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Elden [556K]
2 years ago
11

Determine the number of subsets of {12, 13, 14}

Mathematics
1 answer:
Alex787 [66]2 years ago
7 0

Answer:

8

Step-by-step explanation:

{ }

{12} {13} {14}

{12, 13} {12, 14} {13,14}

{12, 13, 14}

Total: 8

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yan [13]

Answer:

No

Step-by-step explanation:

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because the product has a decimal of 8780 recurring 3, therefore 26341 is not divisible by 3

8 0
3 years ago
What is 3:7 put in to lowest forms?
Artemon [7]
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Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the n
krek1111 [17]

Answer:

A

Step-by-step explanation:

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b

Step-by-step explanation:

8 0
3 years ago
Triangle $ABC$ has a right angle at $B$. Legs $\overline{AB}$ and $\overline{CB}$ are extended past point $B$ to points $D$ and
Lisa [10]

Answer:

Given :

ABC is a right triangle in which ∠ABC = 90°,

Also, Legs AB and CB are extended past point B to points D and E,

Such that,

\angle EAC = \angle ACD = 90^{\circ}

To prove :

EB\times BD=AB\times BC

Proof :

In triangles AEC and EBA,

∠EAC= ∠ABE ( right angles )

∠CEA = ∠AEB ( common angles )

By AA similarity postulate,

\triangle AEC \sim \triangle EBA,

Similarly,

\triangle AEC \sim \triangle ABC

\implies\triangle EBA\sim \triangle ABC-----(1)

Now, In triangles ADC and CBD,

∠ACD = ∠CBD ( right angles )

∠ADC= ∠BDC ( common angles )

By AA similarity postulate,

\triangle ADC \sim \triangle CBD,

Similarly,

\triangle ADC \sim \triangle ABC

\implies \triangle CBD\sim \triangle ABC-----(2)

From equations (1) and (2),

\triangle EBA\sim \triangle CBD

The corresponding sides of similar triangles are in same proportion,

\frac{EB}{BC}=\frac{AB}{BD}

\implies EB\times BD=AB\times BC

Hence, proved....

5 0
3 years ago
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