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andrew-mc [135]
3 years ago
10

An angle measures 81.2º more than the measure of its supplementary angle. What is the

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Let x represent the smaller angle:

x + (x + 81.2) = 180

2x + 81.2 = 180

2x = 98.8

x = 49.4 degrees

therefore:

smaller angle = 49.4 degrees

larger angle = 49.4 + 81.2

= 130.86 degrees

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Solve 4x + 11 = k for x.
steposvetlana [31]

Answer:

Step-by-step explanation:

Simplifying

4x + 11 = k

Reorder the terms:

11 + 4x = k

Solving

11 + 4x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 4x = -11 + k

Combine like terms: 11 + -11 = 0

0 + 4x = -11 + k

4x = -11 + k

Divide each side by '4'.

x = -2.75 + 0.25k

Simplifying

x = -2.75 + 0.25k

4 0
3 years ago
Find four consecutive multiples of 3 such that the product of the first, third, and fourth is 1080
Dovator [93]

Answer:

<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

Step-by-step explanation:

Let's find the factors of 1,080, as follows:

1,080 Dividing by 2 (1,080/2)

540 Dividing by 2 (540/2)

270 Dividing by 2 (270/2)

135 Dividing by 3 (135/3)

45 Dividing by 3 (45/3)

15 Dividing by 3 (15/3)

5 Dividing by 5 (5/5)

1

In consequence, we have:

5 * 3 * 3 * 3 * 2 * 2 * 2

Let's find out what multiples of 3 there are:

5 * 3 = 15 is a multiple of 3,

And 3 * 3 * 2 * 2 * 2 is remaining.

3 * 2 = 6 is also a multiple of 3,

And 3 * 2 * 2 is remaining

3 * 2 * 2 = 12 is also a multiple of 3.

<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

7 0
3 years ago
1.Which fraction is the ratio expressed in simplest form?
olganol [36]

1.  divide each number by 6 and you get 4:3  answer c

2. 1x+4x=45  (the ratios give you how many of each you have)

5x=45  so x=9  that is the smallest number

3.  percent means out of 100  so 490/100  4.9

4  percent means out of 100  so .5/100  5/1000  = .005

5 0
4 years ago
Identify which is a hypothesis or a conclusion. A polygon is a rectangle. The polygon has four congruent angles
Lelechka [254]

Answer:

Step-by-step explanation:

6 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below?
vampirchik [111]

Hey there! I'm happy o help!

To get from 60 to -20, you multiply by -1/3. This is our constant of proportionality. Let's see which points below follow this.

-10(-1/3)=3 1/3≠30

30(-1/3)=-10≠-15

-30(-1/3)=10

80(-1/3)=-26 2/3≠-30

Therefore, the correct answer is (-30,10).

Have a wonderful day! :D

6 0
3 years ago
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