9514 1404 393
Answer:
(c) 31°
Step-by-step explanation:
Angles 1 and 2 are congruent. Each is half the sum of the subtended arcs:
∠1 = ∠2 = (37° +25°)/2 = 31°
Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
Where is the first term, is the nth term, and is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do , which is , or the common difference. Since we have everything we need, it can be plugged into the equation:
So, the 61st term is 482.
Answer:
x=30, and angle A equals 132°.
Step-by-step explanation:
Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:
5x-18°=3x+42°
You would need to solve for <em>x</em>, which should equal to 30.
Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:
5(30)-18°
150-18°
Angle A = 132°.
Because 1/2 of 6 =1/3 and 1/2×1/3=1/6
Answer:
105 is the larger of the two integers
Step-by-step explanation:
104+105=209
104 and 105 are consecutive and their sum is no more than 209