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kotegsom [21]
3 years ago
9

The triangles are similar. If DE=32, EF=24,and BC=6, find AB

Mathematics
2 answers:
Karolina [17]3 years ago
5 0
ABC = DEF
AB = DE , AC = DF & BC = EF ( means similar )
EF = 4times BC
So, the triangle DEF is 4times the triangle ABC
EF = 24 and BC = 6
So, AB = DE/4 = 32/4 = 8
tatyana61 [14]3 years ago
4 0

Answer:

The length of <u>AB is </u><u>8</u>

Step-by-step explanation:

The triangle ΔABC and ΔDEF are given as in figure-1

We can observe from given data that,

The length of sides of triangle ΔDEF is 4 times the sides of triangle ΔABC.

ΔABC ≅ ΔDEF

EF=4×BC  

⇒  EF=4×(6)=24

DE=4×AB  

Divide both sides by '4'

⇒ \frac{DE}{4}=AB

⇒  \frac{32}{4}=AB

⇒  8=AB

Hence the length of <u>AB is </u><u>8</u>

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Dmitry [639]

Answer:

3x+2 \ne x^2 \ne 2x for x = 4

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

x = 4

Required

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To do this, we simply substitute 4 for x in the given dimensions

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<u>x^2 </u>

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8 0
3 years ago
50 students in 4 buses how many in each bus
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3 0
4 years ago
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Fantom [35]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
C240
djyliett [7]

Answer:

  $3800

Step-by-step explanation:

When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points

  y = 1200(x -2) +6200 . . . . . . . . . simplify some

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  y = 1200x +3800 . . . . . . . . . . . . . completely simplify

When the number of years (x) is zero, the amount is 3800. The principal is $3800.

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<em>Alternate solution</em>

You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...

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5 0
4 years ago
In a question like: 3 − (2x − 5) &lt; −4(x + 2)
Viefleur [7K]

Answer:

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