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Verdich [7]
3 years ago
11

Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Cre

ate point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS
Mathematics
1 answer:
weqwewe [10]3 years ago
4 0

Answer:

D. SAS

Step-by-step explanation:

Given: ΔABC

Bisecting <ABC to create point D implies that BD is a common side to  ΔABD and ΔCBD.

Also,

m<ABD = m<CBD (angle bisector)

BA = BC (given property of the isosceles triangle)

Therefore,

ΔABD ≅ ΔCBD (Side Angle Side)

The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.

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point of intercept

Step-by-step explanation:

measure x and y axis to see where they cross

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In your own words define vertical angles
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a pair of opposite lines the are made by two intersecting lines

Step-by-step explanation:

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3 years ago
Read 2 more answers
If the equation of a circle is (x - 2)2 + (y-6)2 = 4, it passes through point
san4es73 [151]

(x - 2)² + (y - 6)² = 4

You can be certain about one thing just by looking at the equation (2, 6) is the center, so, obviously the circle isnt going through this point

Since the radius is 2 if we don't move from y = 6 we have points in (0, 6) and (4, 6)

So alternative b.

To be more certain just subs the point in the x and y, if its equal, it pass through

(x - 2)² + (y - 6)² = 4

To point (4, 6)

(4 - 2)² + (6 - 6)² = 4

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Thats right

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%207-5x%3D-43" id="TexFormula1" title="\sf 7-5x=-43" alt="\sf 7-5x=-43" align="absmiddle"
lukranit [14]

Answer:

\sf\longmapsto \: x = 10

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

\sf\longmapsto \:  \frac{ - 5x}{ - 5}  =  \frac{ - 50}{5}

\sf\longmapsto \: x = 10

\boxed{\sf Answered \: By\: Subhash}

\boxed{\sf Answered \: By\: Subhash}

\boxed{\sf Good\: luck \: for \: your \:assignment}

6 0
2 years ago
PLZ HELP IM KINDA STUCK
ozzi

Answer: First on is X=5




6 0
3 years ago
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