Question 1:This is a 45-45-90 right triangle. If the leg length is

, then the hypotenuse length will be

.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get

. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of

.
Then, the longer leg will have a length of

.
Also, the hypotenuse will have a length of

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
Answer:
The correct option is (B) 69.7%.
Step-by-step explanation:
The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.
The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city <em>x</em>.
The probability a positive response for program 1 from an individual from Houston is 69.7%.
Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.
Thus, the correct option is (B).
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = −
3
Step-by-step explanation: