solve similar triangles (advanced)

Solve Similar Triangles (advanced)

Answers

Answer 1

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

Additional comment

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.


Related Questions

Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?

Answers

Explanation :-

We are given that the length of the frame is 5 inch and breadth of the frame is 8 inch. And Miguel glues a ribbon border around the edges of the frame. We have to find –the total length of ribbon Miguel uses.

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

Length of the frame is = 5 inchBreadth of the frame is = 8 inch

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Henceforth, perimeter of the frame is 26 inch.

Therefore,

Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

need help gotta turn in at midnight​

Answers

Answer:

c.

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

-21z-35t+21g

Step-by-step explanation:

Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g

x+2=-14x
do anyone know this need it for hw

Answers

Answer:

if you was asking for *solve for X* it is -2/15

Step-by-step explanation:

sorry if this dose not help

Write an equation for the nth term of
the arithmetic seqeuence. Then find a10
Need help please quick

Answers

Answer is attached.

Hope it helps :)

100 students are interviewed to see which of biology chemistry or physics , they prefer 30 students are girls 16 of the girls like biology 9 of the boys prefer physics 2 out of the 34 who prefer physics are girls what percentage prefer biology

Answers

Well, it says that 34 kids like physics and since there is 100 students, we know 34% of the kids like physics. This means 66% like biology.

The original qauntity is 10 and the new quantity is 13. What is the percent change?

Answers

It’s around a 23% chance

4
en 2 = 21,426
6%-
*8 = 21 - 22 - 24
8
-8=24
16
44-8-8=24 -
2x
47.
4y

Answers

Answer:

Step-by-step explanation:

BOX #1 -- 2x

BOX #2 -- 4x

BOX #3 -- 8

BOX #4 -- 16

BOX #5 -- 4

Here it is, I hope it shows up clearer

Answers

just answering so no links can answer

please help again forgot everything

Answers

Answer:

a

Step-by-step explanation:

to find a proportion they must equal each other

8/4 in its simplest form is just 2

to make r/3 = 2 r must be 6

6/3 is 2

PLEASE HELP ME

Solve 2x^2-x>15

Show your work

Answers

Answer:

  x < -5/2  or  3 < x

Step-by-step explanation:

Subtracting 15 puts the relation into a more standard form:

  2x^2 -x -15 > 0

  (2x +5)(x -3) > 0 . . . . . factor

The zeros of these factors are x = -5/2 and x = 3.

For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.

The solution is ...

  x < -5/2  or  3 < x

_____

Additional comment

Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.

Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...

  -30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)

The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:

  x(2x +5) -3(2x +5)

  (2x +5)(x -3) . . . . . . . the factorization we show above.

__

You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.

Please help!!!!!!!!!!!!!

Answers

9 + (-3) = 6
Because based on the image you add 9 and subtract 3

Hope you find this helpful!
Brainliest is much appreciated!

Answer:

B and C

Step-by-step explanation:

look at comments

Please give atleast two answers 20 POINTS

Answers

Answer:

3x^3

Step-by-step explanation:

First: you multiply the exponents inside the parenthesis with the one outside.

12*1/3=  4

3*1/3=1

you get 81x^(4)/3x

divide everything by 3:  27x^(4)/x

now subtract exponents (when dividing), you get: 27x^3

Now 1/3 is the same thing as cube root, so cube root of 27 is, thus the answer is: 3x^3

Shawna wanted to boat across the river, but did not know how wide it was. She walked along the shore for 90 feet and sighted across the water to the point she wanted to go. The angle that the sight line made with the shoreline was 65°. What was the distance across the river?​

Answers

The distance across the river, given the angle of the line of sight and the

distance along the shoreline is found using trigonometric ratios.

The distance across the river is approximately 193 feet.

Reasons:

The distance along the the shore Shawna walked before sighting across the river = 90 feet

The angle made by the line of sight and the shoreline, θ = 65°

Required:

The distance across the river.

Solution:

Taking the initial location of Shawna to be the closest place to point she wanted to go across the river, we have;

The shortest distance across the river = A perpendicular line

Therefore, the following sides, form a right triangle;

The line of sight.The distance along the shoreline Shawna walked, andThe closest distance across the river.

