Greatest Common Factors 1. 12 & 18 2. 9 & 35 3. 15 & 25

Mathematics

1 answer:

professor190 [17]3 years ago

5 0

Answer:

1. 6

2. 1

3. 5

Step-by-step explanation:

You can find the GCF by finding the prime factorization of the numbers.

1. 12 and 18

12= 2*2*3

18=2*3*3

They both have 2 and 3 in common, so their GCF is 2*3 or 6.

2. 9 and 35

9= 3*3

35= 5*7

Although they don't have any prime numbers in common, all numbers have the factor one in common, so they're relatively prime but their GCF is 1.

3. 15 and 25

15 = 3*5

25= 5*5

They have one 5 in common so their GCF is 5.

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Solve for the missing angle ∡&. One point for your equation and one point for the correct angle measure.

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Hello.

1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI

sin^-1(7/25) = 16.26020471°
(round as needed)

Angle &: (also in degree mode)

All angles of a triangle add to 180°.
1. 180° - (angle B + Angle A) = Angle &
2. 180° - (90° + 16.26020471°) = 73.73979529°
(round as needed)

To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle

From the picture you provided,

The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!

Good luck to you!

8 0

3 years ago

Lines m and p are parallel. If the slope of line m is 1/25 the slope of line p?

soldi70 [24.7K]

Answer:

1/25

Step-by-step explanation:

Parallel lines have equal slopes.

So,

Slope of m = Slope of p = 1/25

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3 years ago