Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence
Answer:
division equation
x/6 = 12
The size he should buy = 72 ounces
Step-by-step explanation:
Mr Ortega bought a ham. He wants to divide it into 6 ounce serving for 12 people . The division equation to find what size of ham Mr Ortega should buy is represented below.
Mr Ortega wants to share for each person 6 ounce serving for 12 people.
Let the amount of ounce he will buy = x ounces
Therefore, the division equation to find what size of hams Mr Ortega should buy will be
x/6 = 12
To find x we cross multiply
x = 12 × 6
x = 72 ounces
Answer:
156 cups of butter will be required.
Step-by-step explanation:
A bread recipe calls for the amount of butter = 13 cups
Now we have to prepare the 12 bread recipes.
Amount of butter required for 12 recipes = 13 times 12
= 13 × 12
= 156 cups
Therefore, 156 cups of butter will be required to prepare the 12 of a batch.
The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).