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Sergeeva-Olga [200]
3 years ago
13

What common angle do ACE and ACD share?

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
6 0
The answer is the second option, <ACE = <ECA.

This is because C is in the middle of both, so it's referring to the same angle. The other options are all comparing different angles, that aren't congruent, so they're incorrect.
never [62]3 years ago
3 0

Answer:

∠ACE≅∠ECA

Step-by-step explanation:

If we take ΔACE and ΔACD,

∠ACE and ∠ECA are the common angle as compared to the rest one given.

If we take, ∠AFB and ∠EFD, both the angles are not contained in the given triangle.

Similarly, if we take ∠EBC and∠ECB, the ∠EBC is not included in the triangle ACE.

In, ∠CAD and ∠CEB, both the angles cannot be equal.

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muminat

Answer:

a = 18

Step-by-step explanation:

2(a-7)=a+4

Distribute 2 into left side: 2a -14 = a + 4

subtract a from both sides  2a-a-14 = a+4-a

Simplify: a  - 14 = 4

Add 14 to both sides: a - 14 + 14 = 4 +14

Simplify:   a = 18

If wanted, plug a into original to double check work:

plug in: 2 (18-7) = 18+4

do parenthesis first: 2 (11) = 18+4

do multiplication : 22 = 18+4

additions: 22 =22

a = 18 is correct.

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I have a total of 11 pencils = total outcome
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