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2 years ago

Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab) iii) (b2 – 49) (b + 7) + 343

Mathematics

1 answer:

marin [14]2 years ago

8 0

Answer:

plz mark brainliest✌️✌️

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Find the measures of the requested angles.

Alex777 [14]

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)

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2 years ago

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sukhopar [10]

Answer:

triangle DCA is congruent to triangle BAC - because of AAS (angle-angle-side) theorem

Step-by-step explanation:

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In the given figure x = 145º. What theorem can be used to prove the lines p and a

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2 years ago

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What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

Solving:

$(x+6)(x+2)=60$

Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

$x^2+2x+6x+12=60$

$x^2+8x+12=60$

$x^2+8x+12-60=0$

$x^2+8x-48=0$

Now factorizing:

$x^2+12x-4x-48=0$

$x(x+12)-4(x+12)=0$

$(x-4)(x+12)=0$

$(x-4)=0\,\,and\,\,(x+12)=0$

$x=4\,\,and\,\,x=-12$

So, solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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