1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
9

if the sum of the measures of the interior angles of a convex polygon is 1440° , how many sides does the polygon have?

Mathematics
1 answer:
kupik [55]3 years ago
6 0
S = sum of the interior angles
n = number of sides

S = 1440 is given. Let's solve for n.

S = 180*(n-2)
1440 = 180*(n-2)
1440/180 = 180*(n-2)/180
8 = n-2
8+2 = n-2+2
10 = n
n = 10

There are 10 sides. This is a decagon.
You might be interested in
Which vocabulary word best describes the math sentence you see here?
nlexa [21]

Answer:

Expression

Step-by-step explanation:

Remember, an expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. An equation is a mathematical sentence that says two expressions are equal. My work don't copy®️

7 0
2 years ago
PLS HELP WILL AWARD BRAINLIST!!!! PLS HELP DUE Tomorrow
Serhud [2]

Answer:

72º

Step-by-step explanation:

Angles at a point = 360º

Number of wedges = 5

Angle of each wedge

= 360 ÷ 5

= 72º

3 0
3 years ago
Help? Please?<br> I really suck at geometry
Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations \left \{ {{x=y+10} \atop {4y=x+2}} \right. you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.

If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.

To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.

8 0
3 years ago
Yoo how yall doinnnnn
ICE Princess25 [194]

Answer:

pretty good tired of the virus stuff but good

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Is the first number divisible by the second 790 by 2
gogolik [260]
Yes, 790 is divisible by 2. The answer is 395
3 0
3 years ago
Other questions:
  • What is the length of segment AB? (1 point) Coordinate grid shown from negative 8 to positive 8 on both x axis and y axis at int
    12·1 answer
  • Find two consecutive positive integers such the sum of their squares is 145
    13·1 answer
  • You are installing wood trim in a room that is 144 inches long. You are required to use a finishing nail in
    12·2 answers
  • Which equation represents this problem? During a basketball game, Rea scores two less than five times the number of points that
    15·2 answers
  • In a park,a sidewalk is built around the edge of a circular pond.The sidewalk is 7 feet wide,and the pond measure 15 feet across
    12·1 answer
  • I’m confused on questions c-f
    8·2 answers
  • Which expression is equivalent to 7(6+y) *
    11·2 answers
  • (3x+2) and (5x-6) solve for x
    11·1 answer
  • Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to
    15·2 answers
  • You roll a number cube and flip a coin. What is the probability of rolling a number less than 5 and flipping heads?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!