solve similar triangles (advanced)

Solve Similar Triangles (advanced)

Answers

Answer 1

Answer:

x = 3/2

Step-by-step explanation:

ΔACB ≈ ΔAED due to hypotenuse-leg theorem

therefore, BC/BA = DE/AD

4/6 = 5/(x+6)

cross-multiply to get:

4(x+6) = 6(5)

4x + 24 = 30

4x = 6

x = 6/4 or 3/2

check:

4/6 = 5/7.5; the cross-products are both equal to 30


Related Questions

The nth term of the sequence 27,37,47

Answers

Answer: The 9th term of the sequence 27,37,47 is 107.

What is the mean of 9, 8, -15 and -12?

The Mean is:

Answers

Answer:

-2.5

Step-by-step explanation:

add all the values and divide by the no of values present

A triangle has interior measures of 45° and 50°. What is the measure of the third angle?
950
850
90°
50

Answers

Answer:

85 degrees

Step-by-step explanation:

the inside of a triangle is always 180 degrees.

180-45-59=85

I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks​

Answers

no thank you IoI, good luck tho <3

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1

which inequality is a true statement select each correct answer

Answers

Answer:

A. False

B. True

C. False

D. False

E. True

Hope This Helps!!!

a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?

Answers

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD

B. EF

C. ED

D. CA

Answers

Answer:

EF

Step-by-step explanation:

BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.

Answer:

EF

Step-by-step explanation:

The corresponding side to BC is EF.

Look at the bolded letters

ABC DEF

notice the similarities?

The manger of a water park keeps track of the amount of money collected, M, and the number of tickets,T, each day.

Answers

Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.

Write TWO different equations that you could use to solve for x. You don't need to solve.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)

The 3rd angle in the triangle is

180° - (90 + 52)° = 180° - 142° = 38°

Using the sine ratio in the right triangle

sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)

PLEASE HELP I"LL GIVE BRAINLEAST

Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?

7.0% tax rate

7.5% tax rate

8% tax rate

6.5% tax rate

Answers

Answer:

7.5 % Tax rate

Step-by-step explanation:

I used used the calculator to figure out the rate

$2,400 X 7.5%= 180

7.5 percent tax rate because if you subtract $2,400 -118 you get 7.5

The slope of the line below is - Write a point-slope equation of the line
using the coordinates of the labeled point.
(4,4)
10
A. y+ 4 = (x+4)
O B. y+4= - (x + 4)
O C. y 4 = (x - 4)
OD. y-4 = -(x-4)

Answers

Answer:

D.

Step-by-step explanation:

pint slope form:

(y-y1)=m(x-x1)

do just olug in the point and the slope into the equation

(y-4)= -8/7 (x-4)

13. An amusement park drafting engineer must create a small
Ferris wheel with 12 cabs total, each equally spaced apart to
balance the wheel. How many degrees apart should each cab be?

Answers

Answer:

30 degrees

Step-by-step explanation:

a ferris wheel is a circle

the degree of a circle is 360

360/12=30

30 degrees each

pls help me with my maths if you can​

Answers

Answer :

A) R- d✖️5= x

B) m/4 - b = x
Ok done. Thank to me :> ✅

quotient of 2 2/3 and 3 1/2

Answers

Answer:

16/21

Step-by-step explanation:

which net represents this rectangular prism?

Answers

Answer:

Top left

Step-by-step explanation:

equation of the line that passes through (7,-1) and (-3,-1)

Answers

Answer:

y = - 1

Step-by-step explanation:

Note the y- coordinates of both points are equal, both - 1

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (7, - 1 ) and (- 3, - 1 ) with y- coordinates - 1 , then

y = - 1 ← equation of line

Can someone plz help Me?

Answers

Answer:

A and C

Step-by-step explanation:

What is 6 percent of 200 plz show your work

Answers

Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

200 * 0.06 = 12

will mark brainleist pls hep

Answers

Answer: 242

Brainliest plsssssss

Answer : 242………………..

I do not know how to answer these questions, can someone explain what I would do to solve them? ​

Answers

Answer:

Step-by-step explanation:

A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?

0.10
0.29
0.39
0.90

Answers

Answer:

0.90

Step-by-step explanation:

I’m doing the unit test

Answer:

0.29

Step-by-step explanation:

The probability that they brought both is .90

The probability of neither is .29, which is what this question is asking

Convert the equation g(x) = −(x − 7)2 +5 into standard form.

Answers

Answer:

7

Step-by-step explanation:

You have to add 2 and 5, the rest is stuff to distract you

helppppppppp[pppppp[pppppppppp

Answers

Answer:A

Step-by-step explanation:i mean that sound logiclity correct

2+5+8+….+3n-1=n(3n+1)/2

Answers

Answer:

all you do is() first divide then go from left to right answers 4

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

Answers

Answer:

Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

Please help me and If your answer is wrong or not appropreat I will report it

Simplify (-2x^(3)y^(7))^(2)(3x^(2)y^(2))^(5)

Answers

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

Answer:

972x^(16)y^(24)

Step-by-step explanation:

Hope it correct !!

Solve the equations.
[tex]3(x+4)^{2} =10x+32\\(x+4)^{2} =3x+40\\\frac{x^{2} -1}{2} -11x=11[/tex]

Answers

Answer:

  a) x = {-2 2/3, -2}

  b) x = {-8, 3}

  c) x = {-1, 23}

Step-by-step explanation:

If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.

__

In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.

a)

  3(x+4)^2 = 10x +32 . . . . . given

  3(x^2 +8x +16) -10x -32 = 0

  3x^2 +14x +16 = 0

To factor this, we're looking for factors of 3·16 that total 14.

  48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8

The last pair of factors has a total of 14, so we can rewrite the equation as ...

  (3x +6)(3x +8)/3 = 0

  (x +2)(3x +8) = 0

The solutions are the values of x that make the factors zero:

  x = -2, x = -8/3

__

b)

  (x +4)^2 = 3x +40 . . . . . . . . given

  x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side

  x^2 +5x -24 = 0 . . . . . . . . simplify

  (x +8)(x -3) = 0 . . . . . . factor

The solutions are the values of x that make the factors zero:

  x = -8, x = 3

__

c)

  (x^2 -1)/2 -11x = 11 . . . . . given

  x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side

  x^2 -22x -23 = 0 . . . . . . simplify

  (x -23)(x +1) = 0 . . . . . . factor

  x = 23, x = -1

_____

Additional comment

Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.

factoring by pairs

We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.

  3x^2 +6x +8x +16 = 0

Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.

  (3x^2 +6x) +(8x +16) = 0

  3x(x +2) +8(x +2) = 0

  (3x +8)(x +2) = 0   ⇒   x = -8/3, x = -2

__

factoring using the X method

This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.

In the bottom quadrant is written the coefficient of the x-term: 14.

If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.

The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.

Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)

__

alternate X method

This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...

  (ax +p)(ax +q)/a = 0

You will notice we used this form above: (3x +6)(3x +8)/3 = 0.

Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...

  (x +2)(3x +8) = 0

__

Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...

  [tex]\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)[/tex]

The expression below represents the perimeter of a square in centimeters.

4(6+2.5)
What is the square's perimeter?

Answers

Answer:

34

Step-by-step explanation:

4(8.5) = 34

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

A Todays soup  will be less tomatoey

Step-by-step explanation:

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