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mamaluj [8]
3 years ago
8

Given: measure of arc ED = 50° m∠EDK = 80° Find: ∠DSK

Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0

Answer:

75°

Step-by-step explanation:

∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...

∠ESK = ∠ESD + ∠DSK

you have ...

100° = 25° + ∠DSK . . . . fill in known values

75° = ∠DSK . . . . . . . . . . subtract 25°

_____

Regarding opposite angles of an inscribed quadrilateral

Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.

This is why we can say ∠ESK is the supplement of ∠EDK.

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Step-by-step explanation:

due to the fact that it is just about a reflection but the thing is that it must be around 90, but it really depends on the angle you measure it at.

6 0
2 years ago
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anzhelika [568]
What type of math is this??? Geometry? Algebra?
7 0
3 years ago
The vertex of this parabola is at (-1,-3) which of the following could be its equation
Gnesinka [82]
Since these are parabolas with y being squared, the standard form of such a parabola with vertex at (h, k) is 

<span>x = a(y - k)^2 + h </span>

<span>There are no steps. Just look at what is inside the parentheses and compare it to (y - k) with k = -3. </span>
<span>Then look at what is added and compare it to h = -1. </span>

<span>For instance, A has (y + 1) in parentheses. So k = -1. And it has -3 added, so h = -3. That would be a vertex at (-3, -1).</span>
6 0
3 years ago
Read 2 more answers
How many five-minute segments are in 1/4 hour?
amid [387]

Answer: 3

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6 0
3 years ago
Which function does this graph represent? A. F(x) = 3(x 1)2 2 B. F(x) = -3(x 1)2 2 C. F(x) = -3(x 1)2 − 2 D. F(x) = 3(x − 1)2 2.
zubka84 [21]

By analysing graph and then checking for all options we got that graph represent the function F(x) = -3(x +1)^2+ 2

<h3>What is function ?</h3>

Function is a relation from one set to another with a property that every element of a first set has a unique image in second set.

Here by looking at graph we can say that graph is if a quadratic equation

and it passes through (0,-1) and also from (-1,2)

Now we will check all options

(1)

Given function is

F(x) = 3(x +1)^2+ 2

Put x=0

F(0) = 3(0+1)^2+ 2=3+2=5

This function not passes through point (0,-1)

(2)

Given function is

F(x) = -3(x +1)^2+ 2

Put x=0

F(0) = -3(0+1)^2+ 2=-3+2=-1

Put x= -1

F(-1) = -3(-1 +1)^2+ 2=0+2=2

This function passes through both points (0,-1) and (-1,2)

(3)

Given function is

F(x) = -3(x +1)^2- 2

Put x= -1

F(-1) = -3(-1 +1)^2-2=0-2=-2

This function not passes through point (-1,2)

(4)

Given function is

F(x) = 3(x +1)^2+ 2

Put x=0

F(0) = 3(0+1)^2+ 2=3+2=5

This function not passes through point (0,-1)

By analysing graph and then checking for all options we got that graph represent the function F(x) = -3(x +1)^2+ 2

To learn more about function visit : brainly.com/question/25638609

5 0
2 years ago
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