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Hunter-Best [27]
3 years ago
14

Solve for x khan academy solve similar triangles advanced

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

x = 10/3

Step-by-step explanation:

The question is incomplete without the diagram as this would enable us solve for x. Find attached the diagram used for solving the question.

We can tell from the question we are to compare two triangles drawn together (smaller one drawn in a bigger one) using similar triangles.

Using similar triangles to solve for x,

∆ABC = ∆ADE

∠CBA = ∠EDA = 90°

Let's relate the ratio of their corresponding sides.

(Adjacent/opposite) in ∆ABC

= (Adjacent/opposite) in ∆ADE

AB/CB = AD/ED

AB = 6

CB = 2

AD = AB + BD = 4+6 = 10

ED = x

6/2 = 10/x

3 = 10/x

3x = 10

x = 10/3

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Answer:

x = 2.5

Step-by-step explanation:

You have a right triangle, if we use the 67° angle the opposite side is 6 and the adjacent side is x. So we use the tangent formula

Tan θ = opposite / adjacent

adjacent = opposite / Tan θ

x = 6 / Tan 67

x = 2.5

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3 years ago
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.
snow_lady [41]

A suitable probability app shows the 1st percentile to be at about 11040 pages.

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3 years ago
Find the angle measure. It is not asking for X
MrMuchimi
<h3>Answer:   131 degrees</h3>

Work Shown:

(angle JIW) + (angle WIH) = angle JIH

(2x+8) + (101) = 11x + 10

2x+109 = 11x+10

2x-11x = 10-109

-9x = -99

x = -99/(-9)

x = 11

So,

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The smaller angles add to 30+101 = 131 to confirm we have the correct answer.

For more information, check out the angle addition postulate.

5 0
2 years ago
A family buys a refrigerator that costs € 840 paying a 30% cash deposit and the rest in 6 monthly installments, what is the amou
krok68 [10]

Answer:

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Step-by-step explanation:

A 30% deposit is 0.30 * 840

=  €252.

So there is 840 - 252

=  €588 left to pay.

The amount of each monthly instalment

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8 0
3 years ago
Read 2 more answers
Please answer, thank you
photoshop1234 [79]

3 17/20

hope this is helpful :)

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3 years ago
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