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2 years ago

Arrange these fractions in least to greatest order:

Mathematics

1 answer:

earnstyle [38]2 years ago

7 0

1 6/7 ................

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The complement of an angle is 25 less than 3 times the angles itself. Find the measure of each

Semenov [28]

Answer: 28.75° and 61.25°

Step-by-step explanation:

A complementary angle equals 90°.

Let the measure of the angle be a

Therefore, its complement will be:

= 90-a.

The complement of an angle is 25 less than 3 times the angles itself can be written as:

90-a = 3a - 25

90 + 25 = 3a + a

115 = 4a

a = 115/4

a= 28.75

Since the angle is 28.75°, the complement will be:

= 90° - 28.75°

= 61.25°

The angles are 28.75° and 61.25°

6 0

3 years ago

Ray MN and ML are two sides of an angle. What is a name of this angle?

Airida [17]

LMN, NML or Angle M. Depends on context for all of these. They all work though.

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3 years ago

the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?

Soloha48 [4]

Given:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

General term:

The general term of the geometric sequence is given by

$a_n=a(r)^{n-1}$

where a is the first term and r is the common ratio.

The 11th term is given is

$a_{11}=a(4)^{11-1}$

$48=a(4)^{10}$ ------- (1)

The 12th term is given by

$192=a(4)^{11}$ ------- (2)

Value of a:

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

$48=a(1048576)$

Dividing both sides by 1048576, we get;

$\frac{3}{65536}=a$

Thus, the value of a is $\frac{3}{65536}$

Value of the 10th term:

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term $a_n=a(r)^{n-1}$ , we get;

$a_{10}=\frac{3}{65536}(4)^{10-1}$

$a_{10}=\frac{3}{65536}(4)^{9}$

$a_{10}=\frac{3}{65536}(262144)$

$a_{10}=\frac{786432}{65536}$

$a_{10}=12$

Thus, the 10th term of the sequence is 12.

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2 years ago

Free brainless answer pleaseeee and morw

sergejj [24]

1. alternate interior angles, x= -10
2. corresponding angles, x= 30

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3 years ago

Write the standard form of the equation of the line through the given points and I

bonufazy [111]

Nice question hey there! need help!?

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2 years ago