AOC and BOD are diameter of a circle, centre O, prove that ABD and DCA are congruent by RHS

Answers

Answer 1

It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.

RHS congruency criteria:

Triangles must have equal corresponding sides and equal corresponding angles in order to be congruent.

According to the RHS congruence theorem, two right-angled triangles are congruent if their respective hypotenuses and sides are the same as those of another right-angled triangle.

Here we have

AOC and BOD are diameters of a circle and have a center O.

It is given that AOC and BOD are diameters of a circle.

From the triangles Δ AOC and ΔBOD

⇒ BD = CA  [ Diameters of the circle i.e Hypotenuse of triangles ]    

⇒ ∠BAD = ∠CDA [ Right angles in a semicircle is 90°]

⇒ AD = AD [ Common in both triangles i.e sides of triangles ]

Thus, Using RHS congruence criteria

⇒ ΔABD ≅ ΔDCA

Hence,

It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.

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Related Questions

Find the slope (2,2) and (6,8)

Answers

Therefore the slope of the line joining the points (2,2) and (6,8) is equal to 2/3.

What is meant by slope?

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The formula for finding the slope of a line is [tex]m= \frac{X2-X1}{Y2-Y1}[/tex].

Where (X1, Y1) and (X2, Y2) are the points on the line.

The given points are (2,2) and (6,8).

Therefore slope is

[tex]m=\frac{6-2}{8-2} \\m=\frac{4}{6} \\m=\frac{2}{3}[/tex].

The slope is 2/3.

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33; 30; 27; 24; ...
find the general term ​

Answers

Answer:

https://www.tiger-algebra.com/drill/36,33,30,27,24,21/

Here is solution of this question.

Please help ASAP
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.

Hint: Use the change of base formula: log base b of y equals log y over log b.

Answers

Step-by-step explanation:

I'm assuming that its 23 to the power x since you said it is an exponential equation.

as for the hint there is no specific base specified so I'll do the best I can with the answer.

Angie can begin solving by applying log to the base 23 on both sides. when this is done, Angie will be left with:

[tex] log_{23}( {23}^{x} ) = log_{23}(6) [/tex]

and as we know the power rule in logarithms allows us to remove the power within the expression.

hence, we'll get:

[tex]x log_{23}(23) = log_{23}(6) [/tex]

furthermore, if we have the same number and base within a logarithmic expression it will simply become 1 giving us the final answer:

[tex]x = log_{23}(6) [/tex]

if the question that I've answered is different to yours please let me know and I'll make sure to fix it.

hope this helps :)

Given (x – 7)2 = 36, select the values of x.

Answers

x = 25

using distributive property with (x - 7)2, you get 2x - 14 = 36. add 14 to both sides, you get 2x = 50, then divide by 2x.

x will equal 25.

The average age of a university student was found to be 24 with a standard
deviation of 2. What age group is within 2 standard deviations of the mean?

Answers

The age group that falls between two standard deviations is 20 to 28.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Given, The average age of a university student was found to be 24 with a standard deviation of 2.

Therefore, age group is within 2 standard deviations of the mean is,

24 + 2×2 = 24 + 4 = 28,

And 24 - 2×2 = 24 - 4 = 20.

So, The age group between 20 to 28 falls within 2 standard deviations of the mean.

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Two angles are a linear pair. Their measures are represented by x+10 and 3x+10. What are the measures of the angles

Answers

Answer:

50°  and  130°

Step-by-step explanation:

Linear pair of angles are supplementary, which means their sum is 180

x + 10 + 3x + 10 = 180

4x + 20 = 180

4x = 160

x = 40

x + 10 = 40 + 10 = 50°

3x + 10 = 3(40) + 10 = 120 + 10 = 130°

I need help i attach a photo of the math ​

Answers

Answer:

279936

Step-by-step explanation:

i put it in the calculator. I honestly get how to do the exponents themselves but not dividing with them.

We often hear "Practice makes perfect" or "Practice makes better". Give reasons why the relationship might not be stronger between hours of practice and points per game.

