7
81 - - א 3
= 81
27
Find the value of q.

Please

q = -7

Step-by-step explanation:

3 ^ -q * 1/27 = 81

Rewriting each as a power of 3

3 ^ -q *  3^ -3 = 3 ^4

We know that a^b * a^ c = a^ ( b+c)

3 ^ (-q -3) = 3 ^4

The bases are the same so the exponents are the same

-q-3 = 4

Add 3 to each side

-q-3+3 = 4+3

-q =7

Divide by -1

q = -7

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.