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Contact [7]
3 years ago
9

Two angles are complementary. the measure of one angle is 6° more than one-half of the measure of the other. find the measure of

each angle.
Mathematics
2 answers:
expeople1 [14]3 years ago
7 0
First, write an equation system based on the problem
We could write "two angels are complementary" as
⇒ a + b = 90° (1st equation)
We could write "<span>the measure of one angle is 6° more than one-half of the measure of the other" as
</span>⇒ a = 6° + \frac{1}{2}b (2nd equation)
<span>
Second, solve the equation system by substituting a from the second equation to the first equation
a + b = 90</span>°
6° + \frac{1}{2}b + b = 90°
6° + \frac{3}{2}b = 90°
\frac{3}{2}b = 84°
b = 84° × \frac{2}{3}
b = 56°

Substitute the measurement of b
a + b = 90°
a + 56° = 90°
a = 90° - 56°
a = 34°

The answer are 56° and 34°
Sidana [21]3 years ago
6 0
Complementary angles total 90°
One angle is 6 + .5x, so both angles added together is
x + (6 +  0.5 x) = 90 \\  1.5x  + 6 = 90 \\ 1.5x = 84 \\ x = 56 \\ 90 - 56 = 34
First, we add one angle to the other, and set it to 90°. Then, we simplify the equation. Then, we subtract 6 from both sides. Then we divide both sides by 1.5
The first angle is 56°
The second angle is 90 - 56, which is 34°
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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
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The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

Learn more about the inequality here:

brainly.com/question/19491153

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2 years ago
In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest
spayn [35]

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

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Answer:

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Step-by-step explanation:

3(2x + w)

Distribute

3*2x +3*w

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