Find AE if AB=12, AC=16, and ED=5.

Find AE If AB=12, AC=16, And ED=5.

Answers

Answer 1

Answer:

the ratio is 12:16=3/4

So AE:5+AE=3/4

4AE=15+3AE

AE=15

Step-by-step explanation:

Answer 2

The length of the line segment AE is 15 units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In a triangle if one segment is parallel to one side of a triangle divides the other two sides in the ratio of their corresponding lengths.

Given, AB = 12, AC = 16 and ED = 5, hence BC = AC - AB = 4.

Therefore, AB/BC = AE/ED.

12/4 = AE/5.

4AE = 60.

AE = 15 units.

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Related Questions

Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer

Answers

Add them up and you get 365°


Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

2x-4=3^x+1


A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5

Answers

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

Answer:

D. x ≈ 2.5

Step-by-step explanation:

Helppppppppppppppppppp I’ll mark you brainlist

Answers

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

Find 39.5% of 373. Round to the nearest hundredth

Answers

39.5% of 373. is 147.336

5x + 1 = 56

Solving 2 step equations?

Answers

Answer:

the x would equal to 11 ,so x=11

37 degrees Celsius to Fahrenheit ​

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below

Answers

Answer:

90 feet is the total distance,the total time will be the x value of the function's zero

Step-by-step explanation:

The two large squares below each represent 1 unit
0.26 + 0.6

Answers

Answer:

0.26+0.6=0.86

Step-by-step explanation:

Dawson baked one pie in 7/12 of an hour. How long will it take Dawson to bake 9 pies

Answers

Answer:

Explanation:

1 pie takes 7/12 of an hr

9 pie = 9(7/12)
9 pie = 21/4 = 5 1/4 hr = 5hr 15 minutes

Mark plans to save 2.50 each week until he saves 75.00.He uses this equation to represent the number of weeks

Answers

Answer:

2.5x = 75

Step-by-step explanation:

What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Answers

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

Which system of inequalities has no solution?

Answers

Answer:

i think c

Step-by-step explanation:

In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Answers

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

There are two numbers that
multiply to -45 and combine to 12. Find
the two numbers, then the LARGER
number is your answer for this question.

Answers

Answer:

The large number is 15

Step-by-step explanation:

15 * (-3) = -45

15 + (-3) = 12

Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.


1. Are they correlated? Explain your reasoning.

2. Does either of the variables cause the other to change? Explain your reasoning.

Answers

Answer:

Positive correlation exists ;

Number of Steps taken will cause heart rate to increase.

Step-by-step explanation:

Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.

Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.

Correlation between number of steps taken and heart rate.

Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

Learn more about correlation coefficient on:

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Solve the simultaneous equations.
Please help.

Answers

Answer:

the answer is x= 5 and y = 1.5

Answer :Value of x is 5 Value of y is 1.5Explaination :

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)

From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC

Answers

Answer:

it is b sorry I tried to work out it best have a nice day

Answer:

a=

Step-by-step explanation:

Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?

Answers

Answer:

They are perpendicular to each other.

Step-by-step explanation:

It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.

Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.

Answer: C they are perpendicular to each other

Step-by-step explanation:

I took the test and got C

B
27 m
24 m
18 m
List angles largest to smallest

Answers

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

Please help with what you can!

Thank you!

Answers

Answer:

The answer to number 9 is: 148.16

can somebody answer it for me please. simplify and it can only contain positive exponent.

Answers

Answer:

1/2m^12

Step-by-step explanation:

simplify the expression :

m^-6/2m^3 x m^3

1/2m^9 x m^3

solution: 1/2m^12

sorry its really hard to explain the steps but I hope I helped you :)

Answer:

[tex]\frac{1 }{2m} ^x{12}[/tex]

Step-by-step explanation:

just take away the X

Find the product of (x − 3)2.

x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9

Answers

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth

Answers

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

how many terms are in this expression 5b+26t-72

Answers

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72

someone give the worked solution for this please!!!!

Answers

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

Please help!! Pleaseeee​

Answers

Answer:

pretty sure its the first and 3rd one sorry if im wrong

Step-by-step explanation:

HELP!!! I need help with this question

Answers

Answer:

90 90909090909090909090909090

(4X + 7) X [5(X - 40)]

Answers

Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

please help me i need help

Answers

Answer:

21/8 cups of vegetables per cup of cheese

Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)

Answers

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

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