X=112
Y=90
Explanation: Y is 90 because you can see that it is a right angle! To find X you can find the 3rd angle that is in the triangle with Y in it (which is 68) and then because X is supplementary to that angle we just found you can do 180-68 which is 112!
Step-by-step explanation:
Plane S contains points A, B and C while Plane T contains points A, D and E.
Hence the answer is Plane S.
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
Domain: 1 ≤ x ≤ 4
Range : 1 ≤ f(x) ≤ 4
Step-by-step explanation:
The domain of a function f(x) is the limit within which the values of x varies.
Here, in the graph, it shows that the maximum value of x is 4 and the minimum value of x is 1.
Therefore, the domain of the function is 1 ≤ x ≤ 4
Again the range of a function f(x) is the limit within which the values of f(x) vary.
Here, the graph shows that the maximum value of f(x) is 4 and the minimum value of f(x) is 1.
Therefore, the range of the function f(x) is 1 ≤ f(x) ≤ 4. (Answer)
Answer:
d
Step-by-step explanation:
