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Mathematics

1 answer:

goblinko [34]3 years ago

8 0

C is the answer 12 marbles and 20 marbles

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If n^3=x and n^4=20x , where n>0, what is the value of x?

Natali5045456 [20]

Step-by-step explanation:

∠2 and ∠7 are alternate exterior angles so they are equal.

So you can create the equation

40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.

20x = 100

x = 5

if you need m∠2 Substtute 5 for x in 20x+52

20(5) + 52 = 100 +52 m∠2= 152°

m∠7 40(5) - 48 = 200-48 m∠7= 152°

6 0

3 years ago

-8x + 2x – 16 < -5x + 7x

lana [24]

Answer:

x > 2

Step-by-step explanation:

Given

- 8x + 2x - 16 < - 5x + 7x ← simplify both sides

- 6x - 16 < 2x ( subtract 2x from both sides )

- 8x - 16 < 0 ( add 16 to both sides )

- 8x < - 16 ( divide both sides by - 8 )

Remembering to reverse the symbol as a consequence of dividing by a negative value.

x > 2

5 0

3 years ago

The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

kolezko [41]

The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure<span>?
</span>
the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a <span>a triangular prism]

</span>[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³