Answer:
B. scalene
Step-by-step explanation:
A. acute - all angles are less than 90 degrees
B. scalene - all sides are different lengths
C.equilateral - all sides the same length
D. right- one angle is 90 degrees
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Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
Answer:
- <u><em>Option D. 0.50</em></u>
Explanation:
1. Two-way table:
Calories per Day:
1000 to 1500 1500 to 2000 2000 to 2500 Total
Weight
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
2. Total number of persons
Look at the intersection of the totals for the columns and the rows: 500
3. Number of persons that consume 1,500 to 2,000 calories in a day
Look at the total for the column 1,500 to 2,000 calories per day: 250
4. Probability that a person consumes 1,500 to 2,000 calories in a day, P
- P = number of persons that consume 1,500 to 2,000 calories / total number of persons
- P = 250 / 500 = 0.50 ↔ option D.
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