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zhenek [66]
3 years ago
10

Which of the following equations is represented by a graph that is centered at (- 6, - 8) and includes the point (0, - 8) ?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

C.

Step-by-step explanation:

As the center is (-6, -8) the 2 factors on the left will be (x + 6) and (x + 8) so it's either A or C.

When x = 0 y = -8 so substituting we have:

(0 + 6)^2 + (-8 + 8)^2 = 36 + 0 = 36.

So it's choice C.

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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 <em>A</em>.

  • <u>ΔDOA is similar to ΔABC, and </u><u>∠AEC</u><u> is equal to </u><u>∠ABC,</u><u> therefore, ∠AEC = ∠ODA</u>

Reasons:

The given parameters are;

The diameter of the circle with center <em>O</em> = 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     <em> </em>{}                 1. Given

2. DO is perpendicular to AB <em> </em>{}                     2. Given

3. ∠DOA = 90° <em> </em>{}                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°  <em> </em>{}                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA <em> </em>{}                                         5. Reflexive property

6. ΔDOA ~ ΔABC  <em> </em>{}                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA  <em> </em>{}                                       7. CASTC

8. ∠ABC = ∠ODA  <em> </em>{}                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC  <em> </em>{}                                        9. Angles in the same segment

10. ∠AEC = ∠ABC  <em> </em>{}                                       10. Definition of congruency

11. ∠AEC = ∠ODA  <em> </em>{}                                        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

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2 years ago
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vlabodo [156]

Answer:

(x-9)^2-87

Step-by-step explanation:

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Answer:

A constant is a number that stays the same. A variable is number that doesn't remain the same.

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Which of the following choices is an example of gathering evidence?
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Answer:

OA Taking Measurements

8 0
1 year ago
No links, provide explanation.
a_sh-v [17]

Answer:

C: 18

Step-by-step explanation:

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