Answer:
The equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Step-by-step explanation:
a)
6a = 9a
subtract 9a from both sides
6a - 9a = 9a - 9a
-3a = 0
divide both sides by -3
-3a / -3 = 0/-3
Simplify
a = 0
b)
5x = 28
divide both sides by 5
5x/5 = 28/5
x = 28/5
c)
y = y + 1
subtract y from both sides
y - y = y+1-y
0 = 1
These sides are not equal, so
NO SOLUTION!
d)
y + 5 = 12
subtract 5 from both sides
y + 5 - 5 = 12 - 5
y = 7
Conclusion:
Therefore, the equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
m∠B = 33° is the answer.
<u>Step-by-step explanation:</u>
If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.
In any triangle, sum of the measure of the angles add up to 180°.
∠A+ ∠B+ ∠C = 180°
∠A ≅ ∠M
∠B ≅ ∠O
∠C ≅ ∠P
So we can add as,
∠A + ∠B+ ∠P = 180°
45° + ∠B + 102° = 180°
∠B + 147° = 180°
∠B = 180° - 147° = 33°
Where is q? What should i do?
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Answer:
C° = 71.6056
Step-by-step explanation:
Law of Cosines: c² = a² + b² - 2abcosC°
Step 1: Plug in known variables
29² = 30² + 15² - 2(30)(15)cosC°
Step 2: Evaluate
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
And we have our answer!