Answer:
∠1 ≅ ∠2 congruence
m∠1 = m∠2 property of equality
m∠2 + m∠3 = 180 definition of supplementary angles
m∠1 + m∠3 = 180 Vertical Angles Theorem
∠1 and ∠3 are supplementary angles.
Find the words that fit each one
Definition of Congruence
Substitution Subtraction
Property of Equality
Definition of Supplementary
Step-by-step explanation:
Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a - )²
= a² - 2 +
= a² + - 2
= 11 - 2
= 9
Thus
(a - )² = 9 ( take the square root of both sides )
a - = 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48
Okay so in order to find the circumference we would first need to find either the diameter or radius of the circle. The perimeter of the square is 40 and each side is equal. 40/4 = 10. So the length of one side is 10. The length of one side would be the diameter of the circle.
Diameter = 10
The only thing that is left is to find the circumference.
The formulas for circumference are:
C =
d
C = 2
r
So just multiply the diameter by pi (3.14)
10 x 3.14 = 31.4
or 10
(Which would be the answer to your problem)
Answer:
2(x+2)
Step-by-step explanation:
Hope it helps you
X is 12
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