6 gallons to 42 gallons Express each ratio as a fraction in the simplest form
1 answer:
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Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
<h2>Hello!</h2>
The answers are:
3. Addition property of equality
4. - Simplification
7.
To solve the problem, we need to start with the result of the second step:
So,
For the step 3:
Then, for the 3rd step, we have to apply the addition property of equality.
The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.
Then, applying the property, we have:
Adding 7 to both sides, we have:
For the step 4:
Now, for the 4th step, we have to simplify the expression:
Then, simplifying, we have:
For the step 7:
Simplificating, we divide each side of the equality by 6:
Have a nice day!