Answer:

Step-by-step explanation:
We need to find the value of 
So let's apply formula





Answer:
- Angle-Angle-Angle(AAA)
- Side-Angle-side(SAS)
Step-by-step explanation:
Let's see what is similar in both triangles
So Angle-Angle-Angle similarly theorem verified
So Side-Angle-side or Side-Side-Side similarity theorem verified
Step-by-step explanation:
Let the number Noah is thinking of be x,
=> x - 19 * 4 = 16
=> x - 19 = 16/4
=> x = 16/4 + 19
=> x = 4 + 19
=> x = 23
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y² = 8y - 15 (alternate angles are equal)
y² - 8y + 15 = 0
(y - 5)(y - 3) = 0
y = 5 or 3
x + 8y - 15 = 180 (angles in a straight line add up to 180)
when y = 5
x + 40 - 15 = 180
x = 155°
when y = 3
x + 24 - 15 = 180
x = 171°
Answer:
Step-by-step explanation:
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests negative, given that he or she did not have the disease.
The individual actually had the disease
Yes
No
Positive
137
7
Negative
36
120