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3 years ago

Point O is the center of the given circle. What is the measure of YZ?

Mathematics

2 answers:

Rina8888 [55]3 years ago

6 0

Let a chord join YZ, then angle XYZ = 90° and angle XZY = 90 - 54 = 36°
angle OYZ = angle XZY = 36°

Therefore, the measure of YZ = 180 - 36 - 36 = 108°

timama [110]3 years ago

5 0

Answer:

Step-by-step explanation:

Please refer the diagram I have attached.

Alright, lets get started.

As O is the center, OX and OY will be same because both are radius.

So, the angle OYX will also be 54 degrees.

In triangle OYZ, the angle OYZ = $90-54=36$

As OY and OZ are same because both will be radius.

Angle YZO will also be 36 degree.

the sum of all three angles will be 180, so

Angle YOZ = $180-36-36=108$

Hence the measure of arc YZ will be 108.

Hope it will help :)

You might be interested in

Find the surface area of the rectangular box below

REY [17]

Answer:

SA = 904 in.²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

l = 36 in.
w = 10 in.
h = 2 in.

Substitute the given values and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(36)(10) + 2(10)(2) + 2(2)(36)

SA = 2(360) + 2(20) + 2(72)

SA = 720 + 40 + 144

SA = 904 in.²

Hope this helps!

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2 years ago

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jenyasd209 [6]

The expression that represents the number of days until only 10% remains is

T((d) 10%) = 100 • (1/2)^3.322

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3 years ago

Which statement about g(x)=x^2-576 is true

goldenfox [79]

We can answer without the picture or answer options

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3 years ago

If f(1) = 2 and f(n) = –2f(n − 1) then find the value of f(5).

dybincka [34]

Answer: 2f

Explanation:

f(1)=8

f(2)= 2(8) = 16

f(3) = 2(16) = 32

f(4) = 2(32) = 64

f(5) = 2(64) =128

6 0

2 years ago

Which of the following statements is false?

kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

$\frac{1}{4} + \frac{1}{5} = \frac{9}{20}$

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0

3 years ago