2) AABCD ~ AEFGH
Use the information given to find the missing side of a figure
A)
3
x + 3
F)
x+4
E)
C)
5
B)
>H)

2) AABCD ~ AEFGHUse The Information Given To Find The Missing Side Of A Figure A)3x + 3F)x+4E)C)5B)>H)

Answers

Answer 1

Answer:

Step 1: Judging by the relative lengths of the sides of the two triangles, we can conclude that A corresponds to T, B to S, and C to R, which we can write as

A

B

C

T

S

R

.

In particular, the smallest sides

A

B

and

T

S

are corresponding sides with known lengths, so we form the ratio of their side lengths

9

15

. Remember that all ratios of corresponding side lengths are equal.

Step 2: Next we form a ratio that involves

x

. Since

B

C

and

S

R

are corresponding sides, we know that the ratio of their side lengths equals the ratio from Step 1:

18

x

=

9

15

Step 3: Finally, we cross-multiply and solve for

x

:

x

9

=

18

15

9

x

=

270

x

=

270

9

=

30

That is, the missing side length is 30.


Related Questions

30. pls anwser need to turn it in asap by midnight

Answers

The equation of the line can be written  as, y = 9x/4 - 53/4.

Given :

9x -4y = 7 points given : (5, -2)

Writing the equation in the standard form of y=mx+b, we get:

4y = 9x -7

y = (9x/4)  - (7/4)

Thus, the slope of the given line is the coefficient of x which is equal to 9/4.

Let the equation of the line parallel to the given line be y=m1x+b1

Here m1 = 9/4

y = (9x/4) +b1

The line passes through (5,-2), hence the point satisfies the equation. Replacing the x and y coordinates with 5 and -2 respectively,

-2 = 45/4 + b1

-b1 = 45/4 +2

-b1 = 53/4

b1 = -53/4

Hence the equation of the line can be written as,

y = 9x/4 - 53/4.

What is slope intercept form?

The slope-intercept form of a  line is one of the most common forms used to represent the equation of a line. The slope-intercept formula can be used to find the equation of a line  given the slope of the  line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis). The equation of a line is an equation that is satisfied by each point  on that line. There are several methods to find this equation of a  line given as

Slope-Section Form Point-Slope Form Two-Point Form Section Form.

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If you need 20 m of timber at $18.50/m, how much would it cost?

Answers

Answer:

$370

Step-by-step explanation:

20m times 18.5per m

20x18.5=$370

Answer:

Rs370

Step-by-step explanation:

Here,

1m= Rs18.50

Therefore, 20m = 20*18.50

= 370

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280 grams - 23grams=

Answers

The answer to your question is
257

pls help wil give brainliest

Answers

(1, -7) the third answer

1. Find the product: 82 •123. Solve using either the partial products or the box method.​

Answers

10,086 or in partial method that would be 80x100
2x20
2x3

Brooklyn line‘s upright retanglar prisms like the one shown. She aligns each prism behind the previous prism to make a larger prism. The larger prism has a surface area of 1288 and squared. How many prisms does Brooklyn align? Show your work

Answers

Answer:

if there are 12 cubes, there must be 3 rows of 4 since its a prism. 1288 square root is 35. something

Step-by-step explanation:

Noa contributes 16% of her $66,400 annual salary to her 401(k) plan. What is
her pre-tax income?
O A. $57,241
OB. $66,400
C. $79,048
OD. $55,776

Answers

Correct answer is D. $55,776

1. 2x+8=15 2. 35=3x+14 3. 2x+7+2x=19

Answers

Answer:

2x+8=15

2x=15-8

2x=7

divide both sides by the coefficient of x

x=7/2

x=3.5

Consider the three points, (3,7),(-6,1) and (9,y) on the same line. Find the value of y and explain your steps.

Answers

let us find the slope using 2 points

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1-7}{-6-3} \\ m=\frac{-6}{-9} \\ m=\frac{2}{3} \end{gathered}[/tex]

Therefore let us find y

[tex]\begin{gathered} \frac{2}{3}=\frac{y-1}{9+6} \\ \frac{2}{3}=\frac{y-1}{15} \\ \text{cross multiply} \\ 30=3(y-1) \\ 30=3y-3 \\ 33=3y \\ y=\frac{33}{3} \\ y=11 \end{gathered}[/tex]

massachusetts state standard write a linear two-variable equation for a line that is parallel or perpendicular to a given line and goes through a given point.

Answers

The equation of the parallel line is y = m(x-a) + b.

The equation of the perpendicular line is y = (-1/m)(x-a) + b.

Let the equation of the given line be y = mx + c.

Let the coordinates of the passing point be (a, b).

We need to find the equation of the parallel line.

