Answer:
Step-by-step explanation:
The interior angle of a polygon is given by
(n-2)×180
or for regular polygon n × each interior angle.
Therefore since it is a regular polygon
Given than interior angle is 144
Then,
(n-2)×180=n× interior angle
180n-360=144n
180n-144n=360
36n=360
Then, n=360/36
n=10
Then the polygon has 10_sides which is a decagon.
Answer:
2.267
Step-by-step explanation:
Step 1 of 3: Add.
Add
Highlighted:14 over 15
14
15
Highlighted:+ Highlighted:8 over 15
8
15
+ 4 over 5
4
5
= Highlighted:22 over 15
22
15
+ 4 over 5
4
5
Step 1 of 3: Add, sub-step a: Add.
Add
14 over 15
14
15
+ 8 over 15
8
15
= ( 14 + 8 ) over 15
14 + 8
15
= 22 over 15
22
15
Step 1 of 3: Add.Hide
Step 2 of 3: Add.
Add
22 over 15
22
15
+ 4 over 5
4
5
= 34 over 15
34
15
Step 2 of 3: Add, sub-step a: Find common denominator.
Find common denominator
22 over 15
22
15
+ 4 over 5
4
5
= ( 22 × 1 ) over ( 15 × 1 )
22 × 1
15 × 1
+ ( 4 × 3 ) over ( 5 × 3 )
4 × 3
5 × 3
= 22 over 15
22
15
+ 12 over 15
12
15
15 is the least common multiple of denominators 15 and 5. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 3: Add, sub-step b: Add.
Add
22 over 15
22
15
+ 12 over 15
12
15
= ( 22 + 12 ) over 15
22 + 12
15
= 34 over 15
34
15
Step 2 of 3: Add.Hide
Step 3 of 3: Simplify.
Simplify
34 over 15
34
15
= 2 and 4 over 152
4
15
Step 3 of 3: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 34 and 15. The result can't be further reduced.
Step 3 of 3: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
34 over 15
34
15
= 2 and 4 over 152
4
15
34 ÷ 15 = 2 remainder 4
Answer:
Step-by-step explanation:
1. set the equation for the area of each shape equal to each other
2. simplify each side until you get
3. subtract 16 from both sides which will give you
4. subtract 3x from both sides which will give you the value of x.
5. check that is correct by plugging it into the equations
triangle:
rectangle:
the areas are the same
A) False. Some rectangles do not have all four sides that are the same length.
B) False. If the four angles are not all 90 degrees, then it is a non-rectangular parallelogram.
C) True. A square is always a rectangle since a square has four right angles. The same isn't always true in reverse (as choice A mentions). A square is also always a rhombus.
D) False. It is possible to draw a four-sided figure that does not have four right angles.
Answer is choice C
Answer:
60 more students
Step-by-step explanation:
400 × 0.3 (30%) = 120
400 × 0.15 (15%) = 60 = 120÷2
120 -- 60 = 60
60 more students
brainliest plz if someone else answers