Given that a || b, m∠2 = 63° and m∠9 = 105°.
Now, all the angles are as follows:
m∠5=
m∠2 = 63° [vertically opposite angle]
m∠7=
m∠9=105° [vertically opposite angle]
m∠8=
180°-m∠9=180°-105°=75° [Supplementry angles, m∠8+m∠9=180°]
m∠10=
m∠8=
180° [vertically opposite angle]
m∠6=
m∠8=75° [ Alternate angles]
m∠3=
m∠6=75° [vertically opposite angle]
m∠1=
180°-(m∠2+m∠3)=180°-(63°+75°)=42° [as m∠1+m∠2+m∠3=180°]
m∠4=
m∠1=42° [vertically opposite angle]
m∠11=m∠4=42° [ Alternate angles]
m∠13=
m∠11=42° [vertically opposite angle]
m∠12=
180°-m∠11=180°-42°=138° [as m∠8+m∠9=180°]
m∠14 =
m∠12=138° [vertically opposite angle]
Answer:
<em>y=-6</em>
Step-by-step explanation:
<u>Proportions</u>
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
Substituting x=-3 y=9:
9 = k(-3)

Now the relationship is:
y = -3x
For x=2
y = -3(2) = -6
Solutions
Associative Property is a rule that refers to grouping. The rule is "<span>a + (b + c) = (a + b) + c</span><span>".
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The correct answers are (A) and (D)
(A) = <span> (11 + 2.2) + (–5) = 11 + [2.2 + (–5)]
(D) = </span><span>–7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)</span>
2(m - 5) + 6PEMDASu multiply 2 into (m-5)2*m and 2*-5that would be 2m-10 + 6now subtract common variables-10 + 6 = -42m - 4