Set the equations to equal each other because the angles are equal.
8x - 63 = 4x - 27
+63 on both sides
8x = 4x + 36
-4x on both sides
4x = 36
/4 on both sides
x = 9

Answer:
x = 9

7 0

2 years ago

Read 2 more answers

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

Solution:

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

The total area of pyramid is given by:

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

The area of base is given as:

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

The lateral area is given as:

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

Summarizing the results:

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0

2 years ago

Write three examples of numbers that are decimal

GaryK [48]

1.24
3.56
7.89
Really any number that has a decimal (period in it)

3 0

2 years ago

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Roast beef is on sale at the deli for $6.78 per pound. How much will it cost to buy 1.5 pounds of roast beef ? Please show your

ivanzaharov [21]

So what you want to do is divide 6.78 by 2 to find one half of a pound. Then once you do that add your answer to 6.78 to equal one pound and a half. Hope this helps!

$6.78 divided by 2 = $3.39

$6.78 + $3.39 = $10.17

4 0

3 years ago