find x and y for this triangle

Find X And Y For This Triangle

Answers

Answer 1

Answer:

x = 1.25

x = 1.75

Step-by-step explanation:

I marked the points of this triangle in the attached image so it's easier to explain.

ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.

[tex]\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}[/tex]

The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.

[tex]\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25[/tex]

Now, you can do the exact same thing for y:

[tex]\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75[/tex]

Find X And Y For This Triangle

Related Questions

Find the value of x. Please help me. I can’t find the answer.

Answers

Answer:

Step-by-step explanation:

The two sides opposite the angles marked as equal are themselves equal

4x + 8 = 48 - x                 Add x to both sides

4x + x + 8 = 48                Combine

5x + 8 = 48                      Subtract 8 from both sides.

5x + 8 - 8 = 48 - 8           Combine

5x = 40                            Divide by 5

5x/5 = 40/5

x = 8

Form 8B were investigating how a metal bar expands while being heated. The bar

was originally 30 cm in length and it expanded to 31.75 cm.

Calculate the percentage increase in length. Give your answer correct to 1 decimal

place.

Answers

Answer:

5.8%

Step-by-step explanation:

to work out percentage increase:

(new value - original value) ÷ original value and times it all by 100

((31.75-30) ÷ 30) × 100

=5.8% (1dp)

Find 66.9% of 160.6. Round to the nearest thousandth.

Answers

Answer:

160 is the answer I just toke the quiz

the answer is 107.441

please help finals study guide​

Answers

I
Dont seee any picture

Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in
this fundraiser?

Answers

The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies

The total mass of all the pennies = 2,400g

But two (2) pennies = 5g

Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.

That is: 2 pennies = 5g

x pennies = 2,400g

Making x the subject of formula,

[tex] x = \frac{2 \times 2400}{5} [/tex]

[tex]x = \frac{4800}{5} [/tex]

[tex]x = 960[/tex]

Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.

Learn more here:

https://brainly.com/question/294036

The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.

Answers

Answer:

67!

Step-by-step explanation:

A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.

My numbers were 62+63+64+65+66+67=387

I hope this makes sense!

i need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.


(a) How many calories is Pablo burning per minute?

(b) what is the slope of the graph?

Answers

A) He is burning 5 calories per minute
B) The slope is 5

Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)

Answers

Answer:

$6.70

Step-by-step explanation:

Adrian purchases a book for 4.86 and a poster for 3.44

The total amount he owes would be 4.86 + 3.44 = $8.30

If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.

x+y=5
x-1=y
Please help

Answers

This is a simultaneous equation

Rearrange the second to give

x - y = 1

Add the two equations

(x + y) + (x - y) = 5 + 1

2x = 6
x=3

Substitute 3 into either equation

3 - 1 = y

y = 2

Solve the inequality.
3x + 5
———- <4
2

x < [?]

Answers

Answer:

[tex]x \leqslant 1[/tex]

Step-by-step explanation:

first multiply both side by 2 to get rid of the fraction

[tex]3x + 5 \leqslant 4(2)[/tex]

[tex]3x + 5 \leqslant 8[/tex]

[tex]3x \leqslant 8 - 5[/tex]

[tex]3x \leqslant 3[/tex]

[tex]x \leqslant 1 [/tex]

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

Answers

Answer:

tha.nks for the p.oints buddy!

4.
ind
home
Julio won a contest. His cash prize is given to him in the following way:
On the first day, Julio will receive $0.25.
For each successive day, the amount of money Julio receives doubles.
a. Write an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day.
b. How much money will Julio receive on the tenth day?

Answers

Julio will receive $ 128 on the tenth day.

Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:

0.25 x 2 ^ D = F 0.25 x 2 ^ 9 = F 0.25 x 512 = F 128 = F

Therefore, Julio will receive $ 128 on the tenth day.

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CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

135

Step-by-step explanation:

bc its the right answer

Answer:

the answer is 138.57 so ur answer would be 135

Step-by-step explanation:

can anyone please help?​

Answers

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

Discuss how to convert 15 in. to yd. (need ko po nganon)

Answers

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

Please answer 1 and 2
Will mark brainliest!!!!

Answers

Answer:

parallelnot perpendicular

Step-by-step explanation:

1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2

Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...

  m = (8 -6)/(4 -0) = 2/4 = 1/2

The slopes of lines P and O are the same, so the lines are parallel.

__

2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...

  m = (2 -6)/(2 -0) = -4/2 = -2

Points on line K appear to be (0, 4) and (10, 10). Its slope is ...

  m = (10 -4)/(10 -0) = 6/10 = 3/5

If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.

Cell phone production engineers have noticed that among a group of 138 customers aged 14-23 who send more text messages tend to use a higher percentage of their phone’s memory.What are the explanatory variable and response variable for this relationship?

Explanatory variable: age of customer
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: age of customer
Explanatory variable: number of text messages sent
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: number

Answers

Answer:

it is c my guy

Step-by-step explanation:

on edge2020

The explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used. The correct answer is (C)

What is the independent and dependent variable?

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

In this situation, the explanatory variable is the number of text messages sent, because it is believed to influence or "explain" the variation in the response variable, which is the percentage of phone memory used.

The explanatory variable is also sometimes called the independent variable, because it is the variable that is being manipulated or controlled in an experiment. The response variable is also sometimes called the dependent variable, because it is the variable that is believed to depend on the explanatory variable.

Therefore, in this problem, the explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used.

Learn more about the independent and dependent variables here:

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#SPJ2

Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

it will be 1974

Step-by-step explanation:

2100*6/100

=126

Answer:

1997.08 pounds at the beginning of 6 years.

Step-by-step explanation:

If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.

1st year - 2100*.01 = 21  

2100-21 = 2079

2nd year - 2079*.01 = 20.79

2079 - 20.79 = 2058.21

3rd year - 2058.21*.01 = 20.58

2058.21-20.58 = 2037.63

4th year - 2037.63*.01 = 20.38

2037.63-20.38 = 2017.25

5th year - 2017.25*.01 = 20.17

2017.25 - 20.17 = 1997.08

6th year - at the beginning of the 6th year, it would be worth 1997.08.

At the end of the 6th year, it would be: 1997.08*.01 = 19.97.  1997.08-19.97 = 1977.11

What would be the inverse function of g(x)=1/x-1 ? Thanks in advance.

Answers

Exchanging x and y and isolating y, it is found that the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

The function given is:

[tex]g(x) = y = \frac{1}{x - 1}[/tex]

To find the inverse function, we exchange x and y and isolate y, hence:

[tex]x = \frac{1}{y - 1}[/tex]

[tex]x(y - 1) = 1[/tex]

[tex]xy - x = 1[/tex]

[tex]xy = 1 + x[/tex]

[tex]y = \frac{1 + x}{x}[/tex]

Hence, the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

You can learn more about inverse functions at https://brainly.com/question/16485117

7 1/2- 3 7/10 or Seven and a half subtract three and seven tenths.

Answers

Answer:

3.8 is the answer to your problem. Happy Holidays!

At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?

Answers

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies


What is 2/3 of 9/12?

Answers

Answer:

0.5 in fraction form its 1/2.

Step-by-step explanation: hope this helps you <3.

That means
2/3 x 9/12.

So multiply numerators and denominators

18/36

Simplify

1/2

Hope this helps!
Brainliest and a like is much appreciated!

TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9

Answers

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

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can sommeone help solve equation

Answers

Step-by-step explanation:

3x + 10 < 3

3x + 7 < 0

3x < -7

x < -7/3 = -2.3333...

or

2x - 5 >= 5

2x >= 10

x >= 5

x < -7/3 or x >= 5

Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer:

Mai's ride is 1.5 times longer than Noah's

Step-by-step explanation:

The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0

Answers

Answer:

See below

Step-by-step explanation:

A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).

B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).

Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km



A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°

Answers

Answer:

1) C = 105.8°

Step-by-step explanation:

pls pls help i need help

Answers

Answer:

3 m/s/s

Step-by-step explanation:

F = ma

28 = 4m

m = 7

m is constant throughout

21 = 7a

a = 3

3 m/s/s

Find the inverse of

Answers

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x

Hope that helps

Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125

Answers

Answer:

an = 60 x 1/5^n-1

Step-by-step explanation:

correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.

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