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skelet666 [1.2K]
2 years ago
9

Find a value for Y and give a reason for your answer

Mathematics
1 answer:
leva [86]2 years ago
5 0

Step-by-step explanation:

inscribed angles subtended by the same arc are equal.

the central angle of a circle is twice any inscribed angle subtended by the same arc.

the first statement tells us that the 53° angle as well as y stay the same size no matter where on their arcs (between the 2 points connected to O) they would be. so, we don't need to bother with any line lengths.

the 2nd statement tells us that x = 2×53 = 106°. the 53° and x angles refer to the short arc on the right of the 2 points connected to O.

and y and x refer to the larger arc on the left of the 2 line connected to O. that means according to the second statement : 360-x (the big angle around O) = 2y

so,

360 - 106 = 2y

254 = 2y

y = 127°

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Is this statement true or false?<br> If sin 30º = 0.5, then sin -- 0.5 = 30°.<br> true<br> false
masya89 [10]

Answer:

true

Step-by-step explanation:

5 0
3 years ago
If 20% of a number p is 10, what is 10% of p?
kobusy [5.1K]

Answer:

5

Step-by-step explanation:

20% of p = 10

20% = 0.2

Multiply

0.2p = 10

Multiply both sides of the equation by 5

p = 50

Find 10% of p

10% = 0.1

Multiply

0.1(50)

5

10% of p is 5

Hope this helps :)

8 0
3 years ago
Read 2 more answers
How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?
Paraphin [41]
X = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
8 0
3 years ago
Why must the vertex of an isosceles triangle be an even number
WINSTONCH [101]

Answer:

Step-by-step explanation:

The vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the .

4 0
3 years ago
Tan9 - tan27 - tan63 + tan 81 = ?
ludmilkaskok [199]
Tan9−tan27−tan63−tan81
tan9+tan81−tan27−tan63
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sin90/cos81cos9−sin90/cos63cos27
1/sin9cos9−1/sin27cos27
2/sin18−2/sin54
(2)sin54−sin18/sin18sin54
4cos36sin18/sin18cos36=4
8 0
3 years ago
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