The slope will remain the same.

y = mx + c'

The line passes through (a, b).

b = ma + c'

y = mx + (b-ma)

y = m(x-a) + b

We need to find the equation of the perpendicular line.

The slope will be the negative reciprocal.

y = (-1/m)x + c"

The line passes through (a, b).

b = (-1/m)a + c"

y = (-1/m)x + (b+a/m)

y = (-1/m)(x-a) + b

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Suppose the probability of event A is P(A) = 7/10. What is the probability of event Anot happening P(A')? (You can give your answer as a fraction, decimal or percent)P(A') = ?

Answers

Solution

Given the probability of event A happening is P(A) = 7/10

the probability of event A not happening P(A') = 1 - 7/10 = 3/10

The answer is 3/10

Three points determine △ABC. The distance between A and B is 16.2 feet. The distance between B and C is 12.9 feet.

What is the range for the distance between A and C?

The range of the distance from A to C is greater than __
feet and less than __
feet.

Answers

The range of the distance from A to C is greater than 3.3 feet and less than 29.1 feet. That is, 3.3 feet < AC < 29.1 feet

Range of the distance between two points on a triangle

From the question, we are to determine the range of the distance between A and C

From one of the properties of a triangle, we have that the length of a side of a triangle is greater than the positive difference between the two other sides and is lesser than the sum of the two other sides of the triangle.

That is,

If AB, BC, and AC are the sides of a triangle,

Then,

AB > |BC - AC|

and

AB < BC + AC

From the given information,

AB = 16.2 feet

BC = 12.9 feet

∴ AC > 16.2 feet - 12.9 feet

AC > 3.3 feet; OR 3.3 feet < AC

and

AC < 16.2 feet + 12.9 feet

AC < 29.1 feet

Thus,

3.3 feet < AC < 29.1 feet

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PLEASE HELP I NEED THIS FOR A TEST AND BIG GRADE!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP!!!!!!!!!!

The statistics below provide a summary of the distribution of heights of 200 randomly selected elementary students from across Pennsylvania (in inches). If we tested for outliers using the 1.5 IQR rule, what would be the upper fence?

Min = 39 Q1 = 43 Median = 45 Q3 = 48 Max = 56

Answers

Upper fence of the statistics below provide a summary of the distribution of heights of 200 randomly selected elementary students from across Pennsylvania (in inches) is 115.5.

Define upper fence.

The Upper Fence serves as the "upper limit" of the data, and any data that lies outside these restrictions is likely to be an anomaly. Q3 + 1.5 IQR, where Q3 is your third quartile and IQR is your interquartile range, can be used to compute the upper fence. An outlier is any value in your dataset that is higher than the upper fence.

Given Data

Min = 39

Q1 = 43

Median(IQR) = 45

Q3 = 48

Max = 56

Upper fence = Q₃ + (1.5(1QR)

Upper fence = 48 + 1.5(45)

Upper fence = 48 + 67.5

Upper fence = 115.5

Upper fence of the statistics below provide a summary of the distribution of heights of 200 randomly selected elementary students from across Pennsylvania (in inches) is 115.5.

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PLEASE HELP!!!!THANK YOU,

Lauren earns $$9.25 an hour plus 3% commission on all
sales up to $2,000, and 5% commission on any sales
over $2,000. Use the table to determine how much she
earned based on her hours and sales.

Answers

Answers:

Monday = $65.25Tuesday = $101.10Wednesday = $0Thursday = $0Friday = $101.36Saturday = $105.80Sunday = $69.66Total for the week = $443.17

=========================================================

Explanation:

Since none of her sales exceed $2000, this means we can ignore the part that mentions "5% commission on any sales over $2,000".

h = number of hours

s = amount of sales between 0 and 2000

The equation is

m = 9.25h + 0.03s

where m is the amount of money made total for that day

9.25h is the amount of money at $9.25 an hour

The 0.03s represents 3% of the sales

-------------------------

For Monday, we plug in h = 6 hours and s = 325 dollars in sales

m = 9.25h + 0.03s

m = 9.25*6 + 0.03*325

m = 65.25

Lauren earned $65.25 on Monday

-------------------------

Repeat the same idea for Tuesday. This time we plug in h = 9 hours and her sales are s = 595 dollars.

m = 9.25h + 0.03s

m = 9.25*9 + 0.03*595

m = 101.10

She earned $101.10 for Tuesday.

Keep this process going until the entire week is filled out.

The answers are shown above to check your work.

-------------------------

Extra info:

If you added up the amounts earned for Monday through Sunday, then you should get $443.17 as the total amount earned for the entire week.

Divide this over the total number of hours worked (6+9+0+0+8+8+6 = 37 hours) and the effective hourly wage is 443.17/37 = 11.98 dollars an hour.

In a sense, the 3% commission adds an extra $2.73 an hour, since 11.98-9.25 = 2.73

Of course, this won't always be the case since the sales amount will fluctuate week to week. Also, there might be some cases in which Lauren is able to get over the $2000 sales threshold. But it gives a slight sense of what's going on.

Sarah took a survey asking students if they prefer summer or winter sports. She found that 12 out of 18 students prefer summer sports. Determine what fraction of students prefers winter sports. Write your response in simplest form Explain how you found your answer. (answer tomorow i have a test)

Answers

If 12 out of 18 students prefer summer sports, then the fraction of students prefer winter sports is 33.33%

Total number of students = 18

The number of student prefer summer sports = 12

Then the number of student who prefer winter sports = Total number of students - The number of student prefer summer sports

= 18 - 12

= 6 students

The percentage is number that can be represented as the fraction of 100.

It is denoted by the percentage sign "%"

Then the fraction of students who prefer winter sports = (Number of student who prefer winter sports /Total number of students )×100

= (6/18) × 100

= 33.33%

Hence, if 12 out of 18 students prefer summer sports, then the fraction of students prefer winter sports is 33.33%

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can someone help me with this please?

Answers

Step-by-step explanation:

Simplify the expression.
(3x/2)4

Answers

Answer:

6x

Step-by-step explanation:

4 * 3x = 12x

12x / 2 = 6x

No spamming please, thank you!

Answers

Number Series questions

What is Number Series?

A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

41) 44, 41, 38, 35, 32, 29, 26

In this we are subtracting 3 from each numbers

44 - 3 = 41

41 - 4 = 38

Similarly,

26 - 3 = 23

23 - 3 = 20

42) 6, 10, 14, 18, 22, 26, 30

In this we are adding 4 on each numbers

6 + 4= 10

10 + 4 = 14

Similarly,

30+4 = 34

34 + 4 = 38

43)34, 30, 26, 22, 18, 14, 10

In this we are subtracting 4 from each numbers

34 - 4 = 30

30 - 4 = 26

Similarly,

10 - 4 = 6

6 - 4 = 2

44) 2, 44, 4, 41, 6, 38, 8

In this we subtract the alternative number from three and add other alternative with 2 from each numbers

2 + 2 = 4

44 - 3 = 41

4 + 2 = 6

41 - 3 = 38

Similarly,

38 - 3 = 35

8 + 2 = 10

45) 32, 29, 26, 23, 20, 17, 14

In this we are subtracting 3 from each numbers

32 - 3 = 29

29 - 3 = 26

Similarly,

14 - 3 = 11

11 - 3 = 8

46) 14, 14, 26, 26, 38, 38, 50

In this the numbers are repeated and added by 12

14, 14 + 12 = 26

26, 26 + 12 = 38

Similarly,

50, 50 + 12 = 62

47) 8, 12, 9, 13, 10, 14, 11

In this the numbers are added by 1 alternatively

8 + 1= 9

12 + 1= 13

Similarly,

14 + 1 = 15

11 + 1= 12

48) 4, 7, 26, 10, 13, 20, 16

4 + 3 = 7

7 + 3 = 10

26 - 6 = 20

Similarly,

20 - 6 = 14

16 + 3 = 19

49) 3, 8, 10, 15, 17, 22, 24

In this the number are added alternatively with 5 and 2

3 + 5 = 8

8 + 2 = 10

Similarly,

24 + 5 = 29

29 + 2 = 31

50) 17, 14, 14, 11, 11, 8, 8

In this first subtraction of three and then repeat and again subtract three

17 - 3 = 14

14, 14 - 3 = 11

Similarly,

8 - 3 = 5

5, 5

51) 13, 29, 15, 26, 17, 23, 19

In this the alternative number are adding by 2 and subtracting by 3

13 + 2= 15

29 - 3= 26

Similarly,

23 - 3= 20

19 + 2= 21

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HELP I WOULD LIKE SOME TIPS ON HOW TO SOLVE

Answers

Answer:

Slope: 1/4

Step-by-step explanation:

The slope formula is rise/run.

Find the two points at which the line crosses.

Hope this helps :)

Tips: To find the slope, you can find the change in y over the change in x. Pick any two points on the line, for example: (0,3) and (4,4). To find the change in y, take the y value of one ordered pair and subtract it from the other. Then take this value and divide it by the difference of the corresponding x values.

ex:

4-3/4-0

slope: 1/4

You can also count the “rise” over “run” from (0,3). You can see that you move up 1 unit and right 4 units to get to (4,4), meaning the slope is 1/4 (rise 1, run 4)

B A In this figure, AB || CD and m/3 120 What is m/6? D Enter your answer in the box.

Answers

Answer

Explanation

AB is parallel to CD and then, there's a transversal that cuts across the two lines. We are given that Angle 3 = 120°

But we ca see from the figure that Angle 3 and Angle 2 lie on the same straight line.

And we know that the sum of angle on a straight line is 180°.

Hence,

(Angle 3) + (Angle 2) = 180°

120° + Angle 2 = 180°

Angle 2 = 180° - 120°

Angle 2 = 60°

Then again, we can see that AAA

Which list shows the numbers in order from greatest to least?
A 4.232, 4.2, 4.142, 4.1
B 4.1, 4.142, 4.2, 4.232
C 4.232, 4.142, 4.2, 4.1
D 4.2, 4.232, 4.142, 4.1

Answers

Answer:

ignoring the decimal. The order from greatest to least is 2, 4, 5, 6, and 8

Express each number in scientific notation.
1) 0.0056
3) 4,085
5) 0.000796
Standard and Scientific Notations
50,413
11
11
2) 24,010
4) 0.017
6) 952
8) 0.004

Answers

Answer:

Express each number in scientific notation.

1) 0.0056 = 5.6 × 10^-3

3) 4,085 = 4.085 × 10³

5) 0.000796 = 7.96 × 10^-4

Standard and Scientific Notations

50,413 = 5.0413 × 10^4

11 = 1.1 × 10^1

11 = 1.1 × 10^1

2) 24,010 = 2.401 × 10^4

4) 0.017 = 1.7 × 10^-2

6) 952 = 9.52 × 10^2

8) 0.004 = 4 × 10^-3

what is the value of the range of function f (x)=x2+2 for the domain value 1/4

Answers

The range of the given function f(x) = x² + 2 is found as 33/16.

What is called the domain and range of the function?A relation's domain and range are defined as the sets of all x-coordinates and all y-coordinates of ordered pairs, respectively. The domain as well as range of the a function are function components. The domain of a function is the set of all its input values, and the range is the function's possible output. Domain→ Function →Range.

For the given question.

The function is given as;

f(x) = x² + 2

The range of the function for the domain of 1/4.

From the definition of domain put x = 1/4 in the function, the range will be obtained.

f(1/4) = (1/4)² + 2

f(1/4) = 1/16 + 2

f(1/4) = 33/16

Thus, the range of the given function f(x) = x² + 2 is found as 33/16.

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86.177 Rounded to the nearest hundredth.

Answers

To round something to the nearest hundredth, you look at the third digit past the decimal place in this case 7. It is above 5 so you add 1 to the digit before it.

In this case, the final answer is 86.18

Katie bought a piece of fabric that was 8.5 meters long. Then she cut 0.32 meters of it off to use in a sewing project. How much fabric is left?

Answers

Answer:

8.18

Step-by-step explanation:

Answer:

8.18

Step-by-step explanation:

8.50

-0.32=8.18

you subtract 0.32 from 8.5 meaning you are going to add a zero on 8.5 because the number that you are subtracting has two numbers after the decimal point

Suppose you have health insurance that is partially funded by the company you work for. They have agreed to pay 85% of your coverage. What percent of your insurance coverage will you be paying? Show your work.

Answers

The Solution.

Your company partially funds 85% of the total coverage. That gives

[tex]85\text{ \%}[/tex]

The percent of the insurance coverage that will be paid by you is

[tex]100-85=15\text{ \%}[/tex]

Thus, the correct answer is 15%.

What is the slpoe of the line with equation y -3 = 1/2 (x-2)

Answers

Answer:

the slope is 1/2

when you rewrite the equation in slope intercept form it will be

y= 1/2x +2

Describe in words a sequence of transformations that maps △ABC to △A^' B^' C^'.
Write an ordered-pair rule for this sequence of transformations.

Answers

If sequence of transformations that maps △ABC to △A^' B^' C^'.The sequence of transformation is 90 degrees counterclockwise rotation, followed by a vertical translation to the right by 2 unit. The ordered pair-rule for each are  (x,y) tends to (-x,-y)

What is Transformation ?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Image is the original shape of the object and final shape ond position of the object is the preimage.

In the given figure,

original image is △ABC and  △A^' B^' C^' is the preimage.

Transformation includes changing the position of a shape.

The steps followed for transformation include rotating the image to 90 degrees counterclockwise rotation, later by a vertical translation to the right by 2 unit.

The ordered pair-rule for each are  (x,y) tends to (-x,-y)

Hence △ABC is the original image and  △A^' B^' C^' is the preimage and The ordered pair-rule for each are  (x,y) tends to (-x,-y)

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I really need help please and thx
worth about 14 points​

Answers

Answer:

The answer is -71.124

Step-by-step explanation:

Since there is a subtraction sign next to a negative it becomes addition.

so the equation becomes -95.004 + 23.88 which were going to flip around to 23.88 - 95.004

So,

     23.880

  -  95.004

-------------------

       -71 .124

G=30 and h=6 and g/5-h

Answers

Composition Functions

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

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