Answer:
d). 3/5.
Step-by-step explanation:
The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:
18/30
= (18/6) / (30/6)
= 3/5.
Answer:
x ≤ -5
Step-by-step explanation:
According to given condition:
3x + 17 ≤ 2(1 - x)
By simplifying:
3x + 17 ≤ 2 - 2x
Adding 2x - 17 on both sides we get:
3x + 2x ≤ 2 - 17
5x ≤ - 15
Dividing both sides by 5 we get:
x ≤ -5
i hope it will help you!
Answer:

Step-by-step explanation:
If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.
We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.
The sum of angles DBE and CBE = m<DBC = 90°
We can add the two angles and set it equal to 90 to find x

Answer:
The artist used
more of silver wire
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
The Perimeter of the square is equal to

where
a is the length side of the square

so


so
Each side of the square has a length of 10 in
step 2
Find the circumference of the circle
The diameter of the circle is equal to the length of the side of the square
The circumference is equal to

we have

substitute

step 3
Find the difference
