Circle A is missing, so i have attached it.
Answer:
∠XYZ = 35°
Step-by-step explanation:
We want to find the angle ∠XYZ in the image attached.
To solve that, we will use the formula in the theorem for angle formed by secants or tangents. Thus;
∠XYZ = ½(arc WZ - arc XZ)
From the image, arc WZ = 175° and arc XZ = 105°
Thus;
∠XYZ = ½(175 - 105)
∠XYZ = ½(70)
∠XYZ = 35°
Hmm they're both even numbers so maybe we can start by cutting each number in half.

18 and 48 had 2 as a common factor.
So factoring a 2 out of each number was the same as cutting each number in half. Try to do something similar with the 9 and 24. They each have something in common.
Answer:
A
Step-by-step explanation:
Given
20 - || - 13 | + 17 |
Note the absolute value function always returns a positive value, that is
| - a | = | + a | = a, thus
= 20 - | | - 13 |+ 17 |
= 20 - | 13 + 17 |
= 20 - | 30 |
= 20 - 30
= - 10 → A
Answer:
The 10th term of the sequence is 200.
Step-by-step explanation:
Given that,
The sequence is as follows :
f(n)=100+10n
We need to find 10th term of the sequence.
Put n = 10 in the given expression.
f(10)=100+10(10)
= 100 + 100
= 200
Hence, the 10th term of the sequence is 200.
Answer:

Step-by-step explanation:
A circumference of a circle can be determined by this: 2*pi*r
We're given the diameter. Divide that by 2 to get the radius.
6.45/2 = 3.225
Now multiply that by 2*pi. That gives us 2 * 3.14 * 3.225 = 20.253.
This could've also been done easier by doing pi*d where d is the diameter and you give the answer by multiplying them both. Also works, but the above formula is just key to many things and can also be used to derive the simpler one. Hope it helps! :)