MATHEMATICS HIGH SCHOOL

In the figure below, segment AC is congruent to segment AB.Which statement is used to prove that angle ABD is congruent to angle ACD?
Answer

Angle CAB is congruent to angle CBA.

Angle DAC is congruent to angle DAB.

Triangle ACD is similar to triangle ABD.

Segment AD is congruent to segment AC.
In the figure below, segment AC is congruent to segment - 1

Answers

Answer 1
Answer:

Answer:

Option B is correct.

Angle DAC is congruent to angle DAB

Step-by-step explanation:

Given: Segment AC is congruent to segment AB.

In  ΔABD and ΔACD

AB \cong AC    [Given]

[Congruent sides have the same length]

AB = AC         [Side]

AD = AD        [Common side]

\angle DAC =\angle DAB      [Angle]

Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then by SAS,

\triangle ABD \cong \triangle ACD

By CPCT [Corresponding Parts of congruent Triangles are congruent]

then;

\angle ABD \cong \angle ACD

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
Answer 2
Answer: The right answer for the question that is being asked and shown above is that: "Angle DAC is congruent to angle DAB." The statement that is used to prove that angle ABD is congruent to angle ACD is that Angle DAC is congruent to angle DAB.

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Mr. Thomas sleeps for a third of the day, grades papers for an eighth of the day, and drive his car for a twelfth of the day, how many more hours are left to do other things?

Answers

Answer:

11 hrs

Step-by-step explanation:

12 - (1/3 + 1/8 + 1/12)

1/3 + 1/8 + 1/12 = (8+3+2)/24 = 13/24 (13 hrs of 24)

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Find the perimeter of the triangle with vertices. Round your answer to the nearest tenth. A(-2, 5) B(3, 8) C(7, -4)

Answers

Answer:

perimeter = √34 + √160 + √162

perimeter ≈ 31.21

Step-by-step explanation:

AB = √[(3 + 2)² + (8 - 5)²] = √34

BC = √[(7 - 3)² + (-4 - 8)²] = √160

AC = √[(7 + 2)² + (-4 - 5)²] = √162

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Which statement correctly describes a characteristic that a scientificmeasuring tool should have?
A. To be accurate, it must be able to give consistent measurements
of a quantity
B. To be accurate, it must be able to make measurements using very
small units.
C. To be accurate, it must be able to make measurements that are
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D. To be accurate, it must be able to make measurements using very
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M

Answers

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Reliability

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Best of Luck!

Answer:

I want to say your answer is option B.

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Answers

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y - 3 + 16 = x² - 8x + 16
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Answers

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Answers

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