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Vesna [10]
2 years ago
14

Solve radicals:

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
5 0
1: 2/7 (I think)

2: √2 −3
——
3
(Number 2 is probably difficult but the two lines underneath is where the number is supposed to be)

3: 4√10
—
15

Explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.


(I hope this helps and is correct)
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Answer:

C

Step-by-step explanation:

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If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
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Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

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°

        = 48°

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°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

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