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Vsevolod [243]
3 years ago
9

Write 2/15 as a decimal.

Mathematics
1 answer:
Cloud [144]3 years ago
5 0
If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
\frac{2}{15} = \frac{x}{10}

now let's multiply both sides by 10:
\frac{20}{15} = x
and simplyfy:
(by dividing the first fraction's elements by 5)
\frac{4}{3} = x

change improper fraction into a mixed number
1\frac{1}{3} = x

and 1 over 3 is 0.33333...

so the  answer is 1.333333 - we can also write it as 1.(3)
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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°

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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