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VARVARA [1.3K]
3 years ago
6

Given that O is the centre of the circle, find the values of x and y

Mathematics
2 answers:
AnnyKZ [126]3 years ago
4 0
We know that the angle at the top of the triangle is 90 degrees by definition
<span>(Angle in the Semicircle Theorem</span>). That makes angle y 45 degrees (as is the angle opposite y). The angle next to 82 degrees is supplementary and therefore is 98 degrees. Since we know we have 98, and 45 degree angles in the triangle already, x must be 37. Since the triangle must have 180 degrees.

Y = 45
X = 37
ioda3 years ago
4 0
Let AB be the diameter trough O the center & C the vertex of the triangle.

1)Since this triangle is inscribed in half a circle, means that it is a right triangle

2)Triangle AOC is isosceles (AO=OC=Radius)  ==> angle y = OCA

Since the sum of angles in any triangle is 180 & angle O =

82 then y =(180-82)/2 =49 (y=49).

The angle ACB =90 & x=90-49 =51, then x= 51

You might be interested in
5. Average (missing value). The temperature at the top of Mt. Hood in Oregon was recorded for 5 straight days. For the first fou
Nata [24]

Answer:

5°F

Step-by-step explanation:

Given that the average is obtained from;

Average = sum of scores / number of scores

Average temperature = 19.8°F

Let the temperature of the fifth day be x

Hence;

19.8 = 32 + 30 + 22 + 10 + x/5

19.8 = 94 + x/5

x= (5×19.8) -94

x= 5°F

4 0
3 years ago
How to work it out<br> And who drove farther and how many miles farther
OlgaM077 [116]
Easy, just divide
kelly=440mi/8hr=220mi/4hr=110mi/2hr=55mi/1hr
alberto=468mi/9hr=156mi/3hr=52mi/1hr

55>52

kelly drove 55mi in 1 hour
55-52=3
she drove 3 miles more  in 1 hour
5 0
3 years ago
A turtle crawled at a speed of 1.2 meters per minute for 9 minutes. How far did the turtle crawl? 7.5 meters 7.8 meters 10.2 met
Dennis_Churaev [7]

Answer:

10.8 meters

Step-by-step explanation:

3 0
3 years ago
The car travels an average of 40km per litre of fuel, and the cost of fuel is £1.25 per litre. Calculate the cost of the fuel fo
Nuetrik [128]

31075  \div 40 = 776.875 \\ 776.875 \times 1.25 = 971.09375
The cost of fuel was £971.09
5 0
3 years ago
16^3x+8^x+6<br><br>Could you please give me the steps as well for this problem? ​
BARSIC [14]

Answer:

x = 2

Step-by-step explanation:

16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} --> (16 = 2^{4} and 8 = 2^{3} )

2^{12x} = 2^{3x+18}

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

x = 2

8 0
3 years ago
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