Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:
Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>b</em>:
- Evaluate:
- Round:
<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>a</em>:
- Evaluate:
- Round:
Answer and Solution:
As per the question:
Given:
If
To prove:
Proof:
Suppose
As we know that:
Therefore,
or
Now, if we assume that
Then
Since,
and
But
A and B are disjoint set and
Therefore, this is contradictory.
Thus
So,
Every element in the set A is also present in the set C
Therefore,
Hence, proved.
Answer:
C.
Step-by-step explanation:
its C.
Answer:
b = 9
Step-by-step explanation:
simpilfy. 18/24 into denominater of 12 is going to be 9/12
Let, the number = x
It is given that, 4x - x = -21
3x = -21
x = -21/3
x = -7
In short, Your Answer would be: -7
Hope this helps!