Hello there!
The correct answer is option C
3x + 20x - 55 = -9
I am not sure if you wanted some more details but I hope this helps and if you do, just let me and I will edit it.
Good luck with your studies!
Happy New Year!~
Answer:
15187.5=2000(1.5)^5
Step-by-step explanation:
So right now he has 2000 in his saving each year it grows by 1.5 so by year 5 it should be
15187.5 in his savings
hope I did it right
The yellow line I drew is the line of reflection.
Answer:
7.5 < 7.5061 < 7.56 < 9.213
Step-by-step explanation:
1. Check the drawing of the rhombus ABCD in the picture attached.
2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.
3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°
ii) are perpendicular to each other, so m(DOC)=90°
4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.
5. By the pythagorean theorem,
![=\sqrt{9}* \sqrt{3} =3\sqrt{3} (in)](https://tex.z-dn.net/?f=%3D%5Csqrt%7B9%7D%2A%20%5Csqrt%7B3%7D%20%3D3%5Csqrt%7B3%7D%20%20%28in%29)
6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*
![\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7BDO%2AOC%7D%7B2%7D%3D4%20%5Cfrac%7B3%20%5Csqrt%7B3%7D%20%2A3%7D%7B2%7D%20)
=
![=2*9 \sqrt{3}=18 \sqrt{3}](https://tex.z-dn.net/?f=%3D2%2A9%20%5Csqrt%7B3%7D%3D18%20%5Csqrt%7B3%7D%20%20)
(
![in^{2}](https://tex.z-dn.net/?f=%20in%5E%7B2%7D%20)
)