Answer:
<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>
Step-by-step explanation:
<u>Equations</u>
We are given some conditions applying to the internal angles on a triangle ABC.
The measure of angle A is 13 less than the measure of angle C.
The measure of angle B is 11 less than 4 times the measure of angle C
Let x = measure of angle C
The first conditions states:
The second conditions states:
The sum of all angles must be 180°, thus:
Simplifying:
6x -24 = 180
Adding 24:
6x = 204
Dividing by 6:
x = 204/6
x = 34
The measures of angles A, B, and C are respectively 21°, 125°, and 34°
Answer:
70
Step-by-step explanation:
- for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum
[in A-B=X, A is minuend and B is subtrahend ]
- so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.
therefore, $a.b=9*8=72
- as mentioned above, c.d$ should be minimum. this will be possible only when we choose 2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.
therefore, c.d$ = 1*2 = 2
- hence, the difference = 72-2 = 70
- thus, the largest possible value of the difference $a.b - c.d$ = 70
For these types of problems, plug the value inside the ( ) into the (x) of the equation.
g (-3), g (x) = 2x-2
g (x) = 2 (-3) - 2 = -6 - 2 = -8
g (-3) = -8
Answer:
The answer to your question is letter D
Step-by-step explanation:
Formula
m∠E = 
Data
m∠E = 48°
DGF = 228°
DF = x°
Substitution
48° = 
Solution
2(48) = 228 - x°
96 = 228 - x°
96 - 228 = - x°
- 132 = - x°
x° = 132°
Answer: exponential decay and 18%
Step-by-step explanation: Since what is in the parentheses is less than 1, it is exponential decay
