Answer:
The estimate is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is 
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the margin of error can be mathematically represented as

=> 
=> 
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is

substituting values

M∠P = 12°
m∠Q = 90° [A tangent line to a circle is perpendicular to the radius drawn to the tangent point]
m∠O = 90 - 12 = 78°
Answer: x=78°
Based on the quadrilateral given, the values of the missing measures will be:
- VU = 15
- SU = 21.21
- TV = 21.21
- SW = 10.61
<h3>
Solving quadrilateral.</h3>
A quadrilateral simply means a polygon that has four sides, edges and vertices.
Based on the information given, SU = TV and this will be:
= ✓450 = 21.21
SW = 21.21/2 = 10.61
Also, for the second shape, the values will be:
OM = 46; PN = 23, ON = 46; MN = 46.
Learn more about quadrilateral on:
brainly.com/question/224113
A. The two listed added up will be 180 degrees.
5x - 57 + 3x + 5 = 180
8x - 52 = 180
8x - 52 + 52 = 180 + 52
8x = 232
x = 29
B. The two listed added up will be 180 degrees.
2x + 4x + 150 = 180
6x + 150 = 180
6x + 150 - 150 = 180 - 150
6x = 30
x= 5
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