Final Answer:
Steps/Reasons/Explanation:
Question/Given: Factor the polynomials
<u>Step 1</u>: Ask: Which two numbers add up to and multiply to ?
and
<u>Step 2</u>: Rewrite the expression using Step 1.
~I hope I helped you :)~
Answer:
129 and 51 degrees.
Step-by-step explanation:
Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.
tan x = 12.4 / 26
x = 25.497 degrees.
The other angle will be 90 - 25.497
= 64.503 degrees.
One of the diagonal angles is 180 - (2*25.497)
= 129 degrees
and the other is 180 - 129 = 51 degrees.
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
17. Commutative property’s addition
20. Identity property’s addition