<em>Write any 4 laws, or properties, of exponents.</em>
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When we multiply together numbers with the same base,
we add the exponents.
When we divide numbers with the same base, we
subtract the exponents.
If we have a fraction to a power, we raise the numerator and
the denominator to that power.
And then last but not least,
If we have a number with a negative exponent, we flip it over.
#TogetherWeGoFar
Step-by-step explanation:
Answer:
62 i think
congruent angle pair
angles 2 and 3 are congruent(equal 90 degrees), and angles 3 and 6 are opposite each other, indicating that they are of equal measure. therefore, angles 2 and 6 and congruent.
<u>Question 4</u>
1) bisects , , and (given)
2) (an angle bisector splits an angle into two congruent parts)
3) and are right angles (perpendicular lines form right angles)
4) and are right triangles (a triangle with a right angle is a right triangle)
5) (reflexive property)
6) (HA)
<u>Question 5</u>
1) and are right angles, , is the midpoint of (given)
2) and are right triangles (a triangle with a right angle is a right triangle)
3) (a midpoint splits a segment into two congruent parts)
4) (HA)
5) (CPCTC)
<u>Question 6</u>
1) and are right angles, bisects (given)
2) (reflexive property)
3) (an angle bisector splits an angle into two congruent parts)
5) (HA)
6) (CPCTC)
7) bisects (if a segment splits an angle into two congruent parts, it is an angle bisector)
<u>Question 7</u>
1) and are right angles, (given)
2) and are right triangles (definition of a right triangle)
3) (vertical angles are congruent)
4) (transitive property of congruence)
6) (HA theorem)
7) (CPCTC)
8) bisects (definition of bisector of an angle)
17c + 9 = 10c + 9 - 7c
COMBINE LIKE TERMS
10c + 7c = 17c
9 IS NOT A LIKE TERM, SO WE LEAVE IT ALONE
ABCD is a parallelogram.
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.