In the given diagram(see image) , TAX and TBY are tangents to the circle and C is a point on the major arc.

Question :
If <CAX = 65° , <CBY = 76° , Calculate <ATB.​

In The Given Diagram(see Image) , TAX And TBY Are Tangents To The Circle And C Is A Point On The Major

Answers

Answer 1

Answer:

∠ATB = 102°

Step-by-step explanation:

Since ∠CBY is less than 90°, CB is not a diameter.

I did this in my head so I drew a sketch to show that around about way I did it. sketch attached:

I drew a third line from X to Y that is tangent to the circle at C.

Because each pair of tangent lines to a common point are equal, we have made three isosceles triangles.  

Now we know 2 of the three angles to ΔXYT, 180 - 50 - 28 = 102° for ∠ATB

In The Given Diagram(see Image) , TAX And TBY Are Tangents To The Circle And C Is A Point On The Major
Answer 2

Answer:

102°

Step-by-step explanation:

Given

∠CAX = 65° , ∠CBY = 76°

To find

∠ATB

Solution

Refer to attached picture

∠CAX= ∠CBA as same arc intercepted ∠CBY = ∠CAB as same arc intercepted

TAX is a straight angle and:

∠TAB = 180° - (∠CAX + ∠CAB) = 180° - (65° + 76°) = 39°

∠TBA = ∠TAB as two tangents intersect at same distance, their opposite angles are therefore same. ΔATB is an isosceles triangle.

∠ATB = 180° - 2*39° = 102°
In The Given Diagram(see Image) , TAX And TBY Are Tangents To The Circle And C Is A Point On The Major

Related Questions

A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?

Answers

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Questions:
PQ is a straight line.
Diagram NOT
accurately drawn
(126% )
(a)
Work out the size of the angle marked xº.
(b) (i) Work out the size of the angle marked yº.
Give reasons for your answer.

Answers

Answer:

the answer is up u can see it if u want explanation u can message me here

Which fraction is in reduced form?
4/21
42/54
18/27
2/10

Answers

Answer:

4/21

Step-by-step explanation:

4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.

4/21 = 4/21

42/54 = 21/27 = 7/9

18/27 = 6/9 = 2/3

2/10 = 1/5

what is the ratio for 18 goldfish in a tank of 48 fish simplify the answer please I will give you brainliest

Answers

The correct answer is 3:8

Answer:

Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk  thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy  

Step-by-step explanation:

bestiess

In a survey of 3,200 people who owned a certain type of car, 1,920 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car

Answers

Answer: 60%

Step-by-step explanation: 1920/3200=.6  .6 in a percentage is 60%

What are the coordinate pairs of this??

Answers

Hvictdtdyewzfycu y c

Answer:

A is (-4,-3) and B is (6,-5)

Step-by-step explanation:

Write two numbers that multiply to the value on top and add to the value on bottom.

Answers

Answer:

14+9 14×9that is the answer

hey guys its my bday and i don't have time to do work rn but I need the answer for this. I will give brainly away

Answers

SAS, SSS, SSA all prove the congruency of the two triangles.

Write the recursive formula for this sequence: 3, 1, -1, ... *

Answers

Answer:

the answer is 5-2n please do you get it

im supposed to solve this, but im first supposed to convert the bases to be the same and thats what im struggling with​

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  8 = 2×2×2 = 2³

  4 = 2×2 = 2²

so the problem can be rewritten as ...

  [tex]\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}[/tex]

__

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

______

Alternate solution

You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.

Square OPQR is inscribed in triangle ABC. The areas of △AOR, △BOP, △CRQ are 1, 3, and 1, respectively. What is the area of square OPQR?

Answers

Answer:

9 units²

Step-by-step explanation:

We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.

ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

3 x 3 = 9 units²

The area of square OPQR is 9 units².

Calculation of the area of square:

Since

ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.

Also,

ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

So it can be like

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

= 3 x 3

= 9 units²

hence, The area of square OPQR is 9 units².

Learn more about area here: https://brainly.com/question/24703634

what is the explicit formula

Answers

Answer:

a(n) = 13 - 2n

Step-by-step explanation:

The explicit formula variables are a(n) = a(1) + d (n - 1). The a(1) is your number you started out with, and the d is the common difference. From the recursive formula example, you see that your first number is 11 and your difference is -2.

1. Plug the numbers into the equation : a(n) = 11 - 2 (n - 1)

2. Distribute: a(n) = 11 - 2n + 2

3. Add like terms: a(n) = 13 - 2n

If you want to double check, you can plug 1 into n and see if you get 11. I did this, and I did so it should be correct. Hope this made sense! Have a great day :)

Find the length of AB.
AB = [ ? ]in

Answers

Answer: About 3.14 inches

What is the distance between the points (12, 6) and (−8, 6) on a coordinate plane? *
4 units
12 units
6 units
20 units

Answers

Answer:

im pretty sure it is "4 units"

Step-by-step explanation:

Select the factors for the quadratic expression 10m2 + 89m − 9.

a
(5m + 9)(2m - 1)

b
(10m + 9)(m + 10)

c
(m - 9)(10m + 89)

d
(m + 9)(10m − 1)

Answers

the correct answer is d.

write the coordinates of a point whose Abcissa is -7 and ordinate is -2​

Answers

Answer:

Abcissa = X, and Ordinate = Y

(-7,-2)

Is the answer

Solve the inequality.

