Answer:
Arithmetic
Step-by-step explanation:
It will be c- 20:
4q and 2(q+30) have to equal the same therefore q=30 which makes both these equations equal.
3p + 4q then have to equal 180 as they are on a straight line so you know q=30 so 4x30=120 so 180-120=60
Then 60/3=20 and that is your answer.
Hope this helps :)
Answer:
a) scale factor = 1.5
b) d length is 7.5
c) Area scale factor is 2.25
Step-by-step explanation:
Given QR =6
And ST =9
Length Scalar factor = enlarged length /previous length
=9/6
=1.5
Length Scalar factor =1.5
b)we know PS enlarged length of PQ
Length scale factor = PS/PQ
1.5 =PS/5
PS =5×1.5
PS =d =7.5
d length is 7.5
c)Formula :
Area scale factor = (length scale factor)2
=(1.5)2
=2.25
Area scale factor is 2.25
D because some of the inputs have the same output therefor it is not a function
Answer: Angle C measures 132.5 degrees
Step-by-step explanation: What we have here is an irregular polygon with six sides. Two sides have been identified as 90 and 130. And the other sides are yet unknown. We shall start by computing the total sum of the interior angles of the six sided polygon.
The formulae for computing the interior angles of a polygon is given as (n - 2) x 180,
Where n stands for the number of sides of the polygon
Therefore in this diagram, sum of the interior angles equals
(6 - 2) x 180
= 4 x 180
= 720 degrees
That means the addition of all the given angles equals 720. This can be expressed as follows;
90 + 130 + (x + 10) + x + x + x = 720
220 + x + 10 + 3x = 720
By collecting like terms we now have
4x = 720 - 220 - 10
(Note that if a positive value crosses to the other side of an equation it becomes negative and vice versa)
4x = 490
Divide both sides of the equation by 4
x = 122.5
Therefore, since angle C is (x + 10)
C = 122.5 + 10
C = 132.5 degrees