Where:

The line of sight = The hypotenuse side

The distance she walked = The adjacent side to angle 65° angle

The closest distance across the river = The opposite side to the 65° angle

By trigonometric ratio, we have;

[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\ angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Distance \ across \ the \ river}{Distance \ along \ the \ shoreline}}[/tex]

Which gives;

Opposite side to angle = tan(θ) × Adjacent side to angle

Therefore;

Distance across the river = tan(65°) × 90 feet ≈ 193.0 feet

The distance across the river is approximately 193 feet

Learn more about trigonometric ratios here:

https://brainly.com/question/10270672

https://brainly.com/question/2560921

Malin and Shawn begin with the same number, $t$. Malin subtracts $6$ from $t$ and then divides the result by $6$. Shawn adds $7$ to $t$ and then divides the result by $7$. If Malin's final answer is the same as Shawn's final answer, what was the number $t$

Answers

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

5184 divided by 27
JUST ANSWER

Answers

Answer:

[tex]5184 \div 27 = 192[/tex]

Step-by-step explanation:

Hope this helps you !!

The year the Greek city of Helike disappeared is -1/5 times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.

Answers

Variables:

w= The\ year\ Civil\ War\ ended

The year the Greek city of Helike disappeared is -1/5(w)

sry if im wrong i hope this helps tho :)

Answer:

Hope this helps

Step-by-step explanation:

-1/5x=w

w=1865

so -1/5x=1865

x=-9325

identify all possible answer for the statement below.

Answers

Answer:

it simple there nothing there Step-by-step explanation:

please keep it simple

Answers

Answer:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


(ii) Kolyan has $9 to spend.
Work out the total amount Kolyan spends on water and biscuits as a fraction of the $9.
Give your answer in its lowest terms.

Answers

The amount spent on water and biscuits is $5.4 and $3.6, respectively

From the question, the ratio is given as:

[tex]Biscuits : Water= 3 : 2[/tex]

Represent both proportion as a fraction

[tex]Biscuits = \frac 35[/tex]

[tex]Water= \frac 25[/tex]

Kolyhan has $9.

So, the amount spent on biscuit is:

[tex]Biscuit= \frac 25 \times 9[/tex]

[tex]Biscuit= 3.6[/tex]

The amount spent on water is:

[tex]Water = 9 - 3.6[/tex]

[tex]Water = 5.4[/tex]

Hence, the amount spent on water and biscuits is $5.4 and $3.6, respectively

Read more about ratios and proportions at:

https://brainly.com/question/18170686

What is the probability of rolling a number less than or equal to eight with the sum of two dice, given that at least one of the dice must show a 6?

Answers

Answer:

4/11

Step-by-step explanation:

Outcomes that meet your requirement are

 (1, 6), (2, 6), (6, 1), (6, 2)

for a total of 4 favorable outcomes.

There are 11 outcomes in which one die shows a 6.

So your probability would be 4/11.

x^(3)+6x^(2)+4x+24 factor by grouping

Answers

x³ + 6x² + 4x + 24

= x² (x + 6) + 4 (x + 6)

= (x² + 4) (x + 6)

Simplify the expression: 4s+10–2+4s

Answers

Answer:

8s+8

Step-by-step explanation:

Put it into groups: (4s+4s)+(10-2)=8s+8

Brainliest is appreciated

Answer:

(4s+4s)+(10-2)= 8s/8 =1   so s=1

Step-by-step explanation:

first middel schooler to answer gets brainlest what is 124x6?

Answers

Answer:

744

Step-by-step explanation:

7 1/3 x 7/11
simplify the answer completely and change to a mixed number

Answers

Answer:

Hello There!

Your question says that

[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]

Now lets convert mixed fraction to improper fraction

[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]

Now let's simplify..

[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]

Now simplify 22 and 11 so it will look like

[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]

Now lets convert it to mixed fraction...

[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]

So it is the answer

[tex]4 \: \frac{2}{3} \\ \\ [/tex]

I hope it is helpful to you..Cheers!______

The product of the two given fraction is [tex]4\frac{2}{3}[/tex].

The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].

Product of two fractions = Product of their numerators / Product of their denominators.

Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]

= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]

= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]

= [tex]\frac{14}{3}[/tex]

In mixed fraction [tex]4\frac{2}{3}[/tex]

Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ6

Fill in the missing numbers. 9.223 x ______ = 922.3 0.09223 x _______ = 9.223 92.23 x ______ = 922.3

Answers

Answer:

1. 100

2. 10000

3. 10

Convert this improper fraction to a Mixed Number 40/10 plz i need help

Answers

Answer:

4

Step-by-step explanation:

How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.

Which numbers make a true statement when placed in the box?

8.274< |__|


Select EACH correct answer.


1) 8.199

2) 8.201

3) 8.396

4) 8.295


*Disclaimer*

Show work!

Answers

Answer:

3 & 4

Step-by-step explanation:

Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295

If A= -2 -8 -9 and B= 9 -9 6 find A-B

-5 7 5. 2 -1 -3

-4 -8 7. -4 -1 6

Answers

Answer:

A-B=

-2-8-9-(9-9+6)=

-19-6=

-25

Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.

Answers

Answer:

20%

43*0.8=34.4

Hope This Helps!!!

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