Answer:
b = 21
Step-by-step explanation:
By the Pythagorean Theorem, which states that if you have a right angle with legs of a and b, and a hypotenuse of c, then a^2+b^2=c^2. Use this on the right triangle in the diagram to get 841 = 400 + b^2, or 441 = b^2 and b = 21.
Note: I think that the 1st diagram was unnecessary. ;)
It would be 4/5 hope that helps
Answer:
True
Step-by-step explanation:
When two events are disjoints then both events does not occur at the same time.
The intersection of both events is 0
Tossing a coin and getting a tail or head are the two disjoint events
To find the number of outcomes of disjoint sets, we add the number of each event like we add the number of outcomes of getting head and tail .
So, its true
Answer:
34 degrees
Step-by-step explanation:
considering the two lines are parallel:
(3x + 7) + (2x + 3) = 180 degrees
3x + 2x + 7 + 3 = 180 degrees
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5 = 34
the value of x = 34 degrees
Answer:
x² + x - 12 = 0
Step-by-step explanation:
If x = -4 and x = 3 are solutions to a quadratic equation, then
(x + 4)(x - 3) = 0
Expand the brackets: x² - 3x + 4x - 12 = 0
Combine like terms: x² + x - 12 = 0