Answer:
HL (hypotenuse leg)
Step-by-step explanation:
From the diagram, we have two sides that are congruent
The side QS is common to both triangles
Also, we have it that the side PS and QR are congruent
What this mean is that we have two sides that are already the same
Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles
Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another
The diameter is the radius ×2
Answer:
X. 120 Y. 30 Z. 36.5
Step-by-step explanation:
X. 360-107-133= 120
Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30
Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5
Answer:5w^2 -2205
Step-by-step explanation:
simplify the product so (1) w mutiplied by w gives you w^2 . (2) 21 mutilplied by 21 gives you 441 . so now you would have 5( w^2 -441 ) (3) now you distribute 5 among the numbers so you should have 5w^2 -2205 .
Answer:
1.) .399
2.) {.369, .429}
Step-by-step explanation:
The proportion of criminals in this sample that were caught was 
=.39944, .399 rounded to three decimal places.
To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.
The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.
The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.
Finally, we need the standard error. The formula for standard error for a proportion with a single population is 
so in this situation it would be 
=.0183.
The confidence interval would be .399±.018×1.645 or .399±.030 {.369, .429}
