Your answer is -4. Good Luck!
Name me brainliest answer please!
<span>Which is the correctly balanced equation for the reaction of rust, Fe2O3, and hydrochloric acid, HCl? A. Fe2O3 + HCl → FeCl3 + H2O B. Fe2O3 +3 HCl → 2 FeCl3 + H2O C. Fe2O3 + 6...</span>
Step-by-step explanation:
they are not equivalent
This is a little long, but it gets you there.
- ΔEBH ≅ ΔEBC . . . . HA theorem
- EH ≅ EC . . . . . . . . . CPCTC
- ∠ECH ≅ ∠EHC . . . base angles of isosceles ΔEHC
- ΔAHE ~ ΔDGB ~ ΔACB . . . . AA similarity
- ∠AEH ≅ ∠ABC . . . corresponding angles of similar triangle
- ∠AEH = ∠ECH + ∠EHC = 2∠ECH . . . external angle is equal to the sum of opposite internal angles (of ΔECH)
- ΔDAC ≅ ΔDAG . . . HA theorem
- DC ≅ DG . . . . . . . . . CPCTC
- ∠DCG ≅ ∠DGC . . . base angles of isosceles ΔDGC
- ∠BDG ≅ ∠BAC . . . .corresponding angles of similar triangles
- ∠BDG = ∠DCG + ∠DGC = 2∠DCG . . . external angle is equal to the sum of opposite internal angles (of ΔDCG)
- ∠BAC + ∠ACB + ∠ABC = 180° . . . . sum of angles of a triangle
- (∠BAC)/2 + (∠ACB)/2 + (∠ABC)/2 = 90° . . . . division property of equality (divide equation of 12 by 2)
- ∠DCG + 45° + ∠ECH = 90° . . . . substitute (∠BAC)/2 = (∠BDG)/2 = ∠DCG (from 10 and 11); substitute (∠ABC)/2 = (∠AEH)/2 = ∠ECH (from 5 and 6)
- This equation represents the sum of angles at point C: ∠DCG + ∠HCG + ∠ECH = 90°, ∴ ∠HCG = 45° . . . . subtraction property of equality, transitive property of equality. (Subtract ∠DCG+∠ECH from both equations (14 and 15).)
Complete Question
Rectangular prism with the value of 10 cubic units is filled with cubes the side lengths of 1/2 unit how many 1/2 unit cubes does it take to fill the prism?
Answer:
80 cubes
Step-by-step explanation:
Step 1
The volume of a cube = (side length)³
From the above question, the side length of the cube = 1/2 unit
Hence, the volume of the cube = (1/2 unit)³
= 1/8 cubic units
Step 2
Rectangular prism with the value of 10 cubic units.
The number of 1/2 unit cubes that it takes to fill the prism is calculated as:
10 cubic units ÷ Volume of 1/2 unit cubes
= 10 cubic units ÷ 1/8 cubic units
= 10 × 8/1
= 80 cubes.
Therefore, number of 1/2 unit cubes that it takes to fill the prism is 80 (1/2 units) cubes
