Answer:
Step-by-step explanation:
Consider right triangle ABC with right angle ACB. If m∠ACD = 45°, then
m∠BCD=m∠ACB-m∠ACD=90°-45°=45°.
Since CD ⊥ AB, then
m∠CDA=m∠CDB=90°.
Thus, triangles ACD and BCD are right triangles with right angles ADC and BDC. In these triangles:
m∠CAD=90°-m∠ACD=90°-45°=45°;
m∠CBD=90°-m∠BCD=90°-45°=45°.
Thus, triangles ACD and BCD are isosceles right triangles with
By the Pythagorean theorem,
Answer:
The conclusion is valid because the set of roses lying inside beautiful.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
Premises: All flowers are beautiful. All roses are flowers.
Conclusion: All roses are beautiful
It is given that All roses are flowers that means all roses are the subset of flowers.
Now, it is given that All flowers are beautiful, that means all flowers are the subset of beautiful.
Thus, the required conclusion will consist all roses are the subset of flowers and all flowers are the subset of beautiful.
Therefore, the conclusion is valid because the set of roses lying inside beautiful.
The required diagram is shown below:
