A) Is {a, e,i,o,u} a subset of {a,b,c,d,e,f,g,h,i) Why?
2 answers:
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Since the rectangles are similar. The ratio of their sides will be the same.
So, we can write:
Therefore, the left side of the bigger rectangle will be 12 units in length.
So, we can write:
Therefore, the left side of the bigger rectangle will be 12 units in length.
Answer:
The correct option is 3.
Step-by-step explanation:
The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'
From the given figure it is noticed that triangle ABC and triangle EDC. In triangle ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.
To use HL hypotenuse and one leg of triangles must be equal.
(hypotenuse)
(leg)
(leg)
Therefore the additional information will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
