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Lisa [10]
3 years ago
10

This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs

of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked.

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

72°

Step-by-step explanation:

The measure of each interior angle of an regular n-gon is given by:

Each interior = \frac{(n-2)*180}{n}

So each interior of the pentagon will be  \frac{(5-2)*180}{5}\\=\frac{3*180}{5}\\=108

Now we can see that the angle x is supplementary to interior angle of pentagon. So that means angle x and interior angle of pentagon add up to 180, so we can write:

108 + x = 180

x = 180 - 108 = 72

72 degrees is the right answer.

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Andre45 [30]

Answer:

So since the scale is 12 inches:5 feet, we have to divide 412 inches by 12 inches because 412 inches is the total length drawn on the scale drawing.

412/12 = 34.3

Then since each 12 inches equals 5 feet and we have 34.3 12x inches. We are just going to multiply 34.3 by 5.

34.3*5 = 171 and 2/3 feet is your actual length of the bus

6 0
3 years ago
Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

m = \frac{3 - 9}{1 - 4}

m = \frac{- 6}{- 3}

m =2

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

(x_1,y_1) = (2,0)

y - 0 = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}x + 1

Multiply through by 2

2y = -x + 2

Add x to both sides

x + 2y= -x +x+ 2

x + 2y= 2

Hence, the line of the equation is x + 2y= 2

8 0
3 years ago
Read 2 more answers
NEED AN ANSWER ASAP How are the terms in parentheses affected when multiplied by a negative coefficient when the distributive pr
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The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

The Distributive Property tells us that we can remove the parentheses if the term that the polynomial is being multiplied by is distributed to, or multiplied with each term inside the parentheses.

If a number outside the parentheses has a negative sign then the first and simplest way is to change each positive or negative sign of the terms that were inside the parentheses. Negative or minus signs become positive or plus signs. Similarly, positive or plus signs become negative or minus signs.

5 0
3 years ago
Anyone can help me with this math question?
Gennadij [26K]

Answer:

1,890 feet

Step-by-step explanation:

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8 0
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What must a clerk's sales be to give him $83.50 commission if the rate of commission is 40%?
FromTheMoon [43]

Divide commission amount by percentage:

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