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Varvara68 [4.7K]
2 years ago
11

The radius of circle O is 28, and OC =9. What is the length of AB?

Mathematics
1 answer:
aksik [14]2 years ago
7 0
The answer:
the complement of the question proposed one of the choices given beneath:
a) 58.8
b) 53.0
c) 29.4
d) 26.5

as we observe at the figure, AOB an isosceles triangle, and OCB is a right triangle

consider OCB
OC =9, OB= radius = 28
the problem is how to find the length of CA, for that C is a midpoint of segment AB, so AC=BC

BC can be found by using pythagorean theorem
OB²= OC² + CB²,  this implies CB² = OB² - OC²

CB² = 28² - 9² = 784 - 81=703, therefore CB= sqrt (703)=26.51

CB=26.51, since CB= AC, so  AC=CB= 26.51

finally the <span>the length of AB is AB = 2 x CB = 2x AC= 2x 26.51= 53.0
</span>
the answer is b) 53.0

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In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x
miv72 [106K]

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

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3 years ago
Please HELP ME ON THIS MATH WRITTEN RESPONSE QUESTION.. THANK YOU
sergij07 [2.7K]

Answer:

Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.

Step-by-step explanation:

Point A is (-4,6)

Point B is (-12,-12)

Point C is (6,-18)

Point D is (13,-1)

Given that the diagonals of a square are perpendicular to each other;

We know that the product of slopes of two perpendicular lines is -1.

So, slope(m) of AC × slope(m) of BD should be equal to -1.

Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4

Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44

The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056

Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.

4 0
3 years ago
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brilliants [131]

Answer:

The answer is 100% without a doubt A

Step-by-step explanation:

3 0
3 years ago
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
MrRissso [65]

Answer:

If b is 3, x=-1

Step-by-step explanation:

-2(3x-5)=16

use distributive property

-6x+10=16

take 10 away from both sides

-6x=6

divide both sides by -6

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6 0
2 years ago
A pharmacist added 50 g of drug to make a total of 200 mL of solution. What is the percentage of drug in the resultant solution?
Bad White [126]

Answer: 25%

Step-by-step explanation:

Given : A pharmacist added 50 g of drug to make a total of 200 mL of solution.

Here, Resultant solution =  200 mL

Amount of drug = 50 g

We know that 1 gram = 1 ml

So, we can say the amount of drug = 50 ml

Now, the percentage of drug in the resultant solution:-

\dfrac{50}{200}\times100=25\%

Hence, the percentage of drug in the resultant solution= 25%

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3 years ago
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