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3 years ago

In circle T, what is the value of x?

Mathematics

2 answers:

zalisa [80]3 years ago

8 0

Answer:

x = 19°

Step-by-step explanation:

Refer the attached figure

Given : ∠ACB = 71°

∠BAC = x°

Thales' theorem : If A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.

So, by Thale's theorem ∠ABC is a right angle in the given figure

i.e.∠ABC = 90°

In ΔABC ,

To find x we will use angle sum property of triangle

Angle sum property of triangle : Sum of all angles is 180°

⇒∠BAC+∠ABC+∠ACB = 180°

⇒x°+90°+71° = 180°

⇒x°+161° = 180°

⇒x° = 180°-161°

⇒x° =19°

∠BAC = x° =19°

Thus x = 19°

Hence Option 1 is correct .

velikii [3]3 years ago

7 0

X equals 19 hope this helps

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Find x on this special right triangle

Vinil7 [7]

Answer:

x=9.79

Step-by-step explanation:

firstly find the hypotenuse of the first triangle

sin45=12/h

sin45h/sin45=12/sin 45

h=16.9

after finding the hypotenuse you can then use it to find x by using tan

tan60=16.9/x

tan60x/tan60=16.9/tan60

x=9.79

I hope this helps!!

3 0

3 years ago

2. Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face va

vampirchik [111]

The stock price per share was $8.60
Number of shares bought 1000
Total price for the shares:
(Cost per share)*(Number of shares)
=8.60*1000
=$8600

The stock price after 1 year $9.15
Total number of shares is 1000
Current price=(current share price)*(number of shares)
9.15*1000
=$9150
current value=(Current price)-(buying price)
=9150-8600
=$550

Net Profit=(Current value)-(Expenses)
=550-14
=$536

6 0

3 years ago

Which number is postitive, 45, -8, -45, -8

musickatia [10]

Answer:

Step-by-step explanation:

if it has a subtraction or negative dash in front its negative.

6 0

3 years ago

Read 2 more answers

Solve please I do not understand at all and please show work!

lina2011 [118]

So the recipe calls for 96 grams of sugar, and one cup is 128 grams of sugar.

She added a half of a cup, and as they said before one cup was 128 grams of sugar. So half of 128 is 64. So she added 64 grams of sugar. The recipe needs 96 grams so 64 grams is not enough sugar.

So 96 grams minus 64 equals 32 grams. So she still needs 32 grams of sugar.

So since the answers are all in cups, we must convert our answer from grams to cups.

So we have 32 grams of sugar left and to convert it we must put the 32 grams out of one cup. Once again one cup is 128 grams of sugar. So the amount of cups we need is 32/128 (fraction).

Also we need to simplify our fraction to completely answer the question. So we divide the numerator and denominator by 32.

So the final answer is 1/4. So the answer is D or the last answer out of the multiple choice.

8 0

2 years ago

On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1/4 of the way. To arrive on time at the dest

Sati [7]

Answer:

10 hours

Step-by-step explanation:

(150/x) + 1.5 + (450/(x+15)) = 600/x

Multiply through by x(x + 15):

150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)

150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000

150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0

1.5x^2 + 22.5x - 6750 = 0

x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)

x = (-22.5 +/- sqrt(506.25 + 40500)) / 3

x = (-22.5 +/- sqrt(41006.25)) / 3

x = (-22.5 +/- 202.5) / 3

x = 180/3 or -225/3

x = 60 or -75

But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.

6 0

3 years ago