In the given diagram if AB || CD, ∠ABO = 118° , ∠BOD = 152° , then find the value of ∠ODC.
1 answer:
Answer:
90°
Step-by-step explanation:
Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.
Therefore,
∠ABO + ∠BOP = 180° (by interior angle Postulate)
118° + ∠BOP = 180°
∠BOP = 180° - 118°
∠BOP = 62°.... (1)
Since, ∠BOP + ∠POD = ∠BOD
Therefore, 62° + ∠POD = 152°
∠POD = 152° - 62°
∠POD = 90°.....(2)
∠POD + ∠ODC = 180° (by interior angle Postulate)
90° + ∠ODC = 180°
∠ODC = 180° - 90°
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Answer:
<u>Option C. (0,-5)</u>
Step-by-step explanation:
See the attached figure.
As shown the shaded area represents the solution of the given inequality:
y < 6x - 4
The given options are the points:
A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Comparing the given points to the graph.
So, the point that will lie at the shaded area represent solution to the linear inequality.
So, point (0,-5) is a solution to the linear inequality.
The answer is <u>option C. (0,-5)</u>
Note: the line y = 6x-4 is graphed using the table on the graph.
The equation in the reduced form of the equation is .
Given that,
Equation;
We have to reduce the equation.
According to the question,
To reduce the equation means we need to subtract one equation from the other.
To determine the reduced form of the equation following all the steps given below.
Equation;
Subtraction equation 1 from equation 2,
Hence, The equation in the reduced form of the equation is .
For more details refer to the link given below.