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3 years ago

Given: Z1 is complementary to 22.

Mathematics

1 answer:

bazaltina [42]3 years ago

5 0

Answer:

Option (2)

Step-by-step explanation:

Statements Reasons

1). ∠1 is comp. to ∠2 1. Given

2). ∠2 is comp. to ∠3 2. Given

3). ∠1 + ∠2 = 90° 3. def. of comp. angles

4). m∠1 = 90° - ∠1 4. Subtr. equality property

5). m∠2 + m∠3 = 90° 5. def. of comp. angles

6). m∠3 = 90° - m∠2 6. subtr. equality property

7). m∠1 = m∠3 7. Transitive property

Option (2) will be the answer.

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The two polygons above are similar. The scale factor of the smaller polygon to the larger polygon is 3. The area of the smaller

Softa [21]

You would think it was 3 * 12 = 36. Not so. All polygons have to be broken down into some figure that will give 2 dimensions that are at right angles to each other. That would mean that
d1 * d2 = Area for the small polygon
3d1 * 3d2 = area of the larger polygon

What that means is that the area of the larger one is 9 times the smaller one.
Area large = 12 * 9 = 108 square units. <<<<< answer.

If you find this hard to be leave try it with a square.
Suppose you have a square (the small one) that is 3 cm by 3 cm
The small one has an area of 3*3 cm^2 = 9 cm

Now you have another square that is 3 times larger. That means that each side is 3*3 = 9
So s = 9
Area = s^2
Area = 9^2 = 81 cm^2
81 is 9 times larger than 9 just as you would think.

4 0

3 years ago

To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed 4 times. The

zhannawk [14.2K]

Answer:

(0.9464,1.034)

Step-by-step explanation:

First find the mean μ of all values as;

(0.95+1.02+ 1.01+ 0.98 ) /4 =0.99

μ=0.99

Find the standard deviation as;

-For each value subtract the mean and square the results

0.95-0.99 = -0.04 , -0.04² = 0.0016

1.02-0.99= 0.03, 0.03²=0.0009

1.01-0.99= 0.02, 0.02²= 0.0004

0.98-0.99 = -0.01, -0.01²=0.0001

Find mean of squared deviations as;

(0.0016+0.0009+0.0004+0.0001)/4 =0.00075 ----variance

Standard deviation = √0.00075 = 0.0274

δ = 0.0274

n=4

Thus n< 30 , confidence interval for μ = x ± t*δ/√n ---------(i)

Degree of freedom (df) = n-1 =4-1 =3

The t value for 95% confidence with df= 3 is t=3.182

Substituting the values in equation (i)

0.99 ± 3.182 * 0.0274/√4

0.99 ± 3.182 * 0.0274/2

0.99 ± 3.182 * 0.0137

0.99 ± 0.0436

(0.9464,1.034)

8 0

3 years ago

How do I solve for a

qwelly [4]

Answer:

using the pythagoras theorem the answer is a=3

Step-by-step explanation:

basically in a right angled triangle a² + b² equals c². in this equation c is the number on the hypotenuse (the line opposite the right angle)

and 4 could be a or b it doesnt make a difference so I'll call it b.

because we have c² and b² we work backwards like this:

${5}^{2} - {4}^{2} = {a}^{2}$

${5}^{2} - {4}^{2} = 25 - 16 = 9$

because 9 is a², we must find the square root to find <em>a</em>

$\sqrt{9 } = 3$

so a equals 3

3 0

3 years ago

Maya works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $7.80 an hour for babysitting.

anyanavicka [17]

Answer:

total of 46.6 dollars

Step-by-step explanation:

8.60x1= 8.60

5x7.80= 39

5 0

3 years ago

Evaluate if m equals 10 + n equals 12: n-m+2n÷12 can you please show me how you got this answer

Anna71 [15]

Plug in m=10 n=12
$12 - 10 + 2(12) + 12 \\ 12 - 10 + 24 + 12 \\ 2 + 24 + 12 \\ 26 + 12 \\ = 38$

7 0

3 years ago