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2 years ago

He Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____.

1 answer:

6 0

According to the angle-sum theorem, the sum of the measures of the angles of an n-gon is expressed in the formula B. (n – 2)*180. This is verified in a simplt triangle, in which the total sum of the angles inside is 180 with n of the polygon equal to 3. Hence, (3-2)*180 equal to 180 degrees.

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What is a scale drawing and how do you solve it? ( You can use any example to represent how to solve a scale drawing) Thanks!

pickupchik [31]

The definition of a Scale Drawing is- A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Well an example would be- Write the scale of the drawing, 1 cm = 1.5 m, as . Then write a proportion in which each ratio compares centimeters to meters. Let n represent the actual length of the boat. The actual length of the boat is 4.5 m. explaining is a little hard, but u can look up video examples to help u understand better

6 0

2 years ago

8) A school community had planned to reduce the number of grade 9 students per class room by constructing additional class rooms

Allisa [31]

Step-by-step explanation:

Let "c" be the original number of classrooms.

The 1200/c was the original number of students per classroom.

----

Equation:

1200/(c-4) = (1200/c)+10

Multiply thru by c(c-4)

---

1200c = 1200(c-4)+10c(c-4)

---

1200c = 1200c-4800 + 10c^2-40c

----

10c^2-40c-4800 = 0

c^2-4c-480 = 0

Factor:

(c-24)(c+20) = 0

---

Positive solution:

c = 24 (# of classrooms originaly planned)

7 0

2 years ago

-Combine like terms and simplify the expressinon 2x+4y+3x+8

Feliz [49]

Answer:

5x+4y+8

Step-by-step explanation:

2x+3x=5x

5x+4y+8

5 0

1 year ago

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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

2 years ago

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(Geometry Question) : Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment AB th

Elena-2011 [213]

Answer-7:4

Have a good day

7 0

2 years ago

Read 2 more answers