distributed to each of the terms inside the parentheses

Answer:

She would need 5 more correct answers.

Step-by-step explanation:

This is from the AMC 8 1999 (the question). You can just search up the solution but okay.

70% of 10 is 7 so she got 7 arithmetic questions.

40% of 30 is 12 so she got 12 algebra questions.

60% of 35 is 21 so she got 21 geometry questions.

She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.

60% of 75 is 45 questions correct.

She got 40 questions correct.

She needed 5 more correct answers to get 60%.

Answer:

Step-by-step explanation:

problems solved in arithmetic=10×70 %=7

problems solved in algebra=30×40 %=12

problems solved in geometry=35×60 %=21

total problems solved=7+12+21=40

problems required for passing=75×60 %=45

so more questions required for passing=45-40=5

Answer:

28%

Step-by-step explanation:

Fraction= 14 out of 50 weeks

To find percentage multiply the fraction by 100

14/50 * 100

= 1400/50

= 28 percent

Answer:

28%

Step-by-step explanation:

50 ws ................ 100%

14 ws ......................x%

x = 14*100/50 = 14*2 = 28%