Daniel bought 2 boards of wood for a school project. one board is 24 inches long, and the other board is 20 inches long. he want
1 answer:
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Step-by-step proof:
Check the attached picture
Statement - Reason
Parallelogram ABCD - Given
Line AC - two points determine a line
AB║CD ; AD║BC - A parallelogram has 2 pairs of opposite sides parallel
∠1 ≅ ∠4 ; ∠2 ≅ ∠3 - line AC acts as a transversal for the parallel sides therefore, they are congruent through alternate interior angles
Line AC ≅ Line AC - Reflexive property
ΔABC ≅ ΔCDA - ASA (Angle - Side - Angle postulate)
∠D = ∠B - CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
m∠1 = m∠4 ; m∠2 = m∠3 - Congruent angles have congruent measures
m∠1 + m∠2 = m∠3 + m∠4 - Addition property of equality
m∠1 + m∠2 = m∠DAB m∠3 + m∠4 = m∠BCD - Angle Addition Postulate
m∠DAB = m∠BCD - Substitution
∠DAB = ∠BCD - Congruent angles have equal measures.
Hope this helps :)
Answer:
49
Step-by-step explanation:
= Simplify the exponents.
= Multiplication.
= 49 Addition.
Answer:
The solutions are:
Step-by-step explanation:
Given the function
In order to determine the zeros of the function, we substitute f(x) = 0
switch sides
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
Thus,
x = 0
and solving x + 3 = 0
x + 3 = 0
subtracting 3 from both sides
x + 3 - 3 = 0 - 3
x = -3
and solving x - 4 = 0
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4
Therefore, the solutions are: