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Triss [41]
3 years ago
12

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz plzz anyoneee

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that x^{2} =pz

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and  Δ ADB in the attached file , ∠A is common in both triangles

                                                                     and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

\frac{x}{z}= \frac{p}{x}

Cross multiply

x^{2}=pz

Hence proved.


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inna [77]
You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.

When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)

Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)

point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)

point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)

Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
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Hope this helps :)
5 0
3 years ago
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Holly and 2 her best friends went to dinner. Their total bill was $32.20. They use a coupon for 15% off the total. If they split
V125BC [204]

Answer:

$9.12 each

Step-by-step explanation:

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3 years ago
A data set is normally disturbed. As data points are removed from both ends of the range, what happens to the display of data?
sergij07 [2.7K]

Answer: The display becomes skewed left.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

If you don't have to simplify, then the answer would be 6:24, but if you do, then the answer would be 1:4.

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8.006 minus 6.38 awnser
Nutka1998 [239]
8.006
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Hope this help
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3 years ago
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