If you are working out the diagonal line you need to use Pythagoras Theroum: c² = a²+b²
c² = 7²+12² = 193
√c² = c = √193 = 13.89
The length of the diagonal side is 13.89,
Hope this helps! :)
Answer: Choice D
By the hinge theorem, we know that the opposite side of the given angles will be larger as you increase the angle. Basically think of a door opening. The greater or wide the door is open, the larger the hinge angle leading to a larger distance from door to frame.
We see that angle G = 70 is larger than angle B = 28. So the opposite side HF must be larger than side AC
Note: the hinge theorem only works if we know two pairs of sides are congruent like this
Sum ---- Combinations
2 --------- 1
3 --------- 2
4 --------- 3
5 --------- 4
6 --------- 5
7 --------- 6
8 --------- 5
9 --------- 4
10 ------- 3
11 ------- 2
12 ------- 1
7 has 6 combinations.
Now,
2 and 12 ---- 1+1 = 2
2 and 5 ------1+4 = 5
12 and 8 ---- 1+5 = 6
12 and 8 would, therefore, make the game fair.
Answer:
Yes
Step-by-step explanation:
The sum of any 2 sides of a triangle are greater than the 3rd side.
2,2,3 satisfies this condition.
Ax + Bx = C is standard form
Your answer will be C.) -3x + 13y = 25
Hope this helps :)