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4 years ago

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

Mathematics

1 answer:

yan [13]4 years ago

4 0

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

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Find both solutions for the variable b^2+ 9b+ 18=0

Paul [167]

If you would like to solve the equation b^2 + 9 * b + 18 = 0 for the variable b, you can do this using the following step:

b^2 + 9 * b + 18 = 0
(b + 3) * (b + 6) = 0

Result:
1. solution: b = - 3
2. solution: b = - 6

7 0

3 years ago

For what value of x is (2x^2+8x)/(x+4)(x^2-9) undefined?

irakobra [83]

Answer:

The value at x =3 is undefined for the given expression

Step-by-step explanation:

Given expression is $\frac{2x^2+8x}{(x+4)(x^2-9)}$

To find for what value of x is undefined in the given expression :

$\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{2x(x+4)}{(x+4)(x^2-9)}$

$=\frac{2x}{x^2-9}$

$\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{2x}{x^2-9}$

If we put x=3 in the above expression we get

$\frac{2x}{x^2-9)}=\frac{2(3)}{3^2-9}$

$=\frac{6}{9-9}$

$=\frac{6}{0}$

Therefore $\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{6}{0}$

The value at x =3 is undefined for the given expression

7 0

3 years ago

Ray UW is the angle bisector of Angle VUT. If the measure of Angle VUW = (4x + 6)° and the measure of Angle WUT = (6x – 10)°, wh

Lunna [17]

Hello! :)

Answer:

$\huge\boxed{38^{\circ}}$

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An angle bisector divides an angle in half, therefore:

m∠VUW ≅ m∠WUT

Set the expressions equal to each other:

4x + 6 = 6x - 10

Subtract 4x from both sides:

6 = 2x - 10

Add 10 to both sides:

16 = 2x

Divide 2 from both sides:

x = 8.

Substitute in the value of "x" into the equation for ∠WUT:

6(8) - 10 = 48 - 10 = 38°.

3 0

3 years ago

Use the relationship between the angles in the figure to answer the question.

Andrej [43]

X + 52 = 180 b is the answer

4 0

3 years ago

Read 2 more answers

What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2

pychu [463]

X + 7/2 = 3 x+1/2
x + 4/2 = 2 x/2

4 0

3 years ago