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cluponka [151]
3 years ago
13

Given: Circle O with diameter LN and inscribed angle LMN Prove: is a right angle. What is the missing reason in step 5? Statemen

ts Reasons 1. circle O has diameter LN and inscribed angle LMN 1. given 2. is a semicircle 2. diameter divides into 2 semicircles 3. circle O measures 360o 3. measure of a circle is 360o 4. m = 180o 4. definition of semicircle 5. m∠LMN = 90o 5. ? 6. ∠LMN is a right angle 6. definition of right angle HL theorem inscribed angle theorem diagonals of a rhombus are perpendicular. formed by a tangent and a chord is half the measure of the intercepted arc.
Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

Inscribed angle theorem

Step-by-step explanation:

This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°,  because segment LN is the diameter of the circle. Then, by the theorem:

∠LMN = (1/2)*arc LN = (1/2)*180° = 90°

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Can someone help with this!
Sveta_85 [38]

In the given image, a_{23} is 5. The correct option is the first option 5

<h3>Matrix notation</h3>

From the question, we are to determine which entry in the given matrix represents a_{23}

NOTE: For any entry denoted as a_{mn}, it represents the entry in the <em>m</em>-th row and <em>n</em>-th column.

Thus,  

 a_{23} represents the entry in the 2nd row and 3rd column.

In the given image, the entry in the 2nd row and 3rd column is 5.

Hence, in the given image, a_{23} is 5. The correct option is the first option 5

Learn more on Matrix notation here: brainly.com/question/2382978

#SPJ1

5 0
2 years ago
X=1/16y^2 the directrix of the parabola is
yan [13]
To solve this problem you must apply the proccedure shown below:

 1. You have the following equation of a parabola, given in the problem above:

 x<span>=1/16y^2

 2. Then, based on the graph attached, you have:

 p=y^2/4x
 p=8^2/(4)(4)
 p=64/16
 p=4

 3. The directrix is:

 directrix=h-p
 directrix=0-4
 directrix=-4

 The answer is:-4</span>

3 0
3 years ago
Which pair represents equivalent ratios?
TEA [102]

Answer:

D

Step-by-step explanation:

We can test each pair making each ratio into its simplest form.

For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.

For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.

For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.

For D, 4/10=2/5, and 12/30=2/5. They are equivalent.

5 0
1 year ago
Read 2 more answers
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v&gt;=2i-4tj^
guapka [62]

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j

B )

Acceleration a is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j

Hence , this is the required solution .

5 0
3 years ago
The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container
pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

V=\frac{3}{4}(r^{3}\pi)

Where r is the radius.

2. The diameter is:

D=2r

3. So, you must solve for the radius in the first equation:

r=\sqrt[3]{\frac{4V}{3\pi}} 

r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft

4. Then, the diameter is:

D=2(6.94ft)\\D=13.88ft


8 0
3 years ago
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