30 points!!!
AOC and BOD are diameters of a circle, centre O. prove that triangle ABD and triangle DCA are congruent by RHS.

30 Points!!!AOC And BOD Are Diameters Of A Circle, Centre O. Prove That Triangle ABD And Triangle DCA

Answers

Answer 1
Final answer:

Triangle ABD and triangle DCA can be proven congruent using the RHS congruence criterion.

Explanation:

To prove that triangle ABD and triangle DCA are congruent using the RHS (Right Angle, Hypotenuse, Side) congruence criterion, we need to show that they have a right angle, an equal hypotenuse, and an equal side adjacent to the right angle.

Since AOC and BOD are diameters of the circle, we know that they are perpendicular to their respective radii.Therefore, angle AOB is a right angle, and triangle AOB is a right triangle.Since AO and BO are radii of the same circle, they have the same length, making the hypotenuse AB of triangle ABD equal to the hypotenuse BD of triangle DCA.Furthermore, angle ABD and angle CDA are both subtended by the same arc AD, so they are equal in measure.Finally, the adjacent sides to the right angles, AB and DC, are also equal as they are radii of the circle.

Therefore, by the RHS criterion, triangle ABD and triangle DCA are congruent.

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Related Questions

please help me with this fast​

Answers

Answer:

5

Step-by-step explanation:

A negative plus a negative equals a positive so the equation would be 4 1/3 + 2/3 and the sum is 5.

Hopes this helps :)

solve 1/2n + 3 < 5 ??

Answers

Answer:

n<4

Step-by-step explanation:

Answer:

[tex]n < 4[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} n + 3 < 5 \\ subtract \: 3 \: from \: both \: sides \\ \\ \frac{1}{2} n < 2 \\ divide \: both \: sides \: by \: \frac{1}{2} \\ \\ n < 4[/tex]

Simplify (3xy^6)^2(x^3y^2)^4

Answers

answer

9x14y20

reason

Solve for X Tysm!! I need help ASAP

Answers

X-4/3 <= 5

Multiply both sides by 3:

X-4 <= 15

Add 4 to both sides:

X <= 19

The answer is the third one.

what is 4a^2 +1/4a^2 if 2a+1/2a = 8

Answers

Answer:

after cross multiplying is when u get 5a=16....then u divide by 5 throughout...also its best to convert 3.2 into fraction since the question is in fraction.....but whichever is still correct

hope its understood

Can somebody please tell me the answer to this

Answers

Answer:

x= 60°.

Step-by-step explanation:

To solve this problem, we must figure out the measure of the angles inside a hexagon. We can do this using the Interior Angle formula S = (n - 2)·180.

When we plug the number of sides a hexagon has into this equation, we get a total sum of 720.

To get the measure of each angle, we simply divide 720 by 6, giving us a measure of 120 per angle. Since we know the measure of the interior angles, we can solve for angles of the triangle using Supplementary angles.

180-120= 60°.

We know that the two angles of the triangle against the hexagon are 60°, but what about the other angle?

All you need to do is subtract the two angles from 180 to get you the angle of 'x'.

180-2(60°)= 60°.

Pete is a very good student . The probability that he studies for his test and then passes it is 7/10 If the probability that Pete studies is 7/8 find the probability that Pete passes his test? given that he studied.

Answers

Answer:

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Step-by-step explanation:

Let the event that Pete studies be S.

Let the event that Pete passes the test be P.

The probability that he studies for his test and then passes it is P(S n P) = 7/10

The probability that Pete studies is P(S) = 7/8

The probability that Pete passes his test given that he studied = P(P|S)

The conditional probability, P(A|B) is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

So, the required probability, P(P|S) will be

P(P|S) = P(P n S) ÷ P(S)

P(P n S) = P(S n P) = (7/10)

P(S) = (7/8)

P(P|S) = P(P n S) ÷ P(S)

= (7/10) ÷ (7/8)

= (7/10) × (8/7)

= (8/10) = (4/5) = 0.80

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Hope this Helps!!!

144 students enter a spelling bee, but only 1/6 of the group will make into the semi-final round, and only 2 /3​ that group will make into the final round. How many students will enter the final round of the spelling bee?

Answers

Answer:

16 students

Step-by-step explanation:

144 students enter a spelling bee contest.

Step 1

For the semi final round we are told that only 1/6 of the group will make it into that round.

This is calculated as

1/6 × 144/students = 24 students.

This means that only 24 students would make it into the semi final rounds.

Step 2

We are also told in the question that only 2/3 of THAT group would make it into the final round.

