Answer:
Hope the below answer is easy to understand
Step-by-step explanation:
1) Given the four angles of a quadrilateral are in the ratio 1:2:3:4
Then Let the angles are x,2x,3x and 4x
We know that total of four angles of a quadrilateral =360 °
∴x+2x+3x+4x=360 °
⇒10x=360 °
⇒x=36 °
hence the measures of angles are 36 ° ,72 ° ,108 ° ,144 °
2) Measure of interior angle of a polygon= 180°.
Sides of the polygon = 7 sides
Therefore,
Interior angle of the polygon having 7 sides = 180/7 = 25 5⁄7°
The first four terms of the sequence are 3 , 6 , 12 , 24
Step-by-step explanation:
We need to find the first four terms of the sequence 
where 
to find them do that
- Substitute n by 2 in the rule to find
- Substitute n by 3 in the rule to find
- Substitute n by 4 in the rule to find
∵
- Substitute n by 2 to find the 2nd term
∴ 
∴ 
∵
∴ 
∴ 
- Substitute n by 3 to find the 3rd term
∴ 
∴ 
∵
∴ 
∴ 
- Substitute n by 4 to find the 4th term
∴ 
∴ 
∵
∴ 
∴ 
The first four terms of the sequence are 3 , 6 , 12 , 24
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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P E M D A S
Parentheses first:
So, 12 + 4 x 13 - 2
12 + 52 - 2
64 - 2
62
The greatest common factor is 2
Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
