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Alchen [17]
3 years ago
12

I need help with these questions (see image). Please show workings.​

Mathematics
2 answers:
shtirl [24]3 years ago
5 0

Answer:

  • Inscribed angle is half of the intercepted arc.
  • Central angle is the same size as the intercepted arc.

<u>As per above two statements we have:</u>

  • y = 2*58° = 116°

and

  • z = 90°/2 = 45°
Bingel [31]3 years ago
3 0

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

You might be interested in
What is 36÷2/3×9×1/2
krok68 [10]

Answer:

1/3

Step-by-step explanation:

Simplify the following:

((36/2)/(3×9))/2

((36/2)/(3×9))/2 = 36/(3×9×2×2):

36/(3×9×2×2)

36/9 = (9×4)/9 = 4:

4/(3×2×2)

4/2 = (2×2)/2 = 2:

2/(3×2)

2/(3×2) = 2/2×1/3 = 1/3:

Answer: 1/3

6 0
3 years ago
Read 2 more answers
Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
I will upvote and give brainliest answer
Citrus2011 [14]

Answer:

x = 58 degrees

Step-by-step explanation:

Angle K (which is x) and Angle I are congruent corresponding angles with one another, so if, as an example, Angle I was 10, Angle K would also be 10.

<u><em>All you need to do in this case is add Angle H (56) and Angle A (66) together:</em></u>

56 + 66 = 122

<u><em>Then subtract 122 from 180 (because triangles add up to 180 degrees) to get x:</em></u>

180 - 122 = 58

So, x = 58 degrees.

7 0
3 years ago
A hamster runs at 17 centimeters per second in a wheel of radius 15 centimeters how fast will the wheel spin in revolutions per
dolphi86 [110]

Answer:

10.82 revolutions per mintue

Step-by-step explanation:

First we need the circumference of the cirkel. As you may know the formula for that is 2×pi×r, with r as the radius of the cirkel. So 2×pi×15=30pi centimeters or 94.24 centimeters. Now we will calculate the fraction of 17 centimeters on 94.24 centimeters. 17/94.24=0.18. That is how fast the wheel will spin. To get it in minutes we now do: 0.18×60=10.82 revolutions per minute.

4 0
3 years ago
Please help me asap! I will give brainly!
NemiM [27]

Answer:

Figure 4 : 9 by 4 rectangle

17 red squares is figure 8

51 yellow squares

The pattern is +2 for the length, and the width stays the same. Hope this helped. :)

7 0
3 years ago
Read 2 more answers
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