solve similar triangles (advanced)

Solve Similar Triangles (advanced)

Answers

Answer 1

Answer:

12 =x

Step-by-step explanation:

We  can use proportions to solve

6           x

---- = -------

10        10+10

Using cross products

6 ( 10+10) = x*10

6*20 = 10x

120 = 10x

Divide by 10

120/10 = x

12 =x

Answer 2

Answer:

x = 12

Step-by-step explanation:

ABC ~ ADE

AB/AD = BC/DE

 10/20 = 6/x

x = 20 x 6 ÷ 10

x = 12


Related Questions

Which inequality represents this statement?

A number is no more than 5.


n<5

n≥5

n>5

n≤5

Answers

Answer: the last one!! [tex]n\leq 5[/tex]

Step-by-step explanation:

When there is a line under it means no more than!

9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?

b) On another trip, he used 9 gallons of gas. How far did he travel?

Answers

Answer: 38 miles per gallon ; 342 miles.

Step-by-step explanation:

The miles/gallon that he got on the trip will be:

= 228/6

= 38 miles per gallon.

When he used 9 gallons of gas, the distance travelled will be:

= 38 × 9

= 342 miles

Answer:

Question :

Jamar drove 228 miles and used 6 gallons of gas.

a) How many miles/gallon did he get on the trip?b) On another trip, he used 9 gallons of gas. How far did he travel?

Solution :

a) How many miles/gallon did he get on the trip?

[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]

[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]

[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]

Hence, he get 38 miles/gallon for his trip.

[tex]\rule{200}2[/tex]

b) On another trip, he used 9 gallons of gas. How far did he travel?

[tex]{\implies{\sf{38 \times 9}}}[/tex]

[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]

Hence, he traveled 342 miles by using o gallon og gas.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

2(2c+12)=68
Using the opposite steps, inverse operations, solve for the value of the variable

Answers

[tex]\huge\boxed{Good\:evening!:)}[/tex]

2(2c+12)=68

4c+24=68

4c=68-24

4c=44

Divide both sides by 4:

c=11

[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\huge\sf{Good\:luck.}[/tex]

[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]

9. Determine whether the parallelogram is a rectangle, square, or rhombus. G(-4,3), D(2,1) F(-5, 0) and E(1, -2)​

Answers

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

FG's slope is the opposite reciprocal of GD's, so they are perpendicular. The same with the other sides.

The opposite sides have the same length.

given a isotope with a 3 charge, a mass number of 28, and an atomic number of 13, what are:

Answers

Answer: The element described is aluminum.

Find 34−13.95 . Express your answer in decimal form.

Answers

Answer:

34-13.95 = 20.05

Step-by-step explanation:

Answer:

20.05

Step-by-step explanation:

34 - 13.95 = 20.05

Graph the line with the equation
y = -1/3x + 4.

Answers

Answer:

Answer in the image

Step-by-step explanation:

Which expression is equivalent lo the following complex fraction?

Answers

Answer:

[tex] \frac{ - 1}{2} [/tex]

Hope this helps you !!

Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above $377. How many weeks will Sonja's balance remain above $377? Select from the drop-down menu to correctly complete the statement. Sonja's balance will remain above $377 Choose... v weeks.​

Answers

Answer:

12 Weeks

Step-by-step explanation:

$1400 - $377 = $1023

1023 / 85.25 = 12 Weeks

Answer:

Its will take Sonja 12 weeks

Step-by-step explanation:

help me answer please

Answers

Answer:

Sorry

Step-by-step explanation:

5+2x=2x+6

do anyone know the answer

Answers

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

solve for x
2x +2 <14

Answers

2x + 2 < 14

2x < 12

x < 6

Hope this helps!
Brainliest is much appreciated!

Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c

Answers

Answer:

y = 2x + 9.

Step-by-step explanation:

Using the point-slope form:

y - y1 = m(x - x1)   where m = the slope and (x1, y1) is a point on the line.

So here we have:

y - 1 = 2(x - (-4))

y - 1 = 2(x + 4)

y - 1 = 2x + 8

y = 2x + 9.

pls help!!!!!!! its applications in pre calc

Answers

The total weight W of such a plane is equal to

W = w + gf

where

w = weight of plane without fuel

g = number of gallons of fuel

f = weight of 1 gallon of fuel.

When carrying g = 10 gallons, the total weight is W = 1955, so

1955 = w + 10f

When carrying g = 42 gallons, the weight is W = 2131, so

2131 = w + 42f

We want to find W when g = 52, and to do this we first need to find the weight of the plane w and the weight of 1 gallon of fuel f.

Solve the system of equations,

w + 10f = 1955

w + 42f = 2131

We can combine the equations like so to eliminate w and solve for f :

(w + 42f) - (w + 10f) = 2131 - 1955

32f = 176

f = 11/2 = 5.5

Then solving for w, we get

w + 10 (5.5) = 1955

w + 55 = 1955

w = 1900

So, when the plane carries g = 52 gallons of fuel, the total weight is

W = 1900 + 52 (5.5) = 2186

II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9​

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

y varies directly as x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 32 when x = 2

32 = k × 2² = 4k ( divide both sides by 4 )

8 = k

y = 8x² ← equation of variation

When x = 5 , then

y = 8 × 5² = 8 × 25 = 200

(2)

Given F varies inversely as d² then the equation relating them is

F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition F = 18 when d = 10

18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )

1800 = k

F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation

When d = 15 , then

F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8

(3)

y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

when x = 3, y = 6, z = 9 ,then

y = 6 × 3 × 9 = 162

larry needs to change a lightbulb in the ceiling Larry liens a 16 foot ladder against a wall with its base 5 feet away from the wall which is closest to the distance of the height of the wall to the top of the ladder
A 3 feet
B 11 feet
C 15 feet
D 17 feet

Answers

Well the only thing that i see that is logical is B 11 feet but its kinda hard to understand the problem so im gunna say B

The solution is Option C.

