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3 years ago

I need to study for a test tomorrow and I got these questions online can anyone please tell me the answers.

Mathematics

1 answer:

puteri [66]3 years ago

7 0

1) 4x+6= 10; x=1
2) c + 5= 15; c=10
3) 2 - a= 18; a= -16
4) -8x=16; x= -2
5) a+6= 12; a=6
6) 3+b= 18; b=6
7) -5 - x= 19; x= -24
8) 7+4b= 34; b= 6.75

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

Evaluating $a +40.2$ :

$a +40.2 \\ 24.9 +40.2 \\ 65.1$

The measure of the angles are $24.9^{\circ}$ and $65.1^{\circ}$

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3 years ago

Factorize <br>2x²-x²-x <br>Please help me fast to solve this problem.

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Answer: x (x - 1)

Step-by-step explanation:

$2x^{2} - x^{2} -x$

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2 years ago

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3 years ago

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4 years ago

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The Chinese Institute of Health Statistics reported that of every 7,883 deaths in recent years, 624 resulted from a traffic acci

elena-s [515]

Answer:

7.92% probability that a particular death is due to a traffic accident

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