Answer:
1. a + b + c = 180
2. b + d = 180
3. d = a + c
Step-by-step explanation:
1. a + b + c = 180:
Angles in a triangle add up to 180
2. b + d = 180:
Angles in a straight line equal 180 because they are supplementary angles
3. d = a + c:
ΔACD is an exterior angle, and ΔACB is interior adjacent, hence ∠a and ∠c add up to ∠d
Answer:
(4, 1)
Step-by-step explanation:
8 units to the right = x + 8, so -4 + 8 = 4
4 units up = y + 4, so -3 + 4 = 1
Answer:
remainder = 32
Step-by-step explanation:
Using synthetic division with divisor (x - 2) , that is h = 2
There is no x³ term so include zero as its coefficient in the table
2 | 3 0 - 3 2 - 8
↓ 6 12 18 40
------------------------------
3 6 9 20 32 ← remainder
For the second question, your first option is correct, you would rewrite 8 in power-base form 8=2^3 as the first step to solving the equation, power base form is exponential form.
Let's do the math. In the example a =2, b = 3, c = 5. If we are trying to see if the sum of these numbers has a common factor more than 1 do the math. 2 + 3 + 5 = 10. Ten has four factors which are 1, 2, 5, and 10. So the answer to your question is yes.