Answers

Answer:

Hope this is right :)

Step-by-step explanation:

Practice makes perfect because by reapeting something multiple times you will adventually get better

For extra points. Ok

Can someone please help me with math.

Answers

Answer:

D

Step-by-step explanation:

All you need to know is that the square root of 81 is 9. Then you can eliminate all the graphs that don´t have C plotted at 9.

10. Is it possible to draw a three-sided figure where two of the sides are equivalent and two of the angles
are obtuse?
a) yes b) no
(I will give brainliest please help)

Answers

the anwser is no its not possible

a tropical punch recipe calls for 1.5 L of coconut milk. How many millimeters of coconut milk are in the recipe?

Answers

Answer:

1500 ml

Step-by-step explanation:

Answer:

1500 kkkkkkkkkkkkkkkkk

a line has this equation y=-1/2x+5 what is the equation for the perpendicular line that goes through (10,3)

Answers

Answer:

Y=2x-17

Step-by-step explanation:

If a line is perpendicular it means their slope is reciprocal to each other.

Y=-1/2X+5 has a slope of -1/2

The function that is perpendicular will have a slope of 2.

Y=2x+b

Plug in(10,3)

2(10)+b=3

b=-17

Y=2x-17

Dije e difiere edi sure

Put the values below into ascending order
(smallest to largest).
4%,
2
10⁹
6
100

Answers

4% , 2, 6, 100, 10^9

What is BPT Theoram please solve

Answers

In a triangle, a line is drawn parallel to one side of the triangle. Then it ratio of the two similar triangles will be con

What is the Basic Proportionality theorem?

The Basic Proportionality Theorem, often known as the Thales Theorem, was developed by the eminent Greek mathematician Thales. He asserted that the ratio of any two matching sides is constant for any two equiangular triangles. He developed the basic proportionality theorem based on this idea (BPT). Similar triangles have presented this idea. When two triangles resemble one another.

Think about the triangle ΔABC in the given illustration. A line PQ connecting the sides AB and AC of P and Q in this triangle is drawn parallel to the side BC of the triangle.

AP/PB = AQ/QC

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please answer this
i really need it
i will give u a crown

Answers

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Of 30 students 1/3 play sports. Of those who play sports 2/3 play soccer. How may students play soccer?

Answers

Answer:

4

Step-by-step explanation:

1/3 of 30 students play sport

30×1/3

= 10

2/5 of this number plays soccer

10×2/5

= 20/5

= 4

A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser

Answers

On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

what is cylinder?

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]

the difference is [tex]32-24 = 8 cm[/tex]

the answer is

8 cm

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What is the x-intercept of the line 4x y =- 4?

Answers

The x-intercept of the line 4x-y =- 4  is (1,0).

At x-intercepts, y=0  and at

y-intercepts, x=0.

So, to find the,

x-intercept, set y=0

4x−0=4

4x=4

x=1.

The points at which the graph of a function or an equation crosses or "touches" the x-axis of the Cartesian Plane are referred to as the x-intercepts. This could be thought of as a point with a y-value of zero. Let y equal 0 and then solve for x to determine the equation's x-intercepts.

Because the line crosses the x-axis when y=0, the equation for x must be solved in order to determine the x-intercept. We can solve for the intercepts when an equation is not in the form y = mx + b by solving for the remaining variable and plugging in 0 as necessary. To locate the y-intercept: solve for y and set x to zero.

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If m/KLH = 134°, solve for x.
19=134+2
H
25°
N
(4x + 9)°
L
K

Answers

Step-by-step explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3

When you are going from city w to city x, at city w, there is a milestone, after travelling for a while, you come across another milestone. How far city x from city w

Answers

Answer: Hello your question is quite vague but i will provide a general answer within the scope of your company

answer : D = Y + Z  

Step-by-step explanation:

Moving from city W to city x

Given that there is a milestone at the beginning of the journey ( i.e. at City W )

and Another milestone is Located between City W and City X after traveling for time T

lets assume

distance between Milestone at W and milestone between W and x =  Y

distance between City x and milestone between City W and City x = Z

Finally to determine the Distance between City x and city W

D = Y + Z  

A Lamborghini driver left at 17:50h on an all night journey. The journey took him 14hrs. At what time he reach his destination?

