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Inessa [10]
3 years ago
5

If 30 is 20 percent of a number, then the number is what percent of 30?

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
Percent means parts out of 100 so 20% means 20/100

short version, longer version below
20%=1/5
30=1/5
5/5 is 5 times of 1/5
500%=5 times
number is 500% of 30

longer explanation

30=20/100 of a number
30=2/10 of a number
30=1/5 of a number
multiply both sides by 5
150=5/5 of a number
30=1/5 of 150
100% means 1 times
200% =2 times
500%=5 times
150 is 500% of 30

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Determine which measurement is greater.<br><br><br><br><br> 7 lb, 4 kg, 2 kg, 5 lb
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4kg

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Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF=JK
NISA [10]

Answer:

A) AAS; B) LA; C) ASA

Step-by-step explanation:

AAS is the Angle-Angle-Side congruence statement.  It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent.  In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK.  These are two angles and a non-included side; this is AAS.

LA is the leg-acute theorem.  It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.

The leg we have congruent from each triangle is DE and JK.  We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute.  This is the LA theorem.

ASA is the Angle-Side-Angle congruence statement.  It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.  

We have that ∠D≅∠J, DE≅JK and ∠E≅∠K.  This gives us two angles and an included side, or ASA.

7 0
3 years ago
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Answer:

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31, 37, 43, 49, 55

2.

for nth number the value is 31+6(n-1)

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3 years ago
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Answer: =10x+8y−12


Step-by-step explanation:

Let's simplify step-by-step.

−6x−12+8y+16x

=−6x+−12+8y+16x

Combine Like Terms:

=−6x+−12+8y+16x

=(−6x+16x)+(8y)+(−12)

=10x+8y+−12

Answer:

=10x+8y−12

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AlladinOne [14]
V = s³. Therefore, s = ³√ V

Hope that helps you
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