Answer:
Pattern rule tells us the start number of pattern and how the pattern continues.
For instance, 5, 8, 11, 14 , 15....
Step-by-step explanation:
Pattern rule tells us the start number of pattern and how the pattern continues.
For instance, 5, 8, 11, 14 , 15....
In the above sequence, it starts with 5 and add 3.
Here the common difference between each successive term is 3.
The rule = first + 3
Let's take "a1" is the first term. "n" is the number of terms, "d" is the common difference
an = a1 + (n-1)d
Here a1 = 5
Let's find the second term, n = 2
a2 = 5 + (2 -1)d
a2 = 5 + (1)(3)
a2 = 8
Similarly, we can find the other terms using the rule
an = a1 + (n-1)d
Hope this will helpful.
Thank you.
Answer:
6n - 4
Step-by-step explanation:
product means to multiply
let the number be n, then
product of 6 and n = 6 × n = 6n
4 less than this product means subtract 4 from it, hence
6n - 4 ← required expression
The word that describes the relationship between opposite angles of a parallelogram is "congruent," indicating that these angles have the same measure.
The word that describes the relationship between opposite angles of a parallelogram is "congruent."
In a parallelogram, opposite angles are congruent, meaning they have the same measure.
This property is a consequence of the parallel sides in a parallelogram.
When two parallel lines are intersected by a transversal, such as the sides of a parallelogram, several pairs of angles are formed.
Opposite angles, also known as alternate angles or vertical angles, are formed by the intersection of the diagonals wit hin the parallelogram.
By definition, vertical angles are congruent.
This means that opposite angles in a parallelogram have equal measures.
If one opposite angle is x degrees, then the other opposite angle will also be x degrees.
This property holds true for all parallelograms, regardless of the specific dimensions or shape of the parallelogram.
Whether the parallelogram is a rectangle, a square, or a rhombus, the relationship between opposite angles remains the same.
Understanding this relationship allows us to use the congruence of opposite angles as a tool in solving problems involving angles within a parallelogram.
It provides a basis for making geometric deductions and calculations based on the equality of angle measures.
For similar question on congruent.
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Answer:
Step-by-step explanation:
=>
Cross Multiplying
=> x * 3 = 5 * 17
=> 3x = 85
Dividing both sides by 3
=> x = 85/3
=> x = 28.3 (To nearest tenth)
Answer:
Step-by-step explanation:
The proportion is given,
We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.
Multiply both sides of the equation by 5.
Simplify the equation.
The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).
Answer:
c
Step-by-step explanation: