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zaharov [31]
3 years ago
13

Resolve to me these exercises please?

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0
A)4^(n+3)=8^14
2^(2×(n+3))=2^(3×14)
2^(2n+6)=2^42
2^2n=2^36
n=18

b) (assuming a : is divide)
3^(2n+1)=9^17/3^3
3^(2n+1)=3^(2×16)/3^3
3^(2n+1)=3^29
3^2n=3^28
2n=28
n=14

d) (6^n)^4×36=216^10
6^4n×6^2=6^(3×10)
6^(4n+2)=6^30
6^4n=6^28
4n=28
n=7

e)7^(n^2)÷7=49^24
7^(n^2-1)=7^(2×24)
7^(n^2)=7^49
n^2=49
n=7

g)15^(n+4)÷5^(n+4)=81^6
3^(n+4)×5^(n+4)÷5^(n+4)=3^(4×6)
3^(n+4)=3^24
n=20

h)81^n÷9^n+9^(n+2)÷9=90÷9^6
9^2n÷9^n+9^(n+2)÷9=9*10/9^6
9^n+9^(n+1)=10/9^5
I don't know where to go from here

I)what?
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4. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruenc
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The additional information required to prove the SSS Triangle Congruence Postulate is BC = KC

<h3>How to state the additional information required?</h3>

The congruence postulate is given as:

SSS Triangle Congruence Postulate

The above means that the three sides of the triangles are congruent.

From the figure, the following side lengths are said to be congruent

AK and AB

AC and AC

For the congruence postulate of the triangle to be SSS Triangle Congruence Postulate, then the third corresponding sides must be congruent

This is represented as:

BC = KC

Hence, the additional information required to prove the SSS Triangle Congruence Postulate is BC = KC

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