1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka57 [31]
3 years ago
5

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.

You might be interested in
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
Other questions:
  • Please helpp pleaseee​
    9·1 answer
  • Please answer this question
    13·1 answer
  • How many subsets of 1,2,3,4,6,8,10,15 are there for which the sum of the elements is 15
    15·1 answer
  • On a given day, 36 of the 445 students in a school were absent. What was the appproximate absentee rate that day?
    12·1 answer
  • Evaluate.<br><br><br><br> 2 • {[5 • (60 – 14 ÷ 7)] + 25} • 5
    10·1 answer
  • Convert the measurement as indicated. <br> 91qt=_gal_qt
    12·1 answer
  • I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!
    15·1 answer
  • Help and i will give you brainiest
    5·1 answer
  • Please solve fast, easy question
    13·2 answers
  • For which function is it true ???<br> -
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!