Answer:
84°
Step-by-step explanation:
1. <u>point of intersection of 2y=x-13 and 3y+x+12=0</u>
x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5
x = 2*(-5) +13 = 3
point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)
slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7
L2 pass (3 , -5) perpendicular to 2x-5y=4
2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5
so slope of L2 = -5/2
angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|
==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75
Θ = 84°
I don't think you mean a "perfect" square. A perfect square is a whole number
that is the product of a smaller whole number multiplied by itself.
1, 4, 9, 16, 25, 36, and 49 are the perfect squares that are less than 50.
I think you mean a "magic" square ... one in which each row, each column,
and each diagonal, all add up to the same number. If that's what you mean,
then the answer to the question is "no". Magic squares are always square.
That is they always have the same number of rows and columns. So the
number of 'cells' in a 'magic' square is always a 'perfect' square.
50 isn't a perfect square, so you can't make a magic square with it.
90 = 20 + 70.....GCF of 20 and 70 is 10
90 = 10(2 + 7) <==
can u write another expression using a different common factor...yes
90 = 20 + 70.....common factor is 5
90 = 5(4 + 14) <==
Answer:
Hope the picture will help you
Answer:
1) 11
2)275
3)11
Step-by-step explanation:
0.20 x 55= 11
55 x 5=275
0.2*55=11