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Mandarinka [93]
3 years ago
14

Please Help!!!!!!! I am very confused. Can someone explain?

Mathematics
1 answer:
pentagon [3]3 years ago
6 0

Answer:

1/6a-1/6, a=1

Step-by-step explanation:

Hey there! I can definitely explain :)

-2/3a+5/6a-1/6

Multiply the two terms (the first two), to have common denominators!

The common lowest (easiest to deal with) denominator is 18. So, multiply the first term (-2/3a) by 6/6 and the second term (5/6a) by 3/3!

-12/18a+15/18a-1/6

Now, add those together!

3/18a-1/6

Now simplify!

1/6a-1/6

If you want, you can solve for a!

1/6a=1/6

a=1

Hope this helps! Please mark brainliest :)

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Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :
lesya [120]

Answer:

x = 10\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

3 0
3 years ago
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0
2 years ago
What does to solve the equation x - 2 = 9 (hint: you would need to subtract 2) form both sides of the equation am I correct?
geniusboy [140]

Answer:

I think the answer to X = 11.

Step-by-step explanation:

X - 2 = 9, correct?

11 - 2 = 9.

I hope this can help! Please correct me

if i got it wrong. :D

7 0
2 years ago
Find the distance between the points. Round to the nearest tenth.<br> (1, 3) and (5.0)
Anna35 [415]

Answer:

1,2. 6.0

Step-by-step explanation:

That is the answer

5 0
2 years ago
Read 2 more answers
If average of 3 quantities is 15 , sum of quantities is....?
Verizon [17]

Answer:

45

Step-by-step explanation:

Let the three quantities be x, y and z.

\because \: average =  \frac{sum \: of \: quantities}{no \: of \: quantities}  \\  \\  \therefore \: 15 =  \frac{x + y + z}{3}  \\  \\ 15 \times 3 = x + y + z \\  \\ \huge \purple{ 45 = x + y + z}

8 0
2 years ago
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