" THAT" group been referred to in the question means the number students that made it to the semi final round

This is calculated as

2/3 of that group( the group that made it to the semi finals)

= 2/3 × 24 students

= 16 students.

Therefore, the number of students that will enter the final round of the spelling bee is 16 students.

Final answer:

To calculate the number of students who will make it to the final round of the spelling bee, we first determine the semi-finalists by multiplying the total students by 1/6, and then the number of finalists by multiplying the semi-finalists by 2/3, resulting in 16 students.

Explanation:

To solve this problem, we first need to determine the number of students who will make it into the semi-final round. Since only 1/6 of the total students will make it to the semi-final round, we can calculate that by multiplying the total students (144) by 1/6, which results in 24 students.

Next, we need to calculate the number of students that will make it into the final round from the semi-final round. This means we need to multiply the semi-finalists (24) by 2/3, which results in 16.

Therefore, 16 students will make it into the final round of the spelling bee.

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Which expressions are equivalent to -2(5x-3/4)? Check all that apply.
A. -2(5x)+(-2)(-3/4)
B. -10x-3/4
C. -10x+ 6/2
D. -10x+3/2
E. -10x-6/2

I WILL CHOOSE YOU FOR BRAINLIESS

Answers

Answer:

A

Step-by-step explanation:

-2(5x)+(-2)(-3/4) = -10x +6/4

-2(5x-3/4) = the same

A & D are the correct answer.

The given expression is -2(5x-3/4). Which simplifies to -10x+6/4 or -10x+3/2

Answer A: -2(5x)+(-2)(3/4) simplifies to -10x+6/4 or -10x+3/2 which equals the expression given, so it is CORRECT.

Answer B: -10x-3/4 does NOT equal the expression given, so it is NOT correct.

Answer C: -10x+6/2 does NOT equal the expression given, so it is NOT correct.

Answer D: -10x+3/2 does equal the expression given, so it is CORRECT.

Answer E: -10x-6/2 does NOT equal the expression given, so it is NOT correct.


A & D are the correct answers. They equal the expression given.

The length of a rectangle is 5 inches more than the width. The area is 33 square inches. Find the length and width . Round to the nearest tenth if necessary.

Answers

Answer:

the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.

Step-by-step explanation:

The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as

A = L * W

As such, given that the length is 5 inches more than the width,

L = W + 5

33 = W(W + 5)

W² + 5W  - 33 = 0

Using the formula method which states that

s = -b±√(b²-4ac)/2a

W = -5 ± √5² - 4(1)(-33)/2

= -5 ± 12.53/2

= 7.53/2 (since length cannot be negative)

= 3.755 inches

L = 3.755 + 5

= 8.755 inches

Suppose a car tire has a diameter of 32 inches. How many complete rotations will the tire make if it travels one mile

Answers

Answer: about 630.57 rotations per mile.

Step-by-step explanation: There are 1760 yards in one mile. 36 inches per yard. Convert miles to inches: 1760×36=63360

Figure the circumference of the tire: C=π×32 3.14×32=100.48=C

Divide the length of the mile by the circumference of the tire:. 63360/100.48 = 630.57 approximately.

Please answer CORRECTLY !!! Will mark brainliest !!!

Answers

Answer:

2

いたち うちあ

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

f(x) = 5x-3

Let x = 5

f(5) = 5*5-3

f(5) = 25-3

    = 22

Help please.........

Answers

Answer:

37

Step-by-step explanation:

The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:

[tex]\cos 64.2^{\circ}=\dfrac{x}{85}[/tex]

[tex]x\approx 37[/tex] units

Hope this helps!

Which shape is always a parallelogram?

A. A rectangle because it has 2 pairs of parallel sides.

B. A quadrilateral because it has 4 sides.

C. A trapezoid because it has 1 pair of parallel sides.

D. A hexagon because it has 3 pairs of parallel sides.

Answers

Answer:

the answer is A because it has 2 sides of parallel line

Step-by-step explanation:

The correct shape which is always a parallelogram is,

⇒ A rectangle because it has 2 pairs of parallel sides.

We have to given that,

To find shape which is always a parallelogram

Since, A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Hence, We can say that;

Rectangle shape is always a parallelogram.

Thus, The correct shape which is always a parallelogram is,

⇒ A rectangle because it has 2 pairs of parallel sides.

