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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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Answer:

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7 0
3 years ago
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
guapka [62]

4.b.

Answer:  See below.

Step-by-step explanation:

<h2><u>For the equation f(x) = 2x</u></h2>

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<u>f(6) = 12</u>

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<u>f(-11) = -22</u>

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3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

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<u>The rest of (3) are solved in the same fasion.h</u>

<u></u>

<h2><u>For the equation  f(x)= 5x+50</u></h2>

4.a.  f(7) = 5(7)+50

<u>f(7) = 85</u>

4.b. f(-12)

  f(-12) = 5*(-12)+50

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<u></u>

Continue in the same fashion for these types of problems.

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2 years ago
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What it is asking is 8 times what equals 48. The best way to do this is by doing the opposite operation. 48 divided by 8 equals 6. Then if you put it in the other way you get 8(6)=48 which works out. So the answer is 6.

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2 years ago
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