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mel-nik [20]
3 years ago
7

Study the diagram of circle B. Points C, R, and V lie on circle B. The radius, BC¯¯¯¯¯¯¯¯, and the diameter, VR¯¯¯¯¯¯¯¯, are dra

wn. Arc CR has a measure of 90∘. If m∠VBC=(3x+4)∘, what is the value of x?

Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Answer:

<h2>D. x ≈ 31.3°</h2>

Step-by-step explanation:

The triangle CBV is angled triangle with right angle at ∠VBC.

Since  ∠VBC = (3x-4) °

To get the value of x, we will equate the angle  ∠VBC to 90°

This results into (3x-4) ° = 90

Simplifying the resulting equation;

3x-4 = 90

Adding 4 to both sides;

3x-4+4 = 90+4

3x = 94

Dividing both sides by 3

3x/3 = 94/3

x = 31.33°

x ≈ 31.3°

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Five decreased by twice a number is same as five less than<br> three times the number.
sergejj [24]
Answer: If you are suppose to write an algebraic expression it is: 5 - 2x = 3x - 5
If you are suppose to solve the answer is:
5-2x=3x-5
-2x=3x-10
-5x=-10
x=2
8 0
2 years ago
What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the qua
scoundrel [369]
\frac{x + 4}{7} -\frac{x + 3}{x + 5} =\frac{(x + 4)(x + 5)}{7(x + 5)} -\frac{7(x + 3)}{7(x + 5)} =\frac{x(x + 5) + 4(x + 5)}{7(x) + 7(5)} - \frac{7(x) + 7(3)}{7(x) + 7(5)} =\frac{x(x) + x(5) + 4(x) + 4(5)}{7x + 35} - \frac{7x + 21}{7x + 35} =\frac{x^{2} + 5x + 4x + 20}{7x + 35} -\frac{7x + 21}{7x + 35} =\frac{x^{2} + 9x + 20}{7x + 35} - \frac{7x + 21}{7x + 35} =\frac{(x^{2} + 9x + 20) - (7x + 21)}{7x + 35} =\frac{x^{2} + (9x - 7x) + (20 - 21)}{7x + 35} =\frac{x^{2} + 2x -1}{7x + 35}
3 0
2 years ago
Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown. Mike: 16
-BARSIC- [3]

Answer:

The correct option is;

Mike's measurement are more precise and more accurate

Step-by-step explanation:

The given information are;

The mass of the measured bottle = 16-ounce

The record of the measurements made by Mike are;

16.4 oz

15.2 oz

15.8 oz

The record of the measurements made by Teegan are;

16.34 oz

16.59 oz

15.13 oz

From the two measurements, we have;

The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;

For Mike, the precision is given as follows

16.4 - 15.2 = 1.2

16.4 - 15.8 = 0.6

15.8 - 15.2 = 0.6

Total difference = 1.2 + 0.6 + 0.6 = 2.4

For Teegan , the precision is given as follows

16.59 - 16.34 = 0.25

16.59 - 15.13 = 1.46

16.34 - 15.13 = 1.21

Total difference = 0.25 + 1.46 + 1.21 = 2.92

Therefore, Mike's measurements are more precise than Teegan's measurements

The accuracy of the measurement is the amount of closeness the measurements are to a given value

In the question, the given value is 16-ounces of the volume of the bottle

Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;

For Mike;

Mean \ absolute  \ deviation = \dfrac{\left | 16.4 - 16 \right | + \left | 15.2 - 16 \right | + \left | 15.8 - 16 \right | }{3} = 0.533

For Teegan, we have;

Mean \ absolute  \ deviation = \dfrac{\left | 16.34 - 16 \right | + \left | 16.59 - 16 \right | + \left | 15.13 - 16 \right | }{3} = 0.6

Therefore, Mike's measurement is more accurate than Teegan's measurement.

Which gives;

Mike's measurement are more precise and more accurate.

9 0
3 years ago
What is the solution to the system of equations y=-1/3x+9 and y=2/3x+12
amm1812

Answer:

{x = -3 , y = 10

Step-by-step explanation:

Solve the following system:

{y = 9 - x/3 | (equation 1)

{y = (2 x)/3 + 12 | (equation 2)

Express the system in standard form:

{x/3 + y = 9 | (equation 1)

{-(2 x)/3 + y = 12 | (equation 2)

Swap equation 1 with equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{x/3 + y = 9 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{0 x+(3 y)/2 = 15 | (equation 2)

Multiply equation 1 by 3:

{-(2 x) + 3 y = 36 | (equation 1)

{0 x+(3 y)/2 = 15 | (equation 2)

Multiply equation 2 by 2/3:

{-(2 x) + 3 y = 36 | (equation 1)

{0 x+y = 10 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(2 x)+0 y = 6 | (equation 1)

{0 x+y = 10 | (equation 2)

Divide equation 1 by -2:

{x+0 y = -3 | (equation 1)

{0 x+y = 10 | (equation 2)

Collect results:

Answer:  {x = -3 , y = 10

3 0
3 years ago
15 less than 2 times a number is represented by the algebraic expression of 2h - 15. True or false
Advocard [28]
False here are extra words tho make 20 words
8 0
2 years ago
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