Answer:
i think 27777777777777/100000000000000
Step-by-step explanation:
Answer:
∠ ABC = 37°
Step-by-step explanation:
Angles on the circle subtended by the same arc are congruent.
∠ ABC and ∠ ADC are angles on the circle subtended by arc AC , then
∠ ABC = 37°
You need to change around the values so that the letters are on one side whereas numbers on the other:
15 +7 = 8x - 6x
22 = 2x
x = 11.
Hope This Helps!
To find the value of x, you want to use the vertical angles theorem.
The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.
TRY = QRW, so:
(x+16) = (4x-5)
1. Add 5 to both sides.
(x+21) = (4x)
2. You can get rid of the parentheses.
x+21 = 4x
3. Subtract x from both sides.
21 = 3x
4. Divide both sides by 3, isolating x.
7 = x
5. Flip this equation around, so:
x = 7
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To find the measure of TRY then plug x into the expression for TRY, which is (x+16).
TRY => ((7)+16) = 23
Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.
23+23 = 46
A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.
360-46 = 314
TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.
314/2 = 157
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Answers are:
TRY = 23
TRQ = 157
Answer:
4 and 13
Step-by-step explanation:
You want integer solutions to ...
15 ≤ n(n+1) ≤ 200
If we let the limits be represented by "a", then the equality is represented by ...
n² +n -a = 0
(n² +n +1/4) -a -1/4 = 0
(n +1/2)^2 = (a +1/4)
n = -1/2 + √(a +1/4)
For a=15, we have
n ≥ -1/2 + √15.25 ≈ 3.4 . . . . . minimum n is 4
For a=200, we have
n ≤ -1/2 + √200.25 ≈ 13.7 . . . maximum n is 13
The least and greatest integers on the cards are 4 and 13.
