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3 years ago

If a radius of a circle bisects a chord which is not a diameter, then ______

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

4 0

Frst, some notation. Let AB be a chord on circle O, and let CD be a diameter of O that passes through AB at M.

ch4aika [34]3 years ago

3 0

Answer:

the radius is perpendicular to the chord.

Step-by-step explanation:

The geometry is drawn in the image shown below in which AB is the chorh and O is the centre of the circle. Om is the radius which bisects the chord.(Given) So, AN = NB

From the image, considering ΔAON and ΔBON,

AO = BO (radius of circle)

AN = NB (given)

ON = ON (common)

So,

ΔAON ≅ ΔBON

Hence, ∠ANO = ∠BNO

Also, ∠ANO + ∠BNO = 180° (Linear Pair)

So,

∠ANO = ∠BNO = 90°

Hence, it is perpendicular to the chord.

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One number exceeds another by 5 the sum of the numbers is 37 . What are the numbers

Eduardwww [97]

One number = x
Another number = y

x = y + 5
x + y = 37

(y + 5) + y = 37
2y + 5 = 37
2y = 32
y = 16

x = (16) + 5
x = 21

The numbers are 16 and 21.

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Answer:

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Step-by-step explanation:

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oksian1 [2.3K]

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Step-by-step explanation:

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3 years ago

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

inna [77]

Given

$-2x-2y=8$

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

$\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}$

-Divide both sides by -2:

$\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}$

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

$\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}$

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

$\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}$

As you can see the values are a valid solution for the linear equation.

So the solution is:

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1 year ago