−3y < −14

Answers

Answer:

y<14/3

Step-by-step explanation:

−3y < −14

dividing both side by -3

-3y/-3 <-14/-3

y<14/3

The solution of the inequality will be equal to y<14/3.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given inequality will be solved as,

−3y < −14

Dividing both sides by -3 and solving further.

-3y/-3 <-14/-3

y < 14

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?​

Answers

Answer:

57 years

Step-by-step explanation:

total=25*6=150

17+21+15+15+25+x=150

93+x=150

x=150-93

x=57

Answer:

age=57

Step-by-step explanation:

ages=17 21 15 15 25 ?

17+21+15+15+25=93(old mean)

17+21+15+15+25+?=25(new mean)

25(new mean)*6(number of numbers)=150

?=150-93=57

= 57

can you please show work​

Answers

Answer:

A) 3.44 ft²

Step-by-step explanation:

before cutouts, the area was 4 x 4 = 16 ft²

the circles have a diameter of 2 ft each, and a radius of 1 ft

each circle has an area pf (3.14)(1²) = 3.14 ft²

3.14 x 4 = 12.56 ft²

16 - 12.56 = 3.44 ft² left

Same as before this test... is just driving me crazy I'm blowing all my points through these so...

Answers

Answer and Step-by-step explanation:

For this, you would need to use the trigonometric function Sine and cosine.

The trig equations are:

sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]

cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]

Let's start with Sine:

sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (sin(60)) = x[/tex]

Input into calculator and solve.

x = 15

Now for Cosine:

cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (cos(60)) = x[/tex]

Input into calculator and solve.

y = [tex]5\sqrt{3}[/tex]

x = 15

y = [tex]5\sqrt{3}[/tex]

These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .

First, let's calculate the value of [tex]y[/tex].

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]y[/tex] = [tex]\frac{a}{2}[/tex]

[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]

[tex]y[/tex] = [tex]5\sqrt{3}[/tex]

----

Now, let's get to [tex]x[/tex]

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]

[tex]x[/tex] = [tex]\frac{30}{2}[/tex]

[tex]x[/tex] = [tex]15[/tex]

----

[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]

this is 8th grade math can someone PLEASE answer number 9

Answers

8) y intercept is (0, 15) or 15

   slope is 10 (the y intercept represents how much it would cost to open an online gaming account and the slope represents how much each game costs after you open an online gaming account, including the $15 fee to open the account)

9) y=10x+15

10) you can look at the graph where it says number of games and go to 6 and go up until you reach the line and look at the side where it says cost (dollars) and then you will see that 6 games cost $75

Do you ever subtract using the z-score?

A) yes
B) no
C) sometimes

Answers

C sometimes, It seems to be completely arbitrary when one must subtract the z-score table value from 1. ... So that's great if you want the left tail of a distribution, but if you want a right tail then you need to calculate the left tail and subtract it from 1 (which is the area of the entire standard normal curve).

What multiplies to make 400 and adds to make -40 PLS HELP

Answers

Answer:

-20 and -20

Step-by-step explanation:

Mark brainliest please

Please answer this correctly and do not guess or put random stuff. I will report if you do so.

Answers

Answer: y=8x

Explanation: The graph shows a linear relationship.

The circumference of the hub cap of a tire is 73.79 centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were​ smaller, explain how this would change the area of the hub cap.
The area of this hub cap is about __ square centimeters.

Answers

Answer:

433.5 cm²

Step-by-step explanation:

The formula for circumference is C = 2πr, where r is the radius.

Here, C = 2πr = 73.79 cm.  Solving this for the radius, r, we get:

     73.79 cm

r = ---------------- = 11.75 cm

        2(3.14)

Then the area of the hubcap is A = πr², or, in this case,

A = 3.14(11.75 cm)²  =  433.5 cm²

Answer:

simple answer (and rounded for u) = 434 centimeters squared! hope it helps peeps

Step-by-step explanation:

An investment of 4,000 earns 2% interest compounded annually. What will be value of the investment in 7 years

Answers

Start with your exponetial growth formula: y = a(1 + r)^t.

Now, a is going to be your initial amount, r is the rate, and t is the time.

So we have y = $4,000(1 + .02)^7.

Now simplify inside the parenthses first.

So we have y = $4,000(1.02)^7.

Simplifying further gives us y = $4,000(1.14868).

Now use a calculator to get y = $4,594.72

PLEASE ANSWER
What is the perimeter of the parallelogram?

Answers

Answer:

Perimeter = 44.8

Step-by-step explanation:

Perimeter = 2(13.4 + 9) = 44.8

Please help as soon as possible

Answers

Answer:

The answer is 17.5

Hope this helps

I’m pretty sure the answer is 17.5

(Hope this helps!!!)

Can I pls have a brainliest?

Please answer this math problem soon! No need for an explanation

Answers

Answer:

32

Step-by-step explanation:

Did this before I got 32 and it was correct

Help me with this pls

Answers

Answer:

C

Step-by-step explanation:

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