If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Answer:
<u>The box with largest volume is Box A. Its volume of 67,375 cm³ (cubic centimeter) or 0.068 m³(cubic meter) is higher than box B and box C.</u>
Step-by-step explanation:
1. Given that we know the three dimensions (length, width and height) of each box, we will use the following formula for calculating the volume:
Volume = Length * Width * Height
Box A
Volume = Length * Width * Height
Volume = 35 * 35 * 55
Volume = 67,375 cm³
Converting to m³ = 67,375 * 10⁻⁶ = 0.068 m³ (Rounding to 3 decimal places)
Box B
Volume = Length * Width * Height
Volume = 40 * 40 * 40
Volume = 64,000 cm³
Converting to m³ = 64,000 * 10⁻⁶ = 0.064 m³ (Rounding to 3 decimal places)
Box C
Volume = Length * Width * Height
Volume = 60 * 30 * 30
Volume = 54,000 cm³
Converting to m³ = 54,000 * 10⁻⁶ = 0.054 m³ (Rounding to 3 decimal places)
<u>The box with largest volume is Box A. Its volume of 67,375 cm³ (cubic centimeter) or 0.068 m³(cubic meter) is higher than box B and box C.</u>
Think of F(x) is y so the domain would be the opposite side so the answer would be the X side so F -4 -1 0 2 and 7
Answer:
C. 10
Step-by-step explanation:
The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.
