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anastassius [24]
3 years ago
6

Three numbers a, b and c form an arithmetic sequence. The numbers b, c and a form a geometric sequence. Find the three numbers g

iven that they add up to 36.
Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

They are all 12 because if you add 12 3 times you get 36 hope this helped have a nice day

Step-by-step explanation:

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11. Benito and Tyler are painting opposite sides of the same fence that is 150 feet long. Tyler has already painted 19.5
stiv31 [10]

Answer:

(a) 4.875 minutes

(b) 1.86 minutes

Step-by-step explanation:

The length of fence = 150 feet.

Rate of painting by Tyler = 11ft/min

Rate of painting by Benito = 15ft/min

(a) Let after time t minutes  both have painted equal number of feet.

As Taylor has already painted 19.5 feet. So,

15t=19.5+11t

\Rightarrow 4t=19.5

\Rightarrow t=\frac{19.5}{4}

\Rightarrow t=4.875 minutes.

(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.

So. time taken by Tylor to finish the painting

=\frac{130.5}{11}=11.86 minutes.

Time taken by Benito to finish the painting

=\frac{150}{15}=10 minutes

Here, tome taken by Benito is less, so Benoto finishes first.

Benoto will get the time to rest for 11.86-10=1.86 minutes.

8 0
4 years ago
Please help me with this question (bottom question)
Sliva [168]
This is another one for the "impossible geometry question" file.

Answering the last question first, the sum of exterior angles of any convex polygon is 360°.

This fact tells us that the sum of interior angles is 10*180° - 360° = 1440°. Without additional information, we do not know the measure of each interior or exterior angle.


If we assume all angles are equal, then
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What is new equation if the function y=2^x is translated 5 units to the right and 1 unit down?
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Decide weather there is enough information to prove the following triangles are congruent. Justify your answer for each pair of
rewona [7]

Answer:

Yes there is enough information to find both triangles DEF and DHG are congruent.

Both the triangles are congruent by SAS theorem of congruence.

Step-by-step explanation:

Lets have a look to both of the triangles.

And mention what are the given information in our question.

We have \triangle DEF and  \triangle DHG.

Where

  • FD = DG
  • ED = DH

And we can see that \angle FDE = \angle HDG (Vertically opposite angles).

So we have two sides equal and an angle between the two are equal.

Then we can say that through SAS property of congruence \triangle DEF and  \triangle DHG are congruent  \triangle 's

3 0
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