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Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3? 3 (4 minus y) minus 7; 5 + 3 y 9 + y + 4 y minus 2 minus 3 y; Negative 2 y + 7 5 + y minus 2 minus 6 y + y; 8 y + 3 2 y + 7 + y minus 2 + y; 4 y + 5

Answers

Answer:

D

Step-by-step explanation:

i used calculator and i all did tast and i got it right

Answer:

The answer is D

Step-by-step explanation:

I did get it correct on edg 2021

I hope it helps

Have great day!

A Ferris wheel can accommodate 35 people in 25 minutes. How many people can ride that Ferris wheel in 4 hours? What is the rate per hour? Please I need help

Answers

336
60*4=240
35/25=1.4
1.4*240=336

Answer:

336

Step-by-step explanation:

Number of people divide by minutes

35/25 =1.4

Then Change the 4 Hours to minutes.

Knowing that there 1 Hour = 60 Minutes

Thus, 4 x 60 = 240

Then 1.4 x 240 = 336

Hence, 336 people can ride that Ferris wheel in 4 hours.

[RevyBreeze]

which of these expressions equal 15 when x = 1/2 and y = 3. Choose all that apply

Answers

Answer:

WHERES THE PIC??

Step-by-step explanation:

Answer:

Btw I got this for home work.

Step-by-step explanation:

In how many ways can the first 4 guests arrive at a party if 15 guests have been invited.

Answers

Answer:

The first 4 guests can arrive in 32,760 ways.

Step-by-step explanation:

The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

4 guests from a set of 15. So

[tex]P_{(15,4)} = \frac{15!}{(15-4)!} = 32760[/tex]

The first 4 guests can arrive in 32,760 ways.

Answer:

the first 4 guests can arrive in 32,760 ways.

Step-by-step explanation:

how many ways can the first 4 guests arrive at a party if 15 guests have been invited.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

4 guests from a set of 15

P(15,4) = 15 * 14 * 13 * 12

= 32760

Therefore, the first 4 guests can arrive in 32,760 ways.

Caleb went to Kroger and spent $83.47 on groceries. He had a coupon for $1.99 off bottled water and $0.89 off organic strawberries. How much did Caleb spend at Kroger?

Answers

Answer:

$86.35

Step-by-step explanation:

Total amount he spent at Kroger

= $83.47 on groceries. +coupon for $1.99 off bottled water + $0.89 off organic strawberries

= 83.47+0.89+1.99

= $86.35

Final answer:

After applying coupons for bottled water and organic strawberries, Caleb spent a total of $80.59 at Kroger. The discounts of $1.99 and $0.89 were subtracted from the initial spend of $83.47.

Explanation:

Caleb went to Kroger and initially spent $83.47 on groceries. He had two coupons: one for $1.99 off bottled water and another for $0.89 off organic strawberries. To calculate how much Caleb spent after using his coupons, we need to subtract the value of the coupons from the initial amount.

First, we calculate the total discount by adding the two coupon values:

$1.99 for bottled water

$0.89 for organic strawberries

Total discount = $1.99 + $0.89 = $2.88.

Then, we subtract this total discount from the initial spend:

$83.47 - $2.88 = $80.59

Therefore, Caleb spent $80.59 at Kroger after applying his coupons.

Why does it make sense in this situation that the
function has this horizontal asymptote?
The average cost per person is always
greater than $630 because of the fee for the
tour guide.
The average cost per person is always less
than $630 as long as more than one person
goes on the vacation.
The average cost per person equals $630
after a certain number of people go on
vacation.

Answers

Answer:

A:

The average cost per person is always greater than $630 because of the fee for the tour guide.

The average cost per person is always greater than $630 because of the fee for the tour guide.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

How do you write a function?

You write functions with the function name followed by the dependent variable.

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3x^2-8x+4 pls factor step by step

Answers

the first thing you need to do is multiply the a and c values. in this problem a is 3 and c is 4. 3x4 is 12. now you need to find the factors of 12 and find a set that add to the b value (-8). -2 + -6 is -8 and -2 x -6 is 12. now you replace -8x with -2x and -6x. now you need to factor by grouping. so first is 3x^2 -6x. you factor out the gcf between the two. in this case it us 3x. so now you have 3x(x-2). now you need to factor the other side of the equation (-2x +4). for this problem you need to factor out a -2, rather then 2, because it needs to be the same as the first half. so you factor out the -2 and get -2(x-2). then you just combine the two so you get (3x-2)(x-2). hope this helped. i also attached a picture of the work. :)

Carmen simplified the expression (4y+8x+6)+25+(4x-6y+7) The coefficient of the variable y In her simplified answer is

Answers

Answer: -2
I think. I took 4y and added it to -6y

Answer:

Step-by-step explanation:

(4y + 8x + 6) + 25 + (4x - 6y + 7) =4y + 8x + 6 + 25 + 4x - 6y + 7

= 4y -6y + 8x + 4x + 6 +  25 + 7

= -2y + 12x + 38

Coefficient of y = -2

Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear? 1/3, -5/3, -2/5 1/2, 3, 5 -1, 1/2, -3/5 6, -5/2, 7/4

Answers

Answer:

6, -5/2, 7/4

Step-by-step explanation:

The required slope that shows given points are not collinear is 6, -5/2, and 7/4.