Answers

Answer:

7:50 am in the morning

Step-by-step explanation:

17:50pm = 5:50pm

first simply this by only adding 12 hours

12 hours later- 5:50 am

Then add 2 hours to get the answer

14 hours- 7:50 am in the morning.

( I think)

...

no fake answers for the last time and no links please I will actually report you. answer the question and EXPLAIN it!!!!​

Answers

Answer:

Well, if the inequality is g<6, the second graph would be correct. (6 with the open circle)

Step-by-step explanation:

A open circle indicates that the solution is greater than or less than. There is a simple way I like to do it, if the sign is going to the right, you would have to graph to the left. That is just a simple way you can do it. But, the answer is the second graph. (Top left corner)

A cylinder has a base radius of 8 cm and a height of 7 m. What is its volume in cubic centimeters to the nearest 10th Place

Answers

Answer:

1407.4

Step-by-step explanation:

volume = π · r^2 · h

you plug in the values and get => 1,407.434

Rounded to the nearest tenth = 1407.4

Hope this Helps!

Please mark as brainiest if correct (o_o)

What does − [infinity] [infinity] mean?

Answers

This expression has no defined meaning. It is not a valid mathematical expression.

− [infinity] [infinity] is not a valid mathematical expression so it has no defined meaning.

The expression − [infinity] [infinity] is not a valid mathematical expression, and thus it has no defined meaning. It is not a valid mathematical expression because it contains two symbols, infinity and negative infinity, which do not interact with each other in any meaningful way. Infinity is a concept that is used to represent an unbounded or infinitely large value, while negative infinity is a concept used to represent a value that is infinitely small. When combined, these two symbols do not represent any meaningful mathematical quantity. Therefore, the expression − [infinity] [infinity] has no defined meaning.

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help plz I don't understand ​

Answers

Answer:

AB ≈ 9.11

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan44° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8.8}{AB}[/tex] ( multiply both sides by AB )

AB × tan44° = 8.8 ( divide both sides by tan44° )

AB = [tex]\frac{8.8}{tan44}[/tex] ≈ 9.11 ( to 3 sf )

A quantity with an initial value of 7800 decays continuously at a rate of 0. 1%

per hour. What is the value of the quantity after 1. 25 days, to the nearest

hundredth?

Answers

The question is asking for the value of a quantity that decays continuously at a rate of 0.1% per hour. We are given that the initial value of the quantity is 7800 and are asked to find the value after 1.25 days (30 hours).

What is a ratio in mathematics?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

We can use the following formula to find the final value of the quantity after a certain amount of time:

final value = initial value * (1 - decay rate)^time

Where decay rate is given as a decimal (0.1% = 0.001)

Plugging in the given values, we get:

final value = 7800 * (1 - 0.001)^30

The final value is around 7396.65

Rounding the final value to the nearest hundredth, the final value after 1.25 days is:

7396.65 ≈ 7396.66

The value of the quantity after 1.25 days, to the nearest hundredth is 7396.66.

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if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y​

Answers

Answer:

[tex](x,y)\rightarrow(3,2)[/tex]

Step-by-step explanation:

I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:

[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]

[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]

[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]

ASAP

Just the answer pls

Answers

Answer:

D

Step-by-step explanation:

On the Coordinate plane, mark all points such that y=x+3

Answers

Answer:

(0, 3); (-3, 0)

Step-by-step explanation:

y = x + 3

ordered pairs:

y = 0 + 3 = 0 --> (0, 3)

0 = x + 3 --> x = -3 --> (-3, 0)

-5 1/4 - (-7 1/2)
A: -12 3/4
B: 2 3/4
C: -2 1/4
D: 2 1/4​

Answers

Answer:

B

Step-by-step explanation:

-5-(-7)=2 1/4+1/2=3/4

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