Answer:
2^1* 3^7
Step-by-step explanation:
8^-1 * 3^3/ 2^-4 * 9^-2
Negative exponents move from the numerator to the denominator or from the denominator to the numerator
2^4*9^2* 3^3 /8^1
Rewriting 9^2 as 3^2^2 = 3^4 and 8 = 2^3
2^4 * 3^3 * 3^4 / 2^3
2^4/ 2^3 = 2 and 3^3 * 3^4 = 3^(3+4) = 3^7
2* 3^7
The triangles ABC and EDF are congruent, meaning they have the same side lengths and angles measures.
The measure of DF, as both triangles are congruent, is equal to the measure of BC.
We can calculate the length of BC using the distance formula:
![\begin{gathered} D=\sqrt[]{(x_c-x_b)^2+(y_c-y_b_{})^2} \\ D=\sqrt[]{(2-2)^2+(-1-4)^2} \\ D=\sqrt[]{0^2+(-5)^2} \\ D=\sqrt[]{(-5)^2} \\ D=|-5| \\ D=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%3D%5Csqrt%5B%5D%7B%28x_c-x_b%29%5E2%2B%28y_c-y_b_%7B%7D%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%282-2%29%5E2%2B%28-1-4%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B0%5E2%2B%28-5%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%28-5%29%5E2%7D%20%5C%5C%20D%3D%7C-5%7C%20%5C%5C%20D%3D5%20%5Cend%7Bgathered%7D)
As BC is congruent with DF and BC=5, the length of DF is 5 units.
Answer:
1,008
Step-by-step explanation:
560/5 * x/9
x=1,008
Answer:
the answer is 61.60
Step-by-step explanation:
because if you even look it up 30% of 88 is 24.6 the subtract that from 88 and you get your answer.