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3 years ago

WHAT IS THE DIFFERENCE BETWEEN ARITHMETIC AND GEOMETRIC SEQUENCES AND SERIES'?

1 answer:

8 0

A sequence is a set of numbers.
If the difference between two consecutive terms is constant, then the sequence is called arithmetic and the difference is called the common difference.
If the numbers in the sequence follow a pattern were the next term is found by multiplying by a constant called the common ratio, r, then the sequence is geometric sequence.

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A toy rocket was launched from the ground. The function f(x) = -16x² + 160x shows the height of the rocket f(x), in feet, from t

Harman [31]

The answer is D. All you have to do is graph the equation, and you will have the vertex and the roots. By the way, you can rule out B and C because those two do not follow the rules of a quadratic. Also, A and B have the wrong axis of symmetry, because the rocket lands after 10 seconds.

6 0

3 years ago

in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE

maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point A.

ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODA

Reasons:

The given parameters are;

The diameter of the circle with center O = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB is the diameter of circle ${}$ 1. Given

2. DO is perpendicular to AB ${}$ 2. Given

3. ∠DOA = 90° ${}$ 3. Definition of DO ⊥ AB

4. ∠BCA = 90° ${}$ 4. Thales theorem

5. ∠BCA ≅ ∠BCA ${}$ 5. Reflexive property

6. ΔDOA ~ ΔABC ${}$ 6. AA similarity postulate

7. ∠ABC ≅ ∠ODA ${}$ 7. CASTC

8. ∠ABC = ∠ODA ${}$ 8. Definition of congruency

9. ∠AEC ≅ ∠ABC ${}$ 9. Angles in the same segment

10. ∠AEC = ∠ABC   ${}$ 10. Definition of congruency

11. ∠AEC = ∠ODA ${}$ 11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

7 0

3 years ago

Find the measure of b

amid [387]

Answer: 90°

Step-by-step explanation:

Angle b is vertical to the angle that has a measure of 90°

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3 years ago

What must be true to define the measure of a distance of an arc between the points A and B on a circle? A unit of measure must b

Leno4ka [110]

A.) A unit of measure must be defined for distance

6 0

3 years ago

Read 2 more answers

Please helppp! I don’t know the answer

disa [49]

Answer:

250x+140=y

Step-by-step explanation:

so amount earned for 10 hours of work is 250

8 0

3 years ago