Answer:
See below.
Step-by-step ,explanation:
2^13 – 2^10 – 2^9
Take out the GCF, 2^9 :
= 2^9 (2^4 - 2 - 1)
= 2^9(16 - 3)
= 13 * 2^9.
So it must be divisible by 13.
Answer:
angle s equals to angle t
Step-by-step explanation:
the triangle is an isosceles triangle so...angle s equals to angle t
One of the triangles (that on the left, top) has 2 equal sides, and thus is isosceles. The angle immediately adjacent to and to the right of 110 degrees is 180-110 degrees, or 70 degrees, which means that angle 1 is also 70 degrees. The remaining angle is 180 degrees less 2(70 degrees), or 40 degrees; thus, angle 2, immediately adjacent to and to the right of this 40 degree angle, is 180-40, or 140 degrees. The triangle to the right and below the horiz. line has angle 40 degrees (using the principle of vertical angles); thus, angle 3 is 180-(40+90) degrees, or 50 degrees.
Answer:
x = 12, y = 16
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
18(2x + 6) = 540 ( divide both sides by 18 )
2x + 6 = 30 ( subtract 6 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
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and
= , substitute values
= ( cross- multiply )
27y = 432 ( divide both sides by 27 )
y = 16
