ANSWER

EXPLANATION
Method 1
Vertically opposite angles are equal, therefore

This implies that,

We simplify to get,

Dividing through by 3 gives,

Also,

This implies that,

We simplify the right hand side to get,

We divide both sides both sides by 2 to get,



Method 2
Angles on straight line sums to 180°.

This implies that,




Also,






Answer:
30.67
Step-by-step explanation:
Given the following
Opposite side = x
Adjacent = 17
Angle = 61degrees
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 61 = x/17
x = 17tan61
x = 17(1.8040)
x = 30.67
Hence the value of x is 30.67
Answer: 
Step-by-step explanation:
Let
be the sample proportion.
As per given , we have
n= 411

Standard error : se=0.016
Critical value for 99% confidence : 
Confidence interval for population proportion :-

Hence, the 99% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating : 
Answer:
angles on opposite sides of a transversal that crossess parallel lines and are inside the other two lines
Step-by-step explanation: