2 years ago

Which inequality represents all the solutions of 10(3x+2)>7(2x-4)

Mathematics

1 answer:

Murljashka [212]2 years ago

5 0

10(3x+2)>7(2x-4)

Use the distributive property:

30x + 20 > 14x -28

Subtract 14x from both sides:

16x + 20 > -28

Subtract 20 from both sides:

16x > -48

Divide both sides by 16:

x > -3

The inequality is X > -3

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Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center

vlada-n [284]

Answer:

Area of regular pentagon is 238.95 square inches.

Step-by-step explanation:

Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.

we know a regular polygon divides into 5 congruent triangles.

Side of pentagon i.e base of one triangle is 11.8 inches.

Also, distance from center to middle of side which is height of triangle is 8.1 inches.

Area of 1 triangle= $\frac{1}{2}\times base\times height$

= $\frac{1}{2}\times 11.8\times 8.1$

= 47.79 sq inches.

Area of regular pentagon=area of 5 congruent triangles= $5\times 47.79$ =238.95 sq inches.

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What number is not part of the solution set to the inequality below?

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2 years ago

Read 2 more answers

What is the solution to<br><br> −(6m+8) =4(17−m)

Sedbober [7]

Answer:

$\boxed{m = -38}$

Step-by-step explanation:

$-(6m+8) =4(17-m)$

→ Expand brackets

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→ Add 8 to both sides to collect the whole numbers

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→ Add -4m to both sides to collect the m terms

$-2m=76$

→ Divide both sides by -10 to isolate m

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