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4 years ago

5(×-4)+3×-9×=6-(2×+5)+8×

Mathematics

2 answers:

marta [7]4 years ago

6 0

5x-20+3x-9x=6-2x-5+x

-x-20=1+6x

-x-6x=1+20

-7x=21

X=-3

DerKrebs [107]4 years ago

5 0

Assuming the × signs are actually x's-

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

Apply the distributive property.

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
5x - 20 + 3x - 9x = 6 - 2x + 5 + 8x

Combine like terms.

5x - 20 + 3x - 9x = 6 - 2x + 5 + 8x
-1x - 20 = 1 + 6x

Add 20 to both sides.

-1x - 20 = 1 + 6x
-1x = 21 + 6x

Subtract 6x from both sides.

-1x = 21 + 6x
-7x = 21

Divide both sides by -7.

-7x = 21
x = -3

Answer:
x = -3

I hope this answers your question!

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

3 years ago

Read 2 more answers

How to decompose a parallelogram and rearrange the parts to form a rectangle is.

lukranit [14]

Answer:

a parrellelogram is a rectangle T^T

just that they slanted it.

UNSLANT IT.

if that makes sense.