Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
Answer:
The third angle of the triangle is 70°.
Step-by-step explanation:
The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.
We have to find the third angle.
Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.
Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}
⇒ 30° + 80° + ∠ C = 180°
⇒ ∠ C = 180° - 30° - 80° = 70°
Therefore, the third angle of the triangle is 70°. (Answer)
Answer:
The equation is y=2x + 2
Step-by-step explanation:
4x+2y=7
2y=-4x+7
y=-2x+7/2
Hence, the gradient =-2
Note that: parallel lines share the same gradient
sub m(gradient)=-2 and the point (1,0) into y=mx+c
0=-2(1)+c
c=2
Therefore, the equation in the form of y=mx+c is y=-2x+2
Answer:
7.7%
Step-by-step explanation: