Answer:
1/25
Step-by-step explanation:
64^=8
8*1/2=8/2
10^-2=1/100
8/2*1/100
1/25
This is picture for more preference.
All angles in a triangle add up to 180 degrees. So, if you are missing an angle, add up the degrees of the angles present and subtract that from 180. That will be the value of the missing angle in degrees.
Answer:
½ or 11/10
Step-by-step explanation:
3/10 = 8/10 - X
X = 8/10 - 3/10 = 5/10 = 1/2
Or,
X - 8/10 = 3/10
X = 11/10
Answer:

Step-by-step explanation:
Please refer to the image attached with this answer. Assuming our triangle to be ΔABC and Line AD meeting BC at D.
As we are given that side b = side c
The angle subtended by them ∠B and ∠C must be equal . Let us assume them to be x each . hence
x + x + 52° +31° = 180°
2x + 73° = 180°
2x = 180°- 73°
2x = 107 °
x = 53.5°
Hence in ΔACD
x+ 31°+∠2= 180°
53.5°+31°+ ∠2 = 180°
∠2=180°-84.5°
∠2=95.5°
Also
∠1 + ∠2 = 180°
∠1 + 95.5° = 180°
∠1 = 180°-95.5°
∠1 =84.5°
Now applying Sine rule in ΔABD




Hence we have c as 15.14
as we are given that side c = side b , b=15.14
The properties of any triangle says that the sum of two sides of any triangle is always greater than the third side. Hence
a<b+c
12+2x-6<15.14+15.14
6+2x<30.28
2x<30.28-6
2x<24.28
x<12.14
also side a must be greater than 0
12+2x-6>0
6+2x>0
2x>-6
x>-3
Hence the range of x will be
-3 <x < 12.14
Answer: p < 24
Step-by-step explanation: I'm assuming you mean solving for P
1. We want to get p alone and the first step would be to subtract 4 from both side which will give us: ⅔p < 16
2. Next step would to be multiplying by 3 from both sides and doing this will cancel out the 3 in the denominator giving you: 2p < 48
3. Now we have to divide both sides by 2 and we are done which gives us:
<u>p < 24</u>
<u></u>
Don't forget if we were to be dividing by a negative the sign would flip
(for example: -2p < 6 = p > 3) this isn't used in this problem but just a reminder if you see this in future problems