Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.

The diagram as described in the problem.



Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB

Examine Circle O, Where Chords AB And CD Are Congruent.Point P Lies On AB And Point Q Lies On CD.Angles

Answers

Answer 1

Answer:

Option 3

Step-by-step explanation:

Given:

AB ≅ CD

Point P lies on AB and point Q lies on CD.

∠APO = ∠DQO = 90°

By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.

Therefore, OP and OQ will be congruent.

Option (3) will be the answer.


Related Questions

PLS how to do this 3 sums

Answers

Answer:

Step-by-step explanation:

7) PQ // RS,  RQ is transversal

x = 38 {Alternate interior angles are congruent}

In ΔPQR ,

x + y + ∠P  = 180   {Angle sum property of triangle}

38 + 90 + y = 180

  128 + y =  180

           y = 180 - 128

y = 52

9) Construct XY // AB

XY // AB  & AC is transversal

∠1 = ∠4     ---------(I)      {alternate interior angles are equal}

XY // AB  & BC is transversal

∠3 = ∠5     ---------(II)      {alternate interior angles are equal}

∠1 + ∠2 + ∠3 = 180   {straight line angles}

∠4 + ∠2 + ∠5 = 180    {From (I) & (II) }

Sum of three angles of triangle is 180.Hence proved.

Use the work shown below to find the simplified product

Answers

Given:

The expression is:

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

To find:

The simple product.

Solution:

We have,

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

It can be written as:

[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]

Cancel out the common factors.

[tex]=\dfrac{5\times x}{x+3}[/tex]

[tex]=\dfrac{5x}{x+3}[/tex]

Therefore, the correct option is C.

You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50





represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.

(Choose 2)

Answers

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.

Select the correct location in the expression.
Consider this expression.
4x^4-6x^3+6x+3/x-3
Which term in the quotient of this expression contains an error?

Answers

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]

We have to find the term in this expression  which contains an error.

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]=4x^3+6x^2+18x+60[/tex]

[tex]Dividend=Divisor\times quotient+ remainder[/tex]

Using the formula

[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?

(show your work) ​

Answers

Answer:

$51.38

Step-by-step explanation:

7.43% of 47.83=(rounded to the nearest hundredth) 3.55

7.43/100*x/47.83

x=3.55

because we are solving for x

we can also cross check by taking out the percentage

x/100*3.55/47.83

47.83x=355

x=7.42212000836

which is about 7.43%

47.83+3.55= 51.38

Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x

Answers

Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

please help! see question below :)

Answers

Answer:

I have no clue sorry bro.

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?

What is the area of the garden?

Answers

Answer:

15 feet width of actual garden

360 feet^2 is area

Step-by-step explanation:

Scale in drawing:

width : length

5 : 8

Actual Meausrements:

x: 24

Actual Width = 5:8

                        x : 24

                       8x = 24 x 5

                       8x = 120

                       120/8 = 15

Area of garden= lxw

15 x 24

= 360 feet^2

Answer from Gauthmath

Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand

Answers

Answer:

1) 44  

a) 7 + 37

b) 3 + 41

c) 13 + 31

2) 36

a) 5 + 31

b) 7 + 29

c) 17 + 19

3) 24

a) 5 + 19

b) 7 + 17

c) 11 + 13

4) 18

a) 5 + 13

b) 7 + 11

Expressing the numbers as sum of two odd primes we have,

44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7

What is Prime Number?

Prime numbers are numbers which are only divisible by 1 and itself.

Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...

What is Odd number?

Odd numbers are numbers which are not divisible by 2.

Odd numbers are give by: 1,3,5,7,9,11,.....

2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.

So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....

Expressing the give numbers as the sum of odd prime numbers we get,

A) 44

41+3 = 44

37+7 = 44

31+13 = 44

B) 36

31+5 = 36

29+7 = 36

23+13 = 36

19+17 = 36

C) 24

19+5 = 24

17+7 = 24

13+11 = 24

D) 18

13+5 = 18

11+7 = 18

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Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?

Answers

11 boxes.

Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.

Plot each angle on the unit circle below. You will need to draw additional radius segments

○ 0, 30, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330

Determine the radian measure for each angle

Determine the Sin, Cos, Tan for each angle

Use 0 as an example

Upload your completed circle in the dropbox provided.

Answers

Solution :

Trigonometric angles :

The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.

Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.

THIS HURTS MY HEAD SO I CANT FOCUS, PLEASE HELP!
find the missing part of the pattern:
69388966938896?988963

Answers

693889669388963988963

Answer:

6

Step-by-step explanation:

help plsssssssssssssssssss

Answers

Answer:

The equation is:

y=5x-2

Answer:

write -3+6^x

Step-by-step explanation:

ur answer is true actually just don't write 'y='

HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!

Answers

Trapezoid, plot the points down on a graph

Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV

Answers

Answer:

12

Step-by-step explanation:

because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12

The required value of the PV is 12 in triangle DEF where p is the incenter.


Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

What is incenter?

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV
PV = 12


Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.

Learn more about incenter here:
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first answer gets marked brainliest!!!

Answers

Answer:

in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s

hope that helps ❤

James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?

Answers

Last year He was 7 years old.

His father is 4 times the age 7 x 4 = 28

Last year his dad was 28, so this year he is 29.

Combined age this year = 29 + 8 = 37

51 - 37 = 14 years

14/ 2 people = 7 years

8 + 7 = 15

29 + 7 = 36

15 + 36 = 51

It will take 7 years.

How to find the area of this figure pls?

Answers

6 x 10 should be the answer

f(x) = 275
1. Find the inverse of f(x) and its domain.

Answers

Answer:

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Step-by-step explanation:

f(x) = 1/(x+5) -1

y =  1/(x+5) -1

Exchange x and y and solve for y

x =  1/(y+5) -1

x+1 = 1/(y+5)

Multiply by (y+5)

(x+1) (y+5) = 1

Divide by (x+1)

y+5 = 1/(x+1)

Subtract 5

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?

Answers

Answer:

12.5 % was spent

Step-by-step explanation:

How much did he start with

20 + 140 = 160

He spent 20

20/160 = 1/8

.125

12.5 % was spent

Answer:

12.5%

Step-by-step explanation

ok so

20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%

Solve the inequality 4 is greater than n over -4

Answers

Answer:

4 > [tex]-\frac{n}{4}[/tex]

-16 > n

Step-by-step explanation:

Greater than would mean that the "arrow" is not facing the number. It would mean it is larger than the other number. Also, you have to construct the other part of the inequality which would be [tex]-\frac{n}{4}[/tex].

4×4 > [tex]-\frac{n}{4}[/tex]×4

16 > -n

-16 > n

Did I do this right?

Answers

Answer:

it must be yes!

Step-by-step explanation:

Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?

Strikes (pre): 29 32 44 34 19

Strikes (post): 51 45 68 92 64


Write the Hypotheses:

H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________

H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________

Answers

Answer:

H0 : The mean difference in strikes between pre and post strike is equal to 0

H1 : The mean difference in strikes between pre and post strike is not equal to 0

Step-by-step explanation:

The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.

For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.

What is the answer I need help ASAP be truthful

Answers

Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

what is the sum of the first 5 terms of a geometric series with a sub 1 = 10 and r = 1/5?

Answers

Answer:

12.496

Step-by-step explanation:

a=10 (first term)

r= 1/5 (common ratio)

sum of first five terms

[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]

=10{1-⅕⁵} ÷ 1-⅕

=10{1 - 1/3125} ÷ 4/5

=10{3124/3125} ÷ 4/5

=9.9968÷0.8

=12.496.

OR

a+ar+ar²+ar³+ar⁴

=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)

=10+2+0.4+0.08+0.016

=12+0.48+0.016

=12.496

What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches

Answers

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.

Answers

Answer:

Step-by-step explanation:

So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.  

Year 1 total: $2136.33

Year 2 total:$2173.29

Year 3 total:$2210.89

Year 4 total:$2249.14

Year 5 total:$2288.05

Total Paid After 5 years:$11057.70

Year 1 total interest:$36.33

Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91

Total Interest paid after 5 years:$188.05

Solve the following word problems:​

Answers

Answer:

His loss is 90

He sold it 1710

Step-by-step explanation:

1) 1800x5/100= 90

2) 1800-90=1710

Answer:

Step-by-step explanation:

CP = ₹1800

Loss  = 5%

[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]

= ₹  1710

Loss = CP - SP

        = 1800 - 1710

        = ₹ 90

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
please show steps!!

Answers

Answer:

x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Step-by-step explanation:

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

x

The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

so, we get,

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

Hence, The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3.

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