Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:
(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that 
and that 
. Plugging that in into our identity, we get:
And so solving for 
:
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer:
105 text messages
Step-by-step explanation:
7.70 divied by 154 = 0.05
0.05 per text massage
5.25 divided by 0.05 = 105
to check work:
105 times 0.05 = 5.25
Answer:
Step-by-step explanation:
There is missing information in the task: HD║FG !!!!!
∠HDE ≅ ∠FGE and ∠EHD ≅ ∠EFG
<u><em>ΔEHG ~ ΔEFG</em></u> (AAA theorem of similarity)
m∠F = 22°
m∠G = 89°