The height of the wall to the top of the ladder is 15 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Let the height of the wall be represented as h = AB

Now , Larry liens a 16 foot ladder against a wall

So , the hypotenuse of the triangle AC = 16 feet

And , the base is 5 feet away from the wall

So , the base of the triangle BC = 5 feet

The height of the wall h is given by the Pythagoras theorem ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

16² = AB² + 5²

On simplifying the equation , we get

Subtracting 5² on both sides of the equation , we get

AB² = 16² - 5²

AB² = 256 - 25

AB² = 231

Taking square root on both sides of the equation , we get

AB = 15.19

AB ≈ 15 feet

Therefore , the value of h is 15 feet

Hence , the height of the wall is 15 feet

To learn more about triangle click :

https://brainly.com/question/16739377

#SPJ2

I need help with this question

Answers

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Answers

The value of a in terms of b is given as [tex]a = 8b^3[/tex]

Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

We are to solve the equation for the variable "a"

Given;

[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

Cross multiply

[tex]2b=\sqrt[3]{a-1}[/tex]

Cube both sides of the equation:

[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]

Add 1 to both sides of the equation:

[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]

Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]

Learn more on subject of formula here: https://brainly.com/question/657646

i really need your help on this

Answers

Answer:

That is an improper fraction

Step-by-step explanation:

When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper

Hope this helps!

Answer:

Improper fraction

Step-by-step explanation:

Based on the Rational Zero Test, which of the following is
NOT a possible zero of f(x) given below after the reciprocal
of LCD is factored out?

f(x)=x^3 -5x + (2/5)

(A) 1/2
(B) 1/5
(C) 1
(D) -1

Answers

The rational zero test is also known as the rational root test, and it is used to determine the potential root of a function.

(a) 1/2 is not a possible zero of the function

The function is given as:

[tex]f(x) =x^3 - 5x + \frac 25[/tex]

For a function,

[tex]f(x) = px^n +......q[/tex]

The list of possible roots is:

[tex]Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

Multiply both sides of [tex]f(x) =x^3 - 5x + \frac 25[/tex] by 5

[tex]5f(x) = 5x^3 - 25x + 2[/tex]

So, we have:

[tex]p= 5[/tex]

[tex]q = 2[/tex]

The factors are:

[tex]p =\pm 1, \pm 5[/tex]

[tex]q =\pm 1, \pm 2[/tex]

So, the possible roots are:

[tex]Roots = \pm\frac{1,2}{1,5}[/tex]

Split

[tex]Roots = \pm1, \pm \frac 15, \pm 2, \pm \frac 25}[/tex]

Hence, 1/2 is not a possible zero of the function

Read more about rational zero test at:

https://brainly.com/question/12860313

The square of a number minus twice the number is 48. Find the number.

Answers

Answer: 8 or -6

Step-by-step explanation:

x^2 - 2x = 48

x^2 - 2x - 48 = 0

(x-8)(x+6) = 0

x = 8 or -6

WILL GIVE YOU 50 POINT
Find M AFE.

Answers

Answer:

The answer is C

Step-by-step explanation:

25 + 57 + 34 = 116, so at least 116, not 116.

The angle is close to 90+45 = 135

assuming with this, the asnwer is C

Answer:

B. 173

Step-by-step explanation:

just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing

The relationship between y and x is 9/3 which table represents this relationship and why?

Answers

Answer:

First one

Step-by-step explanation:

For every 1 in x the y goes up by 3

Write
48
:
132
:
84
in its simplest form.

Answers

Answer:

4:11:7

Step-by-step explanation:

Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12

Answer:

4:11:7

Step-by-step explanation:

please mark me as brainlest

00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts

Answers

Answer:

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Step-by-step explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5  True


Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
C.
y = x + 12
D.
y = x - 12
E. y = 1
x

Answers

Answer:

Please check your post.  I did the best I could.

Step-by-step explanation:

A.   y = 2x                   4 = 2*(16)?     Nope

B. y=x?          I don't understand the equation:  y = x? 2 = x?????        

C.   y = x + 12              4 = 16 + 12?   Nope

D.   y = x - 12               Same???

E.  y = 1 x                   4 = 16?             Nope

Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other

Answers

D) a side of one is congruent to side of the other

Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)

Now we only need one side of it congruent .

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

The system of equations
c=52+8d
c−3d=82

can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?

Answers

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

Need help SOS l don’t understand

Answers

Answer:

−5<n≤2 I think, I don't really understand the question either I'm sorry!!!!

Let $F,$ $G,$ and $H$ be collinear points on the Cartesian plane such that $\frac{FG}{GH} = 1.$ If $F = (a, b)$ and $H = (7a, c)$, then what is the $x$-coordinate of $G$?

Answers

F, G, and H all lie on the same line. If FG/GH = 1, then FG = GH, which is to say the distance between F and G is equal to the distance between G and H. This means either F and H are the same point, or G is the midpoint of F and H.

They're not the same point, because the x-coordinate of H is 7 times that of F. So G must be halfway between F and H.

Then the x-coordinate of G is

(a + 7a)/2 = 8a/2 = 4a

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