Answer:
9/25
Step-by-step explanation:
I used to struggle on these too, but I'll exaplain the best I can. Firstly, we know that 3 people don't have a cat or a dog, so what we do is we minus that from 25. This becomes 22. Now, we have to add the amount of people who have a cat to the amount of people who have a dog, and then minus it from 22, because that is the amount of people without double ups in the class with at least either one of the pets given. So, 16+15=31. Now, we do 31-22, which is equal to 9. Therefore, 9/25 people, (because the question asked out of random in the class), have a cat and a dog. This is because the double up are the extra amount of people who had more than one pet. Hopefully this was helpful. I'm sorry if it is not as probability is a hard topic to explain.
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Answer:
y = 3x + 1
Step-by-step explanation:
The y - intercept is +1
And the rise over run = 3/1 (because 3 is also 3/1)
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-Chetan K
Answer:
7. ○ ∆<em>ACB</em> ≅ ∆<em>DFE</em>
6. ○
5. ○
4. ○
3. ○
2. ○
1. ○
Step-by-step explanation:
7. Everything is in correspondence with each other, so just follow the pattern in the order the they were originally.
6. All angles correspond with each other, so just follow the pattern.
5. All segments and angles correspond with each other, so just follow their patterns.
4. An <em>octagon</em><em> </em>has eight sides, a triangle has three sides, a <em>hexagon</em> has six sides, and a <em>pentagon</em><em> </em>has five sides. With this being stated, you have your answer.
3. In a previous lesson, we confirmed that <em>all squares </em><em>are</em><em> </em><em>rectangles</em><em> </em>because it is a quadrilateral with four right angles.
2. This is obviously a rhombus because it is a quadrilateral with four congruent angles and sides.
1. An EQUILATERAL TRIANGLE is a regular polygon because they have three congruent angles and sides.
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Answer:
6.83 units
Step-by-step explanation:
Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...
(height ratio)^2 = 1/2
((h -2)/h)^2 = 1/2
(h -2)√2 = h . . . . . . square root; multiply by h√2
h(√2 -1) = 2√2 . . . . add 2√2 -h
h = (2√2)/(√2 -1) ≈ 6.8284 . . . units
The altitude of the original pyramid is about 6.83 units.