Hey there :)
To find the Greatest Common Factor ( GCF ) of 36, 40 and 45, let us first separate:
Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
Factors of 40: 1 , 2 , 4 , 5 , 8 , 10 , 20 , 40
Factors of 45: 1 , 3 , 5 , 9 , 15 , 45
Therefore, the GCF is 1 since only that is common in all three.
To find the Least Common Multiple of 36, 40 and 45, we see which multiplication matches in the least:
36 × 1 = 36 | 40 × 1 = 40 | 45 × 1 = 45
36 × 2 = 72 | 40 × 2 = 80 | 45 × 2 = 90
36 × 3 = 108 | 40 × 3 = 120 | 45 × 3 = 135
36 × 4 = 144 | 40 × 4 = 160 | 45 × 4 = 180
36 × 5 = 180 | 40 × 5 = 200 | 45 × 5 = 225
36 × 6 = 216 | 40 × 6 = 240 | 45 × 6 = 270
36 × 7 = 252 | 40 × 7 = 280 | 45 × 7 = 315
36 × 8 = 288 | 40 × 8 = 320 | 45 × 8 = 360
36 × 9 = 324 | 40 × 9 = 360
36 × 10 = 360
Therefore, the LCM is 360
The answer is d because you just need to multiply AB by 4
When the pentagon is drawn to scale then its value of x will be x=3.3 cm
<h3>What is the pentagon?</h3>
The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
![\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}](https://tex.z-dn.net/?f=%5Crm%20Equivalent%20%5C%20Ratio%20%3D%20%5Cdfrac%7BBottom%7D%7BLeft%7D%20%3D%5Cdfrac%7Bx%7D%7B7%7D)
For bigger pentagon
![\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}](https://tex.z-dn.net/?f=%5Crm%20Equivalent%20%5C%20Ratio%20%3D%20%5Cdfrac%7BBottom%7D%7BLeft%7D%20%3D%5Cdfrac%7B7%7D%7B15%7D)
Since both, the ratio is the same
![\dfrac{x}{7} =\dfrac{7}{15}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B7%7D%20%3D%5Cdfrac%7B7%7D%7B15%7D)
![x=\dfrac{49}{15} =3.3\ cm](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B49%7D%7B15%7D%20%3D3.3%5C%20cm)
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
To know more about Pentagone follow
brainly.com/question/4804571
Answer:
Step-by-step explanation:
5x-4=20
5x=24: x=24/5
y=3x-12
y=3(24/5)-12
y = (72-60)/5
y=12/5
Answer:
Step-by-step explanation:
(1x/4 + 1/7) + (3x/8 - 1/3) = x/4 + 3x/8 + 1/7 - 1/3
= x*2/4*2 + 3x/8 + 1*3/7*3 - 1*7/3*7
= 2x/8 + 3x/8 + 3/21 - 7/21
= (2x+3x)/8 + (3-7) /21
= 5x/8 + (-4)/21
= 5x/8 - 4/21