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2 years ago

Help please and thank you!!!!!

Mathematics

1 answer:

Zigmanuir [339]2 years ago

8 0

9514 1404 393

Answer:

a) 2 and 4; b) 1&2, 2&3, 3&4
x = 16

Step-by-step explanation:

1a. Vertical angles share a vertex and are composed of opposite rays. Here, angles 2 and 4 are vertical angles.

1b. Consecutively numbered angles are adjacent, as are angles 1 and 5. The pairs of interest can be chosen from ...

1&2, 2&3, 3&4, 4&5, 5&1

2. Angles 1 and 3 have the same measure, because they are vertical angles. Then we have ...

78° = (5x -2)°

80 = 5x . . . . . . . divide by °, add 2

16 = x . . . . . . . divide by 5

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Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

$M=kE$

where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

thus, we have

$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

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Thus when $E= 100$ , $M$ would be calculated as

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$M=\frac{3800}{95}$

∴ $M=40\ lb$ (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

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