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3 years ago

I need to determine each angles measure. M 4 M 6

Mathematics

1 answer:

Ulleksa [173]3 years ago

7 0

By geometrical inspection we have:
M4 = 30
Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
180-90-30 = 60 = M3
Then to find M6 we have
M3 + 60 + M6 = 180
M6 = 180-60-M3
M6 = 180-60-60
M6 = 60
answer:
M4 = 30
M6 = 60

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Factorise <br> a) 4p²-81<br> b) x²-13x+36

taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

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3 years ago

Apply the distributive property to create an equivalent expression.<br> 1/5 (15+10k) =

ziro4ka [17]

Answer:

1/5(15+10k)

=1/5.15+1/5.10k

=3+2k

5 0

3 years ago

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Serjik [45]

Are you studied on his work

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3 years ago

Can someone please help? i’ll make you a brainliest.

Darya [45]

Answer:

Step-by-step explanation:

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3 years ago

If you divide 6! by 4! you are evaluating P(6, 4)

Aleks [24]

When you're evaluating P(n, k), you are essentially saying there are n objects and you will need to arrange them in k spaces.

This is essentially the same as: $^{6}P_4$ , which follows the formula:

$P(6, 4) = ^{6}P_4 = \frac{6!}{(6 - 4)!} = \frac{6!}{2!}$
If you're dividing by 4!, you are evaluating P(6, 2)

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3 years ago