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Law Incorporation [45]
2 years ago
14

Find the GCF and LCM of each number using any of the methods.​

Mathematics
1 answer:
vodka [1.7K]2 years ago
8 0

The GCF is the smallest shared prime factor for each term.

The LCM is the smallest whole number that both numbers share as multiples.

For example, take #16.

Factors of 25: 1 , 5, 25

Factors of 75: 1 , 3, 5, 15, 25 ,75

The GCF that is shared would then be 25.

The smallest multiple that both share as multiples:

Multiples of 25: 25, 50, 75, etc.

Multiples of 75: 75, etc.

The LCM that is shared would then be 75.

16) 25 and 75

GCF: 25

LCM: 75

17) 35 and 5

GCF: 5

LCM: 35

18) 27 and 36

GCF: 9

LCM: 108

19) 21 and 56

GCF: 7

LCM: 168

20) 54 and 72

GCF: 18

LCM: 216

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An oak tree cast a shadow of 14 feet. A 30 foot flagpole casts a shadow of 60 how tall the Oak tree?
Alina [70]

Answer:

7 feet

Step-by-step explanation:

Oak tree = x

14 : x  as  60 : 30

Simplify the right ratio

14 : x  as 2:1

Get the same first number in both ratios by multiplying 2:1 by 7

14 : x  as 2(7) + 1(7)

14 : x as 14 : 7

Since the first number in each ratio is the same, we know that that x and 7 are equal

x = 7

Hope this helps, feel free to let me know if you would like a further explanation :)

5 0
3 years ago
List all the factors of 40
densk [106]
The foctor of 40 I this = 1,2,4,5,8,40
3 0
3 years ago
Which of the following expressions is equivalent to (x + 5) ^2
Karo-lina-s [1.5K]
(X+5)^2 = x^2 +10x + 25


the expression that is equivalent to

To multiply it we apply FOIL method
Multiply x with x+5 first and then we multiply 5 with x+5






7 0
3 years ago
Use the drop-down menus to complete the proof. by the unique line postulate, you can draw only one segment,
Doss [256]

The reflection of BC over I is shown below.

<h3>What is reflection?</h3>
  • A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is known as the reflection's axis (in dimension 2) or plane (in dimension 3).
  • A figure's mirror image in the axis or plane of reflection is its image by reflection.

See the attached figure for a better explanation:

1. By the unique line postulate, you can draw only one line segment: BC

  • Since only one line can be drawn between two distinct points.

2. Using the definition of reflection, reflect BC over l.

  • To find the line segment which reflects BC over l, we will use the definition of reflection.

3. By the definition of reflection, C is the image of itself and A is the image of B.

  • Definition of reflection says the figure about a line is transformed to form the mirror image.
  • Now, the CD is the perpendicular bisector of AB so A and B are equidistant from D forming a mirror image of each other.

4. Since reflections preserve length, AC = BC

  • In Reflection the figure is transformed to form a mirror image.
  • Hence the length will be preserved in case of reflection.

Therefore, the reflection of BC over I is shown.

Know more about reflection here:

brainly.com/question/1908648

#SPJ4

The question you are looking for is here:

C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.

6 0
1 year ago
What is 5 6/7 + 8 1/14=​
Fittoniya [83]

5\frac{6}{7}+8\frac{1}{14} =13+\frac{13}{14}=13\frac{13}{14}

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>
7 0
3 years ago
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