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gregori [183]
3 years ago
11

ROUNDING AND ESTIMATION

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

1. 8
2. 9
3. 11
4. 8
5. 10
6. 7
7. 4
8. 11
9. 4
10. 10
11. 16
12. 10
13. 22
14. 3
15. 16

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Step-by-step explanation:

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If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
m_a_m_a [10]

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

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m(∠ABD) = m(∠ABC) + m(∠DBC)

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m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

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Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

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Therefore, ∠2 and ∠4 measure 42°.

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