Solve for z: 1.5z + 2 = 5(0.4z + 1.1)

z=−7

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1.5z+2=5(0.4z+1.1)

1.5z+2=(5)(0.4z)+(5)(1.1)(Distribute)

1.5z+2=2z+5.5

Step 2: Subtract 2z from both sides.

1.5z+2−2z=2z+5.5−2z

−0.5z+2=5.5

Step 3: Subtract 2 from both sides.

−0.5z+2−2=5.5−2

−0.5z=3.5

Step 4: Divide both sides by -0.5.

−0.5z

−0.5

=

3.5

−0.5

z=−7

answer: 15

step-by-step explanation:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