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maria [59]
4 years ago
12

Find the value of x.

Mathematics
1 answer:
Nuetrik [128]4 years ago
3 0

Answer:

\huge\boxed{y=\sqrt{55}}

Step-by-step explanation:

ΔADC and ΔDBC are similar (AAA)

Therefore the cooresponging sides are in proportion:

\dfrac{AC}{CD}=\dfrac{CD}{BC}

Substitute:

AC=6+5=11\\BC=5\\CD=y

\dfrac{11}{y}=\dfrac{y}{5}              <em>cross multiply</em>

(11)(5)=(y)(y)\\\\55=y^2\to y=\sqrt{55}

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Shtirlitz [24]
IM PRRETTY SURE ITS D BEB
4 0
3 years ago
A field is a rectangle with a perimeter of 1220 feet. The length is 100 feet more than the width. Find the width and length of t
rosijanka [135]
To start, let x represent the width and x+100 represent the length. Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 1220, you can set the expression equal to 1220. This would look like this:
(x+100)+(x+100)+x+x=1220

Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=1220

Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width, 255 since according to the information given, the length is 100 more than the width. When you add 100 to 255, you should get that your length is 355. 

Now that you have your length and width, you can conclude that the dimensions of the field is 255 by 355 feet, which is your answer :)
3 0
4 years ago
You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to
neonofarm [45]

Answer:

brainly.com/question/15669925#:~:text=04%2F13%2F2020-,You%20want%20to%20wrap%20a%20gift%20shaped%20like%20the%20regular,8.7%20in.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jason's mom drove at 100km/hr for a 160km trip.how much longer would the trip have taken if she had driven at 90km/hr
kondor19780726 [428]
We use the formule: t=S/v. So:
+ t1= 160/100 = 8/5 hrs = 5760''
+ t2= 160/90 = 16/9 hrs = 6400''

=> t2-t1= 6400 - 5760 = 640'' = 10'40''


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3 years ago
Write an equation of the line passing through ​(2​,4​) and ​(3​,5). Give the answer in standard form.
saveliy_v [14]

The answer to waht you are looking for is: x-y=-2

6 0
4 years ago
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