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2 years ago

An angle measures 15 degrees more than its complement. Find the measures of the two angles

Mathematics

1 answer:

ale4655 [162]2 years ago

3 0

x = one angle

y = other angle

y = 15+x

complements add to 90 degrees

x+y = 90

substitute for y (15+x)

x + 15+x = 90

combine like terms

2x+ 15 = 90

subtract 15 from each side

2x = 75

divide each side by 2

x = 75/2

x = 37.5

y = x+15

y = 37.5 + 15

y =52.5

The two angles are 37.5 and 52.5

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e is 150% more than d . what is the ratio d:e in its simplest form? what is the ratio e:d in the form 1::n

Bad White [126]

Answer:

d:e is 2:3

Step-by-step explanation:

if 'e' is 150% more than 'd' we can say that 'e' is 1.5 and 'd' is 1

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3 years ago

Solve and simplify.. 1/2 ÷6 =

nikklg [1K]

Answer:

1/12

Step-by-step explanation:

1/2 ÷ 6

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2 years ago

3 times the sum of a number and 4

Lyrx [107]

Answer:

3(4+x)

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3 years ago

The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .

sammy [17]

Answer:

$32,24,18,\frac{27}{2} ,\frac{81}{8}$

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is $32,x,y,z,\frac{81}{8}$

Recall that term of a geometric sequence are generally in the form:

$a,ar,ar^2,ar^3,ar^4$

This implies that:

a=32 and $ar^4=\frac{81}{8}$

Substitute a=32 and solve for r.

$32r^3=\frac{81}{8}$

$r^4=\frac{81}{256}$

Take the fourth root to get:

$r=\sqrt[4]{\frac{81}{256} }$

$r=\frac{3}{4}$

Therefore $x=32*\frac{3}{4} =24$

$y=24*\frac{3}{4} =18$

$z=18*\frac{3}{4} =\frac{27}{2}$

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3 years ago

What is the probability that 2 randomly selected months have 31 days?

aniked [119]

Answer:

31.8%

Step-by-step explanation:There are 7 months that have 31 days so,

The odds the first selected month has 31 days is 7/12

The next month there are only 6 months left with 31 days of only 11 months to choose from

so the odds for the second are 6/11

To calculate the odds they BOTH have 31 months you multiply the two odds:

(7/12) x (6/11) = 42/132 = .318 so 31.8%

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3 years ago

Read 2 more answers