D because those options do not intersect and are part of the universal set
<span>twenty six</span> <span>hundredths would be the word form of 0.26 :)
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Answer: XI = 10.35 mm
Step-by-step explanation:
Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
XI/SinF = XF/SinI = FI/SinX
The sum of the angles in a triangle is 180°. It means that
F + 63 + 52 = 180
F = 180 - (63 + 52)
F = 65°
Therefore
XI/Sin 65 = 9/Sin 52
Cross multiplying, it becomes
XISin52 = 9Sin65
0.788XI = 9 × 0.906
0.788XI = 8.154
XI = 8.154/0.788
XI = 10.35
Answer:
Question #1
m∠4 + m∠7 = 180° - Given.
∠4 and ∠7 are supplementary angles - Definition of supplementary angles.
∠7 and ∠2 form a linear pair - Definition of linear pair.
∠7 and ∠2 are supplementary angles - Definition of linear pair.
m∠7 + m∠2 = 180° - Definition of supplementary angles.
m∠2 = m∠4 - Substitution property.
c ║ d - Converse of corresponding angles postulate.
Question #2
m∠3 = m∠8 - Given.
∠8 and ∠6 form a linear pair - Definition of linear pair.
∠8 and ∠6 are supplementary angles - Definition of linear pair.
m∠8 + m∠6 = 180° - Definition of supplementary angles.
∠3 and ∠6 are supplementary angles - Substitution property.
m∠3 + m∠6 = 180° - Definition of supplementary angles.
Question #3
p ║ q - Given.
∠1 ≅ ∠5 - Given.
∠1 ≅ ∠2 - Alternate interior angle theorem.
∠2 ≅ ∠5 - Substitution property.
~Hope this helps!~
Commutative means 'you can swap them'. I.e., a+b = b+a, addition is commutative. Subtraction is not.
The first answer: <span>2(6a − 3) = (6a − 3) ⋅ 2 is an example where 2 and (6a-3) are the factors that can be swapped, because multiplication is commutative.</span>
