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scZoUnD [109]
2 years ago
11

What is true regarding two adjacent arcs created by two intersecting diameters?

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
7 0

Given:

Two diameters intersect each other.

To find:

The correct statement regarding two adjacent arcs created by two  intersecting diameters.

Solution:

We know that, two diameter intersect each other at origin and measure of arc is equal to the corresponding angle generated by the intersection of diameters.

If two lines intersect each other then we get 4 angles and sum of any two adjacent angles is 180°.

It means the sum of any two adjacent central angles generated by the intersection of diameters is 180°.

So, the sum of two adjacent arcs created by two  intersecting diameters is 180°.

Therefore, the correct option is C.

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Distance between points (1,2) (4,3)
GREYUIT [131]

Answer:

3.1

Step-by-step explanation:

5 0
3 years ago
Simplify 4x^6/2x^4 step by step <br><br> please<br><br> thanks
mrs_skeptik [129]
Ok so you have 4, x^6 / 2, x^4. Now divide the coefficient so 4/2=2. So 2 x^6/x^4, now subtract the numerator by the denominator so x^6-x^4=x^2 so now you have 2x^2

Answer: 2x^2
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3 years ago
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
den301095 [7]

Answer:  

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

(x,y)\rightarrow (kx,ky)

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

(1,2)\rightarrow (2\times 1, 2\times 2)

(3,2)\rightarrow (2\times 3, 2\times 2)

(1,-1)\rightarrow (2\times 1, 2\times -1)

(3,-1)\rightarrow (2\times 3, 2\times -1)

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)




3 0
3 years ago
Read 2 more answers
Solve In (2x+3)=7 round to the nearest thousandth
e-lub [12.9K]
To solve this problem you must apply the proccedure shown below:

 1. You have:
<span>
 In(2x+3)=7

 2. Then, you must apply log(e), as below:
</span><span>
 In(2x+3)=ln(e^7)

 3. Now, you obtain:

 2x+3=e^7

 4. Youy must clear the variable "x", as below:

 2x=e^7-3
</span> x=(e^7-3)/2
<span>
 5. Therefore, the value of "x" is:

 x=546.817
</span><span>
 The answer is: </span>x=546.817<span> </span>
8 0
2 years ago
Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.
lesya [120]

Answer:

0.1994 is the required probability.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851

P(sample of 20 boxers is more than 167 pounds)

P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)

= 1 - P(z \leq 0.8438)

Calculation the value from standard normal z table, we have,  

P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0
2 years ago
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