Answer:
C. p -> q
Step-by-step explanation:
Just did this on Edge2020. Hope this helps :)
Answer:
see below
Step-by-step explanation:
The measure of a minor arc is the same as the angle that forms it.
1. Since ∠GBJ = 90°, the answer is 90°.
2. ∠HBI = 180° - 151° = 29° so the answer is 29°.
3. ∠HBJ = 180° so the answer is 180°.
4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/
5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.
6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.
Answer:
Perimeter = 15
Step-by-step explanation:
We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.
Thus means that we can write the 3 terms as;
(x - 2), x, (x + 2)
Thus, perimeter is;
P = (x - 2) + x + (x + 2)
P = 3x
If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.
Thus, this side is (x + 2)
Using cosine rule, we have;
(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120
Expanding, we have;
x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)
This reduces to;
4x = x² - 4x + x² - 2x
2x² = 10x
2x = 10
x = 10/2
x = 5
Thus, other sides are;
(x - 2) = 5 - 2 = 3
And (x + 2) = 5 + 2 = 7
So,perimeter is;
P = 3x = 3 × 5 = 15
