Answer: See the attached image
You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically 
. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.
The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.
<u>Answer:</u>
The total number of whole cups that we can fit in the dispenser is 25
<u>Solution:</u>
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
Recall, The arc length [s] of a section of a circle is equal to the circles radius [r] times the central angle [theta] that the arc subtends. in radians.
r = 2.5 m.
s = 3 m.
Answer: c
Step-by-step explanation:
You multiply each number by 2 and then you subtract each number then you finally get 6
Complete question :
If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are
5 inches of rain? Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers.
1.5 +0.5h = 5
0.5h +5 = 1.5
1.5h +0.5 = 5
0.5h +1.5 = 5
0.5 + 1.5h = 5
Answer:
1.5 +0.5h = 5
0.5h +1.5 = 5
Step-by-step explanation:
Given that:
Rate of Rainfall = 0.5 in per hour
Already accumulated = 1.5 inches,
How many hours must have passed if there are 5 inches of rain
Rate of Rainfall = amount of Rainfall (in inches) / time (in hour)
0.5 = amount of Rainfall / h
Hence, amount of Rainfall = 0.5h
Total amount :
0.5h + already accumulated amount
If total amount = 5
Then equation becomes :
0.5h + 1.5 = 5.
