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Svetradugi [14.3K]
1 year ago
14

Let ABC be a right triangle (∠C=90°). Let CH be the altitude of the triangle ABC.

Mathematics
1 answer:
meriva1 year ago
3 0

Answer: 150

Step-by-step explanation:

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Is there enough information to prove that the triangles are congruent?
m_a_m_a [10]

Answer:

In triangle ABC and triangle CDA

AB=CD(given)

BC=DA(given)

AC=AC(common)

Thus triangle ABC and triangle CDA are congruent by SSS rule

3 0
3 years ago
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Geometry math question no Guessing and Please show work
sergiy2304 [10]

the answer is D.

I dont know how to add work for a question like this, however, I know how I'd show work....

Draw a graph and stick a point in the IV quadrant and label it "original". Then next to it, draw another graph and stick a point in the III quadrant and label it "reflection"


TIP: if you do that, make sure the points are in the same location in each quadrant

6 0
3 years ago
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Katie has a job planting shrubs beside the highway. She needs to plant 500 shrubs in a week. So far, She has planted this many:
ladessa [460]

ANSWER: Katie Must Plant 133 Shrubs On Friday.

First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.

3 0
3 years ago
Can someone help please ill give Brainlist ​
Maru [420]

Answer:

-1/3

Step-by-step explanation:

The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.

7 0
2 years ago
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