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wariber [46]
3 years ago
10

Greatest common factors of 24 and 30?

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
6 0

6 ... the highest number divisible by both 24 and 30 is 6

Lilit [14]3 years ago
3 0
The gfc of 24 and 30 is 6.
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What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
Given: KLMN is a parallelogram, KA − angle bisector of ∠K LA − angle bisector of ∠L Prove: m∠KAL = 90°
sineoko [7]

Answer: angle KAL = 90°

Step-by-step explanation: The decision on a photo

6 0
3 years ago
In the Diagram Lines M And N are Parallel M < 2 = 150 degress, Find the Measure of the following angles
Snezhnost [94]

<4= 150
<6=150
because the angels are parallel <4 & <2 are the exact same measurements and because 6 is perpendicular to  <4 & <2 thus making it also 150 degrees


5 0
3 years ago
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb
Zanzabum

Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

6 0
3 years ago
Read 2 more answers
If M∠ ABD =64 and M∠CBD=30 then M∠ABC= <br> Need help
Leno4ka [110]

Answer:

\displaystyle m\angle ABC = 34^\circ

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

\displaystyle m\angle ABD = m\angle ABC + m\angle CBD

Substitute in known values:

\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)

And subtract. Hence:

\displaystyle m\angle ABC = 34^\circ

In conclusion, ∠ABC measures 34°.

4 0
2 years ago
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