Answer:
Step-by-step explanation:
we know that
In the right triangle ABC of the figure
Applying the Pythagoras Theorem
substitute the given values
Solve for c
Arrow 1 is rotated by 45° , 90° , 180° respectively as shown below , Based on this we can say – “Any object when rotated by ____
1 answer:
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Answer:
See explanation
Step-by-step explanation:
Consider triangles ACM and BCM. In these triangles,
- given;
- definition of perpendicular lines CM and AB;
- reflexive property.
So,
by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).
Two-column proof:
Statement Reason
1. Given
2. Given
3. Definition of perpendicular lines CM and AB
4. Reflexive property
5. ASA postulate
Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
