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

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.

Answers

Answer:

$1

Step-by-step explanation:

Sorry the first x is blank

The second x:

$5.06-$2.06=$3

3/3=$1

Use the area model to multiply

1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.

Answers

Answer:

no porque algunproblemw

Is -4/19 equivalent to 4/-19

Answers

Answer:

Yes.

Step-by-step explanation:

Answer:

no.

Step-by-step explanation:

-4/19 is completely different to 4/-19.

Im not sure how to word it but they are two completely different numbers.

The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.

Answers

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

A can of soup is a cylinder with diameter 7 cm.

The can is 10 cm high

The can is full of soup

soup

The soup is poured into a saucepan.

The saucepan is a cylinder with diameter 12 cm.

Work out the depth of the soup in the saucepan.

Give your answer correct to 1 decimal place.

Answers

Answer:

3.4 cm

Step-by-step explanation:

We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.

Cylinder volume: πr²h

r = 0.5 * diameter

volume of soup: π(3.5)²10 ≈ 384.845

volume of soup in saucepan: 384.845

For saucepan:

πr²h = π(6)²h = volume = 384.845

36πh = 384.845

divide both sides by 36π to isolate h

h ≈ 3.4 cm

Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)

(−9, −6)

(−8, −2)

(0, −12)

(4, −20)

Answers

Answer:

(-10,8)(0,12)(4,-20)

Step-by-step explanation:

You just have to insert the points into the equation and then solve.

Ex: 2(4)-20=-12- True

A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage

Answers

Ok read first heheheh where

1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? ​Plzz help me

Answers

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form

Answers

Answer: y = 1/2x + .75

Step-by-step explanation:

Slope-intercept form: y = mx + b

Step 1: Find the slope.

Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]

[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]

To solve for the fractions you need a common denominator.

[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]

[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]

To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).

[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]

Step 2: Plug slope and a point into y=mx+b to solve for b.

[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b

[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b

[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b

[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]

b = .75

y = [tex]\frac{1}{2}+.75[/tex]

Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.​​

Answers

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

What value of x makes this equation true? 12x minus 15 = 6 minus 3x.

Answers

Answer:

x = 1.4

Step-by-step explanation:

12x - 15 = 6 - 3x

12x + 3x = 6 + 15

15x = 21

x = 1.4

Check:

12(1.4) - 15 = 1.8

6 - 3 (1.4) = 1.8

The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4

Given:

12x minus 15 = 6 minus 3x

12x - 15 = 6 - 3x

collect like terms

12x + 3x = 6 + 15

15x = 21

x = 21 / 15

x = 1.4

Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4

Learn more about equation:

https://brainly.com/question/4916384

I rlly need help on this homework

Answers

Hi there! :)

First, let's use the Distributive Property.

It states that

a(b+c)=ab+ac

Therefore

5(2h+8)=10h+40

10h+40<60

Move all the numbers to the right, using the opposite operation:

10h<60-40

10h<20

h<2

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen whose hobby is helping others

Good luck.

Hey there!

5(2h + 8) < 60

= 5(2h) + 5(8) < 60

= 10h + 40 < 60

SUBTRACT 40 to BOTH SIDES

= 10h + 40 - 40 < 60 - 40

CANCEL out: 40 - 40 because it gives you 0

KEEP: 60 - 40 because it helps solve for the h-value.

NEW EQUATION: 10h < 60 - 40

SIMPLIFY IT!

= 10h < 20

DIVIDE 10 to BOTH SIDES

= 10h/10 < 20/10

CANCEL out: 10/10 because that gives you 1

KEEP: 20/10 because it gives you the result of the h-value

NEW EQUATION: h < 20/10

SIMPLIFY IT!

= h < 2

Therefore, your answer is: h < 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes​

Answers

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Write the formula of the sinusoidal function (CORRECT ANSWER WILL BE MARKED BRAINLIEST)

Answers

Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

-
If f(9) = - 3, write a corresponding ordered-pair solution.

Answers

Answer:

(9,-3)

Step-by-step explanation:

u just have to plug it up


Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+

Answers

Answer:

10x+5

Step-by-step explanation:

You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.

Answer:

5[tex]x^{4}[/tex] (x - 3)(x - 2)

Step-by-step explanation:

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term

= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 3 and - 2 , then

x² - 5x + 6 = (x - 3)(x - 2)

Then

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form

Please HELP!!!

What are the first 4 terms of the arithmetic sequence in the graph?

Enter your answers in the boxes.

_,_,_, and _


Answers

Answer:

- 3, 1, 5, 9

Step-by-step explanation:

The first 4 terms are the values of y corresponding to x = 1, 2, 3, 4 , that is

(1, - 3 ) , (2, 1 ) , (3, 5 ) , (4, 9 )

first 4 terms are - 3, 1, 5, 9

helppppppppppppppppppppppppppppp

Answers

Answer:C

Step-by-step explanation:

I seraph it up

Answer:

Latisha works x hours a day.

No. of hours Demetrius works = x+1 a day.

No. of working days a week = 5

No. of hours Demetrius works weekly =

= 5(x+1)

which can also be written as 5x+5

So the c option is correct.

Which equation represents the line that has a slope of 1/2 and
contains the point (0, 3)?
A y = 1/3x + 1/2
B y = 3x + 1/2
C y = 3/2x
D y = 1/2x + 3

Answers

Answer:

Solution given:

slope(m)=½

passing through point (x',y')=(0,3)

now

equation of a line is:

y-y'=m(x-x')

y-3=½(x-0)

y=½x+3

D.y=½x+3 is a required equation of a line.

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).

pls help me with this:((((​

Answers

Answer:

See image

Step-by-step explanation:

Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.

The m is the slope, that is the number in front of the x.

The b is the y-intercept, that is the number added on at the end of the equation.

I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)

Answers

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.

2(3.4 – 2.1) + 4.1

Which statement is true?

Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.

Answers

Sarah performed the first step correctly.

Given the function that Sarah performed as:

[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]

To simplify the function, the first step Sarah carries out is to divide the numerator by 2:

[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]

This shows that Sarah performed the first step correctly.

Learn more on decimal here: https://brainly.com/question/20123476

Please help me with this it’s is urgent

Answers

Answer:

the nominator could be any number here

Step-by-step explanation:

what do you need ? the equation itself is true, if you put the same number in both places above 21.

any number is possible there, it will not change the equation.

so, again, I am not sure, what you need here.

let's write it with a variable to make my statements clearer :

9 + 1 x/21 = 10 x/21

that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.

and then we add the fraction again (x/21).

again, you can put any number instead of x, and it will always be true.

example

9 + 1 4/21 = 10 4/21

Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3

Answers


What is the true meaning of Christmas?

Answer:

fun fact

Step-by-step explanation:

I celebrate on christmas eve :)

german tradition

thanks and to you as well ^-^

a scale model of a building 8 inches tall. if the actual height of the building is 496 feet. what is the scale

Answers

Answer:

8 inches= 62 ft

Step-by-step explanation:

496 divided by 8

Find the value of the expression 8a +b, if a=3 and b= 1

a) 23 b) 29 c) 30 d) 25

Answers

8a + b

a=3

b=1

(8×3)+1

=24+1

=25

the answer is d)25

Select the equation that contains the points (-1, -8) and (3, 4).

Answers

show us the equations
show us the equation

which expression simplies to 40x10?

Answers

Answer:

i think its 4*1

Step-by-step explanation:

hope this helps

have a great day

~Zero~

Answers

Explainations

Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?

Answers

Answer:

B. (2/3) x (2/3) x (2/3)

C. 8/27

D. 2^3 /3^3

hope this helps

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