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Mathematics

1 answer:

Advocard [28]2 years ago

7 0

Answers D. and E. are correct.
I think that B might also be correct, I hope This helps.

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Triangle ABC has side length of 14, 8 and 10.4 what are the possible side lengths of a triangle DEF if ABC is similar to DEF

defon

Answer:

DEF can have possible side lengths of 28, 16, 20.8

Step-by-step explanation:

Triangle Similarity

If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).

Triangle ABC has side lengths of 14, 8, and 10.4.

Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.

For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:

DEF can have possible side lengths of 28, 16, 20.8

Any other scale factor will do.

8 0

2 years ago

Give a proper fraction whose denominator and denominator add up to 10

saveliy_v [14]

9514 1404 393

Answer:

1/9, 2/8, 3/7, 4/6

Step-by-step explanation:

The fraction will be proper when the numerator is less than the denominator. That means numerators can be less than 10/2 = 5. The fractions that satisfy the requirement are ...

1/9, 2/8, 3/7, 4/6

Those with even numerators can be reduced. So the reduced fractions are ...

1/9, 3/7

6 0

3 years ago

Mr Dominguez spends three weeks training for a marathon. Every day he runs 1/2 mile more than the day before. If the first day h

barxatty [35]

Answer: 16 miles

Explanation:
I believe it would be 16 miles, if he starts off at 6 miles on day one and goes up 1/2 mile every day, he would be up a mile every other day, basically on day 3 he would be at 7 and day 5 at 8 miles, if the pattern continues he would be at 16 miles by day 21.

3 0

3 years ago

What is the measure of the missing angle? 40 90

Lyrx [107]

Answer:

50°

Step-by-step explanation:

I am assuming that the shape is a right triangle.

All interior angles of a triangle add up to 180°.

$x + 40 + 90 = 180\\\rule{150}{0.5}\\x + 130 = 180\\\\x + 130 - 130 = 180 - 130\\\\\boxed{x = 50}$