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Llana [10]
3 years ago
13

Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of ea

ch triangle? A) EA DE = CB AC B) DE EA = CB AC C) DE EA = AC CB D) EA DE = AC CB
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

B) \frac{DE }{EA} =\frac{CB}{AC}

Step-by-step explanation:

If ant two given triangles are SIMILAR, then they have equal corresponding angles and their corresponding sides are PROPORTIONAL.

For example: if Δ ABC ≈ Δ PQR, then

∠A  = ∠P  , ∠B  = ∠Q  and ∠C  = ∠R

and \frac{AB}{PQ} =  \frac{BC}{QR}  = \frac{AC}{PR}

Now, here given:  Δ ADE ≈ Δ ABC

Then by the SIMILAR postulate their corresponding angles are equal and their corresponding sides are Proportional.

\implies \frac{AD}{AB} =  \frac{DE}{BC}  = \frac{AE}{AC}    ............. (1)

Consider from above:

 \frac{DE}{BC}  = \frac{AE}{AC}\\\implies \frac{DE}{AE}  = \frac{BC}{AC} ............. (2)

Here, the given options are:

A) \frac{EA }{DE} =\frac{CB}{AC}     FALSE

B) \frac{DE }{EA} =\frac{CB}{AC}   TRUE    (from 2)

C) \frac{DE }{EA} =\frac{AC}{CB}   FALSE

C) \frac{EA}{DE} =\frac{AC}{CB}    FALSE

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3 years ago
How do you workout 7x-19<16
laila [671]

Answer:

To work this problem out you would do it as if it were just a simple equation

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Step-by-step explanation:

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3 years ago
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3 years ago
Sally is 1 year older than 3 times the age of joe.Chirs is 5 years younger than 6 times the age of joe.If sally and Chris are th
Sav [38]
S = sally C = Chris J = Joe
sally is one year older than 3 times the age of joe, so
s = 3j + 1
chris is 5 years younger than 6 times the age of jo, so
c = 6j - 5
sally and chris are the same age so
s = c so
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check
s = c
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7 0
3 years ago
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The graph shows two polygons ABCD and A′B′C′D′.
stellarik [79]

Answer:

Translate ABCD down 1, then reflect it over the y-axis

and

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Step-by-step explanation:

First of all, the two steps are the same, just in a different order

Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image

7 0
3 years ago
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