Max value of x is infinite and min value of x is 0
Answer:
B. 6√2
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:
a² + b² = c²
Here, a = b = 6, so:
6² + 6² = c²
36 + 36 = c²
72 = c²
c = √72 = 6√2
Now, we see the answer is B.
However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.
One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.
Thus, the answer is B.
Answer:
P(F/E) = 0.5
Step-by-step explanation:
We have the following information:
P(E∩F)=0.1
P(E)=0.2
Additionally, the probability P(A/B) of event A given Event B is calculated as:
P(A/B) = P(A∩B)/P(B)
Now, we want the probability P(F/E), so it is calculated as:
P(F/E) = P(E∩F)/P(E)
Finally, replacing the values we get:
P(F/E) = 0.1 / 0.2
P(F/E) = 0.5
Answer:
<h2>A: -12</h2>
Step-by-step explanation:
Put the values of a = -46 and b = 34 to the expression a + b:
-46 + 34 <em>use the commutative property a + b = b + a</em>
= 34 + (-46) = 34 - 46 = -12
the diagonals of a rhombus bisect the angles.
if angle 2 is 48, angle 4 is also 48. therefore, by alternating interior angles, angles 9 and 7 are also 48. This means m<MOH = 96.
if angle 7 is 61, angle 9 is 61 as well. this means m<MOH is 122. therefore m<RHO = 180 - m<MOH. this means m<RHO = 58.
I'm not sure I understand the context of 5. how are do they expect you to solve for x? you could solve for it in terms of m<3, which would mean x = (m<3 + 6)/8.
