An equation is shown below:4(x − 3) − 5(x + 1) = 3
Which statement shows a correct next step in solving the equation?
The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication
Answers
Answer:
Option C is correct.
The equation can become by applying distributive property.
Step-by-step explanation:
Given an equation:
Distributive property states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately i.e,,
Apply distributive to the given equation we get;
Simplify:
Therefore, the statement which shows a correct next step in solving the equation is, the equation can become by applying distributive property.
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Answers
example: ABC =~ DEF
Answer: it's congruent to
Step-by-step explanation:
Answers
Answer with explanation:
A decimal number is terminating , if it's denominator is of the form
The fraction or Rational number ,
has both 2, and 11 in the denominator,it means this decimal number is non terminating repeating.
So,
Non terminating repeating decimal.
1.) What is the sum of the interior angles of a polygon having 8 sides?
2.) Find the measure of the exterior angle of a regular decagon.
3.) Find the number of diagonals of a nonagon.
4.) What is the measure of each angle of a regular nonagon?
5.) if the sum of the measures of the angles of a regular polygon is 900, then
what is the number of sides?
Answers
Answer:
1. 1080°
2. 36°
3. 27 diagonals
4. 140°
5. 7 sides
Step-by-step explanation:
1. The sum S of the interior angles of a polygon is given by;
S = (n-2) x 180°
Where;
n = number of sides of the polygon.
Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;
S = (8 - 2) x 180°
S = 6 x 180°
S = 1080°
Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°
2. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a regular decagon where the number of sides n = 10, the sum is;
S = (10 - 2) x 180°
S = 8 x 180°
S = 1440°
Since the decagon is regular, then each of its interior angles is given by;
1440° / 10
=> 144°
Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;
The exterior angle of a regular decagon is;
180° - 144° = 36°
Therefore, the exterior angle of a regular decagon is 36°
3. The number of diagonals N of a polygon with n sides is given by;
N =
So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;
N =
N =
N = 9(3)
N = 27
Therefore, a nonagon has 27 diagonals.
4. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a nonagon where the number of sides n = 9, the sum is;
S = (9 - 2) x 180°
S = 7 x 180°
S = 1260°
Since the nonagon is regular, then each of its interior angles is given by;
1260° / 9
=> 140°
Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°
5. The sum of the interior angles of a polygon is given by;
S = (n - 2) x 180°
So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;
900° = (n - 2) x 180°
Divide through by 180°
5 = (n - 2)
Solve for n;
n = 5 + 2
n = 7
Therefore, the regular polygon has 7 sides.
Answers
Answer:
It will take 4 hours to dig in the garden
Step-by-step explanation:
First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter
d = diameter
π = 3.14
c = circumference
c = π * d
d = c / π
d = 88yd / 3.14
d = 28.025yd
round to the nearest whole number
28.025 = 28
d = 28yd
To know how many hours it takes, we divide the diameter by the speed
t = time
v = velocity
t = d / v
t = (28yd) / (7yd/h)
t = 4h
It will take 4 hours to dig in the garden
Answers
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Answers
v=(bh)/3
mulitply both sides by 3
3v=bh
divide both sides by b
(3v)/b=h
answer is B