What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
m = (y₂ - y₁) /  (x₂ - x₁)  - - - - (1)

Substitute points  C(1, 1), and  D(3, -4) in the above equation 1,
m = -4 -1 / 3 - 1
m = -5/2

Substitute points   D(3, -4) and E(5, 8) in the above equation 1,
m = 8 + 4 / 5 - 3
m = 12 / 2
m = 6

Substitute points C(1, 1)  and E(5, 8) in the above equation 1,
m = 8 - 1 / 5 - 1
m = 7 / 4

Thus, the required slope that shows given points are not collinear are 6, -5/2, and 7/4.

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Eff scored a 23/25 on his math test, Maria scored 21/24 on her math test and Jake scored 17/20 on his math test. Who had the highest score? Explain how you know.

Answers

Answer:

Eff

Step-by-step explanation:

Fraction is a part of a whole, telling us how many parts of a whole we have. It can be converted to percentage or decimal.

Eff scored a 23/25 on his math test. Converting to percentage, eff score = 23/25 * 100% = 92%

Maria scored 21/24 on her math test. Converting to percentage:

Maria score = 21/24 * 100% = 87.5%

Jake scored 17/20 on his math test, converting to percentage:

Jake score = 17/20 * 100% = 85%

The person with the highest score has the highest percentage which is Eff with 92%.

Answer:

Eff had the highest score.

Step-by-step explanation:

The approach to determine who get the same score is converting each fraction to an arbitrary scale, which is 100 for this problem. Now, the conversions are presented below:

Eff

[tex]x = \frac{23}{25}\times 100[/tex]

[tex]x = 92[/tex]

Maria

[tex]x = \frac{21}{24}\times 100[/tex]

[tex]x = 87.5[/tex]

Jake

[tex]x = \frac{17}{20}\times 100[/tex]

[tex]x = 85[/tex]

Eff had the highest score.

There are 91 eighth-grade students signing up for electives.
Of these 91 students, 68 sign up for the art, 31 sign up for
band, and 18 signed up for both. 10 Students are not signing
up for either art or band.
Let S = {all eighth students}
Let A = {students in Art}
Let B = (students in band)
PLS HELP!! I’LL GIVE U 5 stars

Answers

Answer:

A). 81 students

B). 18 students

C). 10 students

Step-by-step explanation:

Let S = {All students of 8th grade} = 91

     A = {Students in Art} = 68

     B = {Students in band} = 31

Part A : A∪B = A + B - A∩B

            A∪B = 68 + 31 - 18

            A∪B = 81

A∪B represents the total number of students enrolled in art and band.

Part B : A∩B = 18

A∩B represents the number of common students enrolled in art and band.

Part C: ~(A∪B) = S - A∪B

           ~(A∪B) = 91 - 81

           ~(A∪B) = 10

~(A∪B) represents the number of students enrolled neither in art nor in band.                

In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?

Answers

Answer: A

Step-by-step explanation:

The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.

Answer:

A

Step-by-step explanation:

Which equation matches the table of values?

Answers

Y =6x is the equation

What is the decimal form of 19/20

Answers

Answer: 0.95 or 95%

Step-by-step explanation:

Answer:

0.95

Step-by-step explanation:

What is mode to a data set

Answers

Answer:

The number that occurs the most frequently

Step-by-step explanation:

For example, in the number set below

1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 6, 85, 95

The number that shows up the most is 3, so 3 is the mode

Pat earns 4% in his bank account each
year. He has $2,400 in his account. How
much will he have in 5 years if he does not
make any more deposits?
A. $12,480.00
B. $12,907.78
C. $2,919.97
D. $2,457.60

Answers

C. $2919.97

Y1 $2400 x.04 =96
Y2$2496 x.04 =99.84
Y3$2595.84 x.04 =103.86
Y4$2699.67 x.04= 107.99
Y5$2807.66 x.04= 112.31 = Total $2919.97
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