Find the unit rate for an 8-ounce container of jolly juice.explain your answer
2 answers:
Answer:
<h2>The price per unit is $0.96 per ounce for a 8-ounce container.</h2>Step-by-step explanation:
The given table is
Containers Price
8 oz $0.96
16 oz $1.60
32 oz $2.56
64 oz $3.84
Now, when we talk about unit rate for an 8-ounce container, it refers to the price per ounce,
According to the table, an 8-ounce container costs $0.96. So, the ratio per unit is
Therefore, the price per unit is $0.96 per ounce for a 8-ounce container.
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Answer:
The true statements are
1. BD = DB'
3. m∠EFA = 90°
4. The line of reflection, EH, is the perpendicular bisector of BB', AA', and
CC'
Step-by-step explanation:
* Lets explain how to solve the problem
- Reflection is flipping an object over the line of reflection.
- The object and its image have the same shape and size, but the
figures are in opposite directions from the line of reflection
- The objects appear as if they are mirror reflections, with right and left
reversed
- The line of reflection is a perpendicular bisector for all lines joining
points on the figure with their corresponding images
- Look to the attached figure for more understand
* Lets solve the problem
- ΔA'B'C' was constructed using ΔABC and line segment EH, where
EH is the reflection line
- D is the mid-point of BB'
- F is the mid-point of AA'
- G is the mid-point of CC'
* Lets find from the answer the true statements
1. BD = DB'
∵ D is the mid point of BB'
- Point D divides BB' into two equal parts
∴ BD = DB' ⇒ <em>True</em>
2. DF = FG
- It depends on the size of the sides and angles of the triangle
∵ We can't prove that
∴ DF = FG ⇒ <em>Not true</em>
3. m∠EFA = 90°
∵ The line of reflection ⊥ the lines joining the points with their
corresponding images
∴ EH ⊥ AA' and bisect it at F
∴ m∠EFA = 90° ⇒ <em>True</em>
4. The line of reflection, EH, is the perpendicular bisector of BB',
AA', and CC'
- Yes the line of reflection is perpendicular bisectors of them
∴ The line of reflection, EH, is the perpendicular bisector of BB',
AA', and CC' ⇒ <em>True</em>
5. ΔABC is not congruent to ΔA'B'C'
∵ In reflection the object and its image have the same shape and size
∴ Δ ABC is congruent to Δ A'B'C'
∴ ΔABC is not congruent to ΔA'B'C' ⇒ <em>Not true</em>
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
The area of the triangle DEF is 10.
