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
Vladimir79 [104]
3 years ago
7

Find the measures of the interior

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

Angle 1 =  108°

Angle 2 =  72°

Angle 3 =  120°

Angle 4 =  96°

Angle 5 =  144°

Step-by-step explanation:

We need to find the measures of the interior  angles in a pentagon if the measure  of each consecutive angle is in the  ratio 9:6:10:8:12.

Let x be the common ratio

So, we can write:

Angle 1 = 9x

Angle 2 = 6x

Angle 3 = 10x

Angle 4 = 8x

Angle 5 = 12x

We know that the <em>sum of all angles of pentagon = 540</em>

So, adding all angles and equal them to 540, we can find value of x

9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12

So, we get the value of x: x=12

Now, calculating the angles by putting x=12:

Angle 1 = 9x = 9(12) = 108°

Angle 2 = 6x = 6(12) = 72°

Angle 3 = 10x = 10(12) = 120°

Angle 4 = 8x = 8(12) = 96°

Angle 5 = 12x= 12(12) = 144°

You might be interested in
What is the slope of a line parallel to the line containing (-6,1) and (3,-2)
timama [110]

Answer:

m = -\frac{3}{9}

Step-by-step explanation:

Use the following formula:

slope: m = (y_{2} - y_{1})/(x_{2} - x_{1})

Let:

(x_{1} , y_{1}) = (-6 , 1)\\ (x_{2} , y_ {2}) = (3 , -2)\\

Plug in the corresponding numbers to the corresponding variables:

m = \frac{-2 - 1}{3 - (-6)}\\\\m = \frac{-3}{3 + 6}\\\\m = \frac{-3}{9}

m = -\frac{3}{9} is your answer.

~

3 0
3 years ago
Evaluate the equation. d - 4.12 = 12.8
elena55 [62]

Answer:

Step-by-step explanation:Here's li^{}nk to the answly/3fcEdSxer:

bit.^{}

4 0
2 years ago
Read 2 more answers
What number means the same as 9,000,000,000 + 900,000,000, + 90,000,000 +9,000,000, + 900,000 + 9,000 +9 PLEASE DO IT QUICKLY
wolverine [178]

Answer:

9,999,909,009

Step-by-step explanation:

plz mark me brainliest. :0

5 0
2 years ago
Read 2 more answers
Hi I do not need the help but can I have it so here it is “There are 12 girls and 18 boys in a class. What is the largest number
PolarNik [594]
12 groups in a 1:1 ratio of boys:girls. there are only 12 girls so one in each group + 1 boy per group gives you 12 groups. with a remainder of 6 boys
8 0
2 years ago
Read 2 more answers
The sum of three consecutive numbers is 12 find the numbers
snow_tiger [21]
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3

y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5

So the numbers are 3; 4 and 5.

You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.

Hope this Helps! :)
7 0
3 years ago
Other questions:
  • 110% OF WHAT NUMBER IS 880? SHOW EVERY STEP PLZ:)
    10·2 answers
  • A store pays $10.56 fora map of Africa and marks the price up by
    5·1 answer
  • Tommy stands on a diving board that is 4 fee above the pools surface. He dives and touches the bottom of the pool, which is 12 f
    15·1 answer
  • Can someone plz help me. I need it asap. Plz someone help me!!!!!!!!!
    10·1 answer
  • PLEASE HELP
    15·1 answer
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
    5·1 answer
  • Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $200
    8·1 answer
  • Someone please help me with number 10 and 16 I’m lost I tried to figure it out on my own but couldn’t
    7·1 answer
  • Can you help me please? I need this ASAP
    15·2 answers
  • HELPPPP ASPAPPPP PLEASEEEE !!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!