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3 years ago

What is r the common ration in the geometic sequence 2, -14, 98, -687

Mathematics

1 answer:

Agata [3.3K]3 years ago

8 0

Answer:

r is -7

Step-by-step explanation:

(I believe that you mistyped and meant that the fourth term in the sequence should be -686)

The easiest way to find the common ratio is to divide the numbers that are adjacent to each other

$\frac{-14}{2} =-7\\\\\frac{98}{-14} =-7\\\\\frac{-686}{98} =-7$

As you can see, when we divide a term by its previous term, we get -7 every time. This is our common ratio.

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Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

Simplify −6+{14+2[60−9(1+3)]}

ziro4ka [17]

The answer is 56.

I know this because...
-6 + {14 + 2 [60 − 9(1 + 3)]}
-6 + {14 + 2[60 − 9(4)]}
-6 + {14 + 2[60 − 36]}
-6 + {14 + 2[24]}
-6 + {14 + 48}
-6 + {62}
-6 + 62 = 56

6 0

3 years ago

Read 2 more answers

The function f(x) is graphed on the coordinate plane.

tatiyna

F(x) = 1/4x-1

i hope this helps!

6 0

3 years ago

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What is the measure of the unknown angle?

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

a entire circle is 360⁰

so you do:

360-297

6 0

2 years ago

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Each table in a classroom is 100cm long and 50cm wide. what is the area of each table? there are 16 tables in the classroom. wha

lord [1]

Answer:

Step-by-step explanation:

3 0

2 years ago