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Dmitry [639]
3 years ago
10

A married couple had a combined annual income of 63,000. The wife made 7,000 more than her husband. What was each of their incom

es?
Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0
The wife made 33,500 and he made 29,500
Alchen [17]3 years ago
4 0
The wife made 33,500 and the husband made 29,500
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Given: AB ≅ BC , m∠MOC = 135° OM − angle bisector of ∠AOB Prove: ∠ABO ≅ ∠CBO
Gennadij [26K]

Answer:

See explanation

Step-by-step explanation:

1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then

m∠AOM = 180° - 135° = 45°

2. OM − angle bisector of ∠AOB, then

m∠AOM = m∠MOB = 45°

3. Now

m∠BOC = m∠MOC - m∠MOB

m∠BOC = 135° - 45° = 90°

4. Since m∠BOC = 90°, BO is perpendicular to AC.

5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus

∠ABO ≅ ∠CBO

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Answer:

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