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Korvikt [17]
3 years ago
10

Solve for x. Round to the nearest hundredth

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

D

Step-by-step explanation:

We name the corners of the triangle as the attached image.

As we can see, triangle ABC is a right-angled triangle with Angle B equal to 90 degree.

As ABC is a right triangle, so that total measures of angle A and angle C is 90 degree

=> m∠A + m∠C = 90

=> m∠A + 45 = 90

=> m∠A = 90 - 45 = 45

=> m∠A = m∠C

So that ABC is also an isosceles triangle.

=> AB = AC  = x

As ABC is a right triangle, according to Pythagoras theorem, we have the following equation:

AB^2 + BC^2 = AC^2

=> x^2 + x^2 = 20^2

=> 2.x^2 = 400

=> x^2 = 400/2 = 200

=> x = 10\sqrt{2} ≈ 14.14

So that x ≈ 14.14, the correct answer is D

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In Problems 1-8, determine the level of measurement of each variable.
lbvjy [14]

The level of measurement of each given variable are:

1. Ordinal

2. Nominal

3. Ratio

4. Interval

5. Ordinal

6. Nominal

7. Ratio

8. Interval

Level of measurement is used in assigning measurement to variables depending on their attributes.

There are basically four (4) levels of measurement (see image in the attachment):

1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.

  • Examples of variables that fall under the measurement are: Favorite movie, Eye Color.

<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.

  • Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.

<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.

  • Examples of the variables that fall here include: Monthly temperatures, year of birth of college students

4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.

  • Examples are: ages of children, volume of water used.

Therefore, the level of measurement of each given variable are:

1. Ordinal

2. Nominal

3. Ratio

4. Interval

5. Ordinal

6. Nominal

7. Ratio

8. Interval

Learn more about level of measurement here:

brainly.com/question/20816026

3 0
2 years ago
I need to determine each angles measure. M 4<br><br> M 6
Ulleksa [173]
By geometrical inspection we have:
 M4 = 30
 Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
 180-90-30 = 60 = M3
 Then to find M6 we have
 M3 + 60 + M6 = 180
 M6 = 180-60-M3
 M6 = 180-60-60
 M6 = 60
 answer:
 M4 = 30
 M6 = 60
7 0
3 years ago
Is y =3/4x +2 And -6x+8y=16 parallel or coincident
Rudiy27

Answer:

parallel

Step-by-step explanation:

y=3/4x+2

Multiply the equation by 8:

8y=6x+16

(8y-6x)=16

and you can clearly see that they're same

4 0
3 years ago
There is a small pond which is 8 metres long, 4 metres wide and 2 metres deep. What is the volume of the pond?
Rama09 [41]
8 x 4 x 2 = 64
Therefore the volume of the pond is equal to 64m³
5 0
3 years ago
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From the table below, determine whether the data shows an exponential function. Explain why or why not.
Ierofanga [76]
X        Δx                                   y             Δy

3                                               1          

1        1 - 3 = - 2                        2             2 - 1 = 1

-1        -1 - 1 = -2                      3              3 - 2 = 1

-3        -3 - (-1) = -2                  4               4 - 3 = 1


So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. => Δy / Δx = constant.

That is the result of a linear function, not an exponential one.

So, the true statement is given by the option <span>(A) No; the domain values are at regular intervals and the range values have a common sum 1. </span>
8 0
3 years ago
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