<u>Answer:</u>

<u>Step-by-step explanation:</u>
Given dimensions of the box = 20cm × 6cm × 4cm .
Dimension of the cube = 2cm × 2cm × 2cm .
Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,


<h3>
<u>Hence</u><u> the</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>cubes</u><u> </u><u>that</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>fitted</u><u> </u><u>in</u><u> the</u><u> </u><u>box </u><u>is</u><u> </u><u>6</u><u>0</u><u> </u><u>.</u></h3>
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
<em />
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Tabitha started working at a coffee shop making $8.75 per hour and that every 6 months, she gets a $0.40 cents raise.
a. The formula to represent her hourly wage after each raise would be:
= $8.75 + 0.40m
where m = period of 6 months
b. Find her hourly wage at 3yrs.
First we should note that 3 years = 3 × 12 = 36 months. Therefore, we would have 6 periods in 36 months since there's an increase every 6 months.
Therefore, using the formula
= $8.75 + 0.40m
where m = 6
= $8.75 + 0.40(6)
= $8.75 + $2.40
= $11.15
12 year old runs = 100 yards
By proportionality, 6 year old will run = 100/2 = 50 yard
In total, they ran = 100 + 50 = 150 Yard
In short, Your Answer would be 150 Yards
Hope this helps!
The answer is 442.
Hope